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SIMVEC

VDI Wissensforum GmbH (ed.)

Series: VDI-Berichte

Volume 2445 2024

Results in this title

S. Thel, L. Greve, M. Karl Finite Element Method Integrated Networks S. 461-484

doi.org/10.51202/9783181024454

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Schraubenverbindungen 2018

VDI Wissensforum GmbH (ed.)

Series: VDI-Berichte

Volume 2336 2018

Results in this title

P. Thomsen Berechnung von Flanschverbindungen nach der Finite-Elemente-Methode – Vergleich der numerischen mit analytischen Berechnungen S. 215-222

„… Berechnung von Flanschverbindungen nach der Finite- Elemente-Methode Vergleich der numerischen …” „… Finite-Elemente-Methode durchgeführt. Es wird ein Vergleich der auf ANSYS basierenden Finite-Elemente …” „… . Finite-Elemente-Methode Der Nachweise so hoch komplexer Systeme wie Flanschverbindungen, scheint sinnvoll nur nach der …”

U. Lohse, K. Stockhausen, B. Voss, A. Enns Herausforderungen einer thermisch-transient belasteten Schraubverbindungen größer M39 am Beispiel der Außengehäuse-Verschraubung einer stationären Gasturbine S. 165-180

„… von Dampfturbinen. Diese werden hier kombiniert mit der Methode der Finiten Elemente(FEM). Die …” „… steam turbines. These are combined here with the finite element method (FEM). The assessment is backed …” „… Kontaktmodellierung und thermischen Randbedingungen für die Schraubenverbindung Bild 10: Finite Element Netz des …”

Titelei/Inhaltsverzeichnis S. I-VII

„… Flanschverbindungen nach der Finite-Elemente-Methode – Vergleich der numerischen mit analytischen Berechnungen …” „… . Öngün, Opel Automobile GmbH, Rüsselsheim Eine Methode zur Validierung des selbsttätigen Lösens der …” „… Produktentwicklung am Karlsruher Institut für Technologie (KIT), Karlsruhe Anwendung zeitraffender Methoden zur …”

U. Petersen Analytisches Berechnungsverfahren zur Bestimmung der Schraubenzusatzkräfte von beliebig rechtwinklig berandeten Mehrschraubenverbindungen unter Betriebslast S. 203-214

„… den Seiten 3 und 4 der Finite-Elemente-Analyse (FEA) zu der analytischen Berechnung sein, da das …” „… des Berechnungsmodells Im folgenden Kapitel wird zuerst auf eine Methode, die „modifizierte …” „… . L y Lx VDI-Berichte Nr. 2336, 2018 203 2. Methode der modifizierten Superposition Häufig werden …”

J. Hebig, D. Polyakov Systematische Berechnung von Ein- und Mehrschraubenverbindungen im Einflussfeld der Systemparameter S. 191-202

„… Finite-Elemente-Netzes. 5.1 Fazit Das Voronoi-Diagramm bietet die Möglichkeit die Einflüsse der einzelnen Schrauben …” „… Arbeit wird das „Voronoi-Diagramm“, eine Methode aus der Geometrie vorgeschlagen, um eine mathematische …” „… . Erstmalig wird somit eine detaillierte Methodik zur Auswertung der Trennfuge von Schraubenfeldern im …”

doi.org/10.51202/9783181023365

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International Conference on Gears 2017

VDI Wissensforum GmbH (ed.)

Series: VDI-Berichte

Volume 2294 2017

Results in this title

A. Mihailidis, G. Korbetis, N. Drivakos, I. Nerantzis Finite element method based analysis of planetary gear systems considering backlash and manufacturing deviations S. 75-82

„… Finite element method based analysis of planetary gear systems considering backlash and …” „… strongly on design, material and operation conditions. Modern analysis methods, such as the Finite Element …” „… . Athanasopoulos: Finite element method based analysis of planetary gear systems considering backlash and …”

A. Miltenović, M. Banić, Ž. Mišković, R. Mitrović, V. Miltenović Prediction of heat generation in transmission bearings by application of FEM S. 1199-1208

„… five causes, which is considered to be dominant. By application of finite element method, the heat …” „… distribution of the transmission bearing. The method consists of two analyses by finite element method which …” „… Analyses of a Railroad Roller Bearing using the Finite Element Method. Ph.D. Thesis, Department of …”

B. Schlecht, T. Schulze, K. Riedel Tooth contact analysis under load on double helical-geared planetary gearboxes S. 83-96

„… example, the calculation software [2] uses the influence coefficient method, based on finite element …” „… methods offer the possibility to use the actual assembly design for the necessary finite element analysis …” „… , finite element analyses and their computing times are not efficient for multiple calculations, as it is …”

L. Geng, N. Mimi, L. Lan, Z. Ying, W. Liyan Mesh stiffness of cylindrical gear including tooth surface – Friction based on FEA method S. 807-814

„… stiffness of cylindrical involute gears using a combination of finite element method (FEM) and local contact …” „… obtained with a finite element model by using substructure method, and the tooth contact deformations are …” „… the finite element model is shown in Fig. 2. And the bending deformation is separated from the total …”

J. W. Vriesen Topographical tooth modifications in planetary gears for reduction of the noise excitation without load capacity loss – Optimization of complex systems capable of oscillation S. 185-196

„… possible and exactly. The finite elements method (FEM), [13], is very helpfully and nowadays the software …” „… carrier in a gearbox. One used easy mechanical models, after that use strongly simplified finite elements …” „… finite elements models determines the different deformation on the individual planet gear position at …”

S. Stoyanov, V. Dobrev, A. Dobreva Investigating dynamic behavior of planetary gear trains through the systematic approach S. 197-208

„… . The elaborated CAD models have been investigated thought the Finite Element Analysis and the …” „… . 2: Contact settings: a – Pressure - Overclosure method; b – sliding formulation: finite sliding or …” „… planetary train model VDI-Berichte Nr. 2294, 2017 203 Several finite elements models of gear trains has …”

B. Černe, D. Zorko, J. Duhovnik Semi-analytical method for the prediction of the flank temperatures of polymer gears during running S. 1611-1624

„… computation analysis, using the finite element method for a single meshing cycle, where the characteristic …” „… , 2017 1611 solution using the backward finite difference method is presented for the evaluation of …” „… finite element software ANSYS Workbench was used to perform the fundamental mechanical analyses of the …”

A. Carbonelli, J.-Y. Guerder Computing and minimizing the whining noise – Application to a bogie gearbox S. 517-526

„… of the computational scheme This computational scheme requires a finite element model of the …” „… . Therefore we consider a mean micro-geometry. The finite element model built cannot always be tuned based on …” „… , the finite element model cannot be tuned without an experimental analysis. On the Fig. 6, we see the …”

A. L. Kapelevich, Y. V. Shekhtman Root fillet optimization of thin rim planet gears with asymmetric teeth S. 741-750

„… Design method optimizes various parameters and elements of gear tooth geometry to achieve the required …” „… trajectory on the mating gear tooth tip in a backlashless engagement. Finite element nodes are evenly …” „… distributed along the initial root fillet profile. The first and last finite element nodes of the initial …”

P. Garambois, E. Rigaud, J. Perret-Liaudet Robust optimization of gear macro and micro-geometries in order to minimize static transmission error and gear stiffness fluctuations S. 927-938

„… is constructed in a prior calculation, most of the time with a finite element of the wheels. All of …” „… matrix H is. Usually, a finite element model of the geared wheel is built. An interpolation linking the …” „… point of the finite element model and the point of the lines of action is made. Then the construction …”

B. Guilbert, P. Cutuli, P. Velex Hybrid dynamic model of hollow thin-rimmed gears S. 623-634

„… , D.N., A general purpose, multi-stage component modal synthesis method, Finite elements in analysis …” „… combines lumped parameter elements and condensed finite element sub-structures along with a mortar-based …” „… bodies. Gear bodies are initially simulated by finite elements making it possible to account for …”

E. Rigaud, P.-H. Cornuault, B. Bazin, E. Grandais-Menant Prediction of the vibroacoustic response of an electric window-lift gear motor S. 635-648

„… by the finite element method. The elastic coupling between the worm and the gear wheel is introduced …” „… electromagnetic forces is computed using the simulation software Maxwell©. A 2D finite element modelling of the …” „… the normal electromagnetic forces is projected onto the 3D steel stator structural finite element …”

I. Atanasovska, H. Abderazek Comparative analysis of few new procedures for spur gears tooth profile optimization with different methods and aspects S. 1169-1176

„… nominal load effects on gear load capacity using the finite element method. Proceedings of the …” „… algorithm. The contact nonlinear Finite Element Analysis is used in each of the developed procedures in …” „… , every of developed procedures used the same Finite Element Analysis (FEA) for deformation and stress …”

H. B. Endeshaw, S. Ekwaro-Osire, F. M. Alemayehu, J. P. Dias Estimation of remaining useful life of gears with uncertainties in loading and material parameters S. 1063-1072

„… build a finite element model for the crack propagation in the gear tooth to determine the stress …” „… method. Once nodal displacements of the singular elements were obtained from ANSYS, displacement …” „… ) (b) Fig. 1: Finite element model (a) cracked gear tooth (b) singular element at the crack tip …”

D. Liang, B. Chen, R. Tan, C. Li Tooth profiles design and stress analysis of double helical gear transmissions with geometric elements constructed tooth pairs S. 411-420

„… under the guarantee of calculation precision. The pre-processor of finite element analysis is …” „… mm and the size in no contact area is set as 3mm. Finite element model of engagement pair is shown …” „… . 6: Finite element model of engagement pair: (a) network form; (b) meshing pair definition …”

T. Aoyama, H. Inokura, Y. Shibata Prediction of plastic deformation in hypoid gears S. 669-682

„… . Yield areas and internal stresses in the tooth flank are identified by finite element analysis. The …” „… investigated in detail using finite element models as follows. The gear dimensions listed in Table 1 were used …” „… to investigate influence of the case-hardening depth. The finite element models had four teeth as …”

A. K. Shojaei, P. Volgers An improved lifetime prediction technique for plastic gears through finite element analysis and continuum damage mechanics S. 1109-1112

„… An Improved Lifetime Prediction Technique for Plastic Gears through Finite Element Analysis and …” „… incorporates the Finite Element Analysis (FEA) software to predict the fatigue damage in plastic gears. The CDM …” „… prediction methods. 1. Introduction In most of metal applications, crack initiation is considered as the …”

M. Daffner, M. Otto, K. Stahl Elastic deformation of a hypoid gearbox – Measurements on a static test rig to validate the calculated elastic deformation behavior S. 683-694

„… finite elements method. Therefore, the complex elastic deformation behavior of housings can be …” „… finite elements method (ANSYS Workbench and Classic 15). Therefore, the complex elastic deformation …” „… can be determined by using the finite element method. Within the scope of a research project …”

E. Chiappetta, D. Morrey Non-standard spur gear tooth profiles for improved epicyclic gear system performance in low speed applications S. 825-834

„… element method. The gear design approach followed is based on the simple assumption that tooth size is …” „… conditions applied and the stress distribution for one of the cases analysed. Fig. 1: Finite element …” „… the mesh cycle for different design scenarios were modelled using finite element analysis (Ansys [13 …”

X. Gou, L. Zhu, C. Qi Modelling of a gear-rotor system considered tooth contact temperature and its dynamic characteristics S. 1177-1184

„… system and it was studied VDI-Berichte Nr. 2294, 2017 1177 by finite element method. Taburdagita et al …” „… [3] established a finite element model to research the change of tooth surface temperature caused by …” „… heat partition between gear teeth and a numerical approximation was adopted using finite different …”

Y. Wang, B. Peng, G. Liu, L. Liu Design of transmission accuracy of the involute cylindrical gear-worm gear system under large temperature difference based on FE method S. 491-502

„… influenced. In this paper, the finite element analysis method is adopted to the structural analysis of …” „… are given. Then, based on the finite element method, the thermal deformation of each component at …” „… the accuracy design by the finite element analysis with allowable limits. Zhang et al. [7] studied …”

V. Angelopoulos, M. Hirsch PM gear rolling simulations using advanced plasticity material model and improved initial conditions S. 1277-1288

„… is to conduct Finite Element (FE) simulations with an elasto-plastic material model adapted for …” „… process parameters. In this paper, Finite element simulations were performed with improved initial …” „… [4] Kraft T., Y. B. A., R. H., Finite element modelling of PM surface densification process, Powder …”

J. Fechler, M. Böhm, S. Aberle, V. Merz A contribution to the NVH behavior of plastic gears in automotive applications S. 1531-1540

„… transferred in a finite element model. The simulation shows a significant increase of the TE and additionally …” „… with an excitation frequency of the gear set. Finite element simulations are an appropriate tool to …” „… and setup a calculation procedure to minimize the TE to find a low noise gear design. A static finite …”

Titelei/Inhaltsverzeichnis S. I-XXVII

„… , Finite element method based analysis of planetary 75 G. Korbetis, gear systems considering backlash and …” „… , An improved lifetime prediction technique for plastic 1109 P. Volgers gears through finite element …” „… L. Gondecki, Simulation and test method for the lubricant’s influence 29 M. Weibring, on the wear …”

M. Kanters, B. van Wissen, R. Nickel Relevant tribological testing method for high performance plastic gears S. 1507-1518

„… finite element methods (FEM) are used to determine the distribution of the contact pressures and sliding …” „… (semi-analytical) and Finite Element Calculations (FEM) can make an engineer’s life much easier to obtain contact …” „… Relevant tribological testing method for high performance plastic gears Dr.ir. Marc Kanters …”

M. Schwenk, J. Hoffmeister, J. Hermes Prediction of local load carrying capacity for gears – a materials science approach S. 989-1002

„… functions or within very complex finite element codes. Commercially available software such as the FVA …” „… derived, which will be explained further on. Finite Difference Method Case hardening, with its main sub …” „… curvatures of a component and corresponding parameters for 1-D Finite Difference Methode [5] The second term …”

J. Reißmann, E. Leidich Computation of the tooth root strength of Worm Wheels with a calculation program based on local stresses S. 373-394

„… Workbench, the model builder, the finite element solver Z88 [5] and an evaluation part based on the FKM …” „… . Calculation und Evaluation To solve the finite element model, the open source FE-Solver Z88 was used. Figure …” „… lies around the yield strength. Fig. 12: The computed finite element model Fig. 13: Von-Mises …”

D. Strasser, S. Troll, R. Sperlich, J. Münch Reliability safeguarding for an 8 MW wind energy gearbox in serial production – Prototype and process development ensuring stable quality at the highest level S. 1085-1100

„… as possible. Therefore, a complete model of the drivetrain has been set up in a Finite Element Model …” „… rolling contact elements like bearings and gears. The tolerance evaluation of numerous produced gearboxes …” „… years in wind business and knowledge in applying sophisticated simulation tools, three elements of …”

E. Maier, A. Ziegltrum, T. Lohner, K. Stahl Characterization of TEHL contacts of thermoplastic gears S. 1483-1496

„… . Investigations are carried out numerically on a finite-element based TEHL simulation model (tribosimulation) and …” „… element method (FEM) or potential theory), load balance equation and energy conservation. For soft EHL …” „… detrimental accumulation of contact heat limit its applications to lowly loaded machine elements. Lubrication …”

Z. Roth, J. Opferkuch High load capacity gear root fillet contour with a bézier curve S. 719-732

„… in-house software program, which is iteratively based upon the Finite Element Method. The optimization of …” „… program based on the FVA Program STplus with the help of the Finite Element Method. The functionalities …” „… tension triangle method for optimizing notches. This method is published in his book “Verborgene …”

S. T. Ping, Y. M. Shao, L. M. Wang, H. W. Li, J. Xu, Y. Cheng, J. Liu The influence of mesh misalignment on planetary gear set with time-varying mesh stiffness S. 219-230

„… gear coupling by numerical analysis [3]. Barone proposed a finite element method to investigate the …” „… .: Evaluation of the effect of misalignment and profile modification in face gear drive by a finite element …” „… contact stiffness are calculated via analytical method. Secondly, the length fluctuation of the contact …”

R. Meissner, M. Liewald, T. Benkert, M. Hiller, W. Volk Multi-component gearwheels and their manufacturing processes S. 1299-1306

„… elements here. This could be done with stacking after stamping in an industrial process. Wheel body and …” „… necessary. The lightweight geometry is designed using Mattheck’s torque anchor method [4, 5]. Fig. 2 …” „… are applied onto the assembled gearwheel. Structurally meshing the gear ring with hexahedron elements …”

F. Concli, C. Gorla Numerical modeling of the churning power losses of gears: an innovative 3D computational tool suitable for planetary gearbox simulation S. 881-892

„… means of a finite volume approach that, for each element on the computational grid, solves two …” „… mechanisms involved, many analytical methods and international standard are available. On the other hand, at …” „… methods nor automated simulation tools are available, in particular where the interest is focused on load …”

B. Schlecht, K. Neikes, E. Leidich, S. Hauschild Is the mean stress effect for shafts dependent on the geometry, material or load? S. 1145-1152

„… examples of power transmitting elements with mean stress are: the tooth root of gears, axial forces from …” „… stair case method of DIN 50100 [6]. Three different stress ratios R were tested (R 1; R 0; R 0,3 …” „… Fatigue determination with staircase method with at least four specimens Only test results for steel …”

P. Tenberge, D. Kupka, T. Panéro Influential criteria on the optimization of a gearbox, with application to an automatic transmission S. 253-266

„… planet axis from the Finite Element tool included in the simulation software KISSsoft. We can then …” „… critical elements decreasing the system reliability. Because of the axial loads, bearing types and size of …” „… the model, we don’t have a wide range of optimization for these specific elements. Concerning the …”

A. Kahraman, H. Ligata Effects of external splines on deformations of ring gears of planetary gear sets S. 341-352

„… ], and (ii) to develop a two-dimensional finite elements model of an n-planet ( n [3,6] ) planetary …” „… finite-elements (FE) based gear contact models will also be presented to better describe the measured behavior …” „… lower than their nominal rotational center initially due to their weight, the method devised by …”

J. Champain, S. Dalle, M. Octrue Simultaneous experimental characterization of dynamic transmission error to noise and vibration behavior of a gear system under load S. 953-962

„… structure are designed by finite elements calculations to control their dynamic response according to the …” „… standard, that requires the use of a sound intensity probe: the choice of using this method permits to …” „… environment. It is completed by measuring the averaged sound intensity using a double sweeping method onto …”

T. Nagumo, M. Ishizuka, Y. Satou, S. Matsumura, H. Houjoh Estimation of loaded static transmission error using vibration measurement under operating conditions in a two-stage helical gear reducer S. 857-868

„… rotor-shaft system as a lumped parameter model and a gearbox housing as a finite element (FE) model …” „… Technology, Yokohama, Japan Abstract In this study, an estimation method of the loaded static …” „… two-stage helical gear reducer. This method is based on the understanding that vibration is determined by …”

J. Lohmiller, J. Hoffmeister, J. Hermes, M. Ansorg, H. Dhonau Development and investigation of austempered ductile iron (ADI) for thick-walled gear components S. 963-976

„… by the finite difference method (FDM) applying Fourier’s formula for thermal conductivity. The …” „… low content of trace elements, e.g. titanium, which causes carbides and graphite degradation …” „… of alloying elements which are harmful to cast iron. This negative effect is even more pronounced …”

A. Şorea, F. Buus Bendixen Reluctance magnetic gear – Magnetic gears, no longer toothless S. 615-622

„… . Testing and simulation The gear is simulated using Comsol finite elemente software (Fig. 8). The torque …” „… function of the input angle. The arm measuring the torque on the output shaft needed a method to be …”

C. Gosselin, E. Fritz, L. Seiler CnC manufacturing of circular faced cylindrical gears S. 1343-1352

„… I., Computerized design, simulation of meshing, and finite element analysis of two types of …” „… latter is the preferred method as standard cutters can be used. Fig. 8 shows the TE for the same gear …” „… Spurved Gear Sets In order to illustrate the method, two Spurved gear sets, m = 1.352 mm, were designed …”

C. Hasl, P. Oster, T. Tobie, K. Stahl Bending strength of oil-lubricated cylindrical plastic gears – Modified bending strength calculation based on VDI 2736 S. 1649-1660

„… element method). However, because ACORA must be implemented as a calculation program for practical …” „… , load-induced deflections strongly affect the tooth root stresses. In this work, a modified method for …” „… (DIN 3990 Method C) [2] stress correction factor (DIN 3990 Method C) [2] stress correction …”

C. Brecher, C. Löpenhaus, J. Brimmers Potential of free flank modifications for beveloid gears S. 553-564

„… des Linienkontaktmodells für die Finite-Elemente-basierte Zahnkontaktanalyse von Stirnradverzahnungen …” „… methods for beveloid gears, the method for free flank modifications by means of a weighted objective …” „… improve the operating behavior. Therefore, a design method and manufacturing simulation for free flank …”

L. Zhao, R. C. Frazer, B. A. Shaw The influence of overlap ratio on transmission error in parallel axis gears S. 939-952

„… . Frazer [7] used a validated, 3-D Finite Element Analysis and Tooth Contact Analysis program to optimize …” „… using a validated 3D-Tooth Contact Analysis (TCA) method. To ensure the results are valid, mesh …” „… D-TCA method, mesh misalignment, micro modifications. 1 Introduction Gears are used to minimise the …”

S.-J. Tsai, L.-C. Chang, C.-H. Huang Design of cycloid planetary gear drives with tooth number difference of two – a comparative study on contact characteristics and load analysis S. 61-74

„… cycloidal gearbox using finite element method”. AGMA 12FTM18. [6] Li S (2014) Design and strength analysis …” „… or the kinematic methods, e.g. the instant center method [2, 3]. Another evaluation criterion of the …” „… applied method for analysis of the contact stress of the cycloid gear drives is FEM, e.g. [4-6]. The …”

M. Nakagawa, D. Nishida, D. Sah, T. Hirogaki Development of novel test stand for three-axis driving planetary gear train control and analysis of novel PGT for noise reduction S. 331-340

„… lumped-parameter and finite element models, Journal of sound and vibration 332 (2013), pp.2350-2375. [10 …” „… , or no revolution) and rigid body mode (no rotation) by the method of undetermined coefficients. 0:1 …” „… values. This proves that the experimental estimation method was correct and the results are sufficiently …”

doi.org/10.51202/9783181022948

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Mängel - Schäden - Prävention.

BuFAS e.V. (ed.)

2022

Results in this title

Jessica Klinkner Ansätze zur rechnerischen Erfassung des Tragverhaltens von Drahtputzgewölbedecken mithilfe der Finite-Elemente-Methode – Jessica Klinkner S. 199-212

„… rechnerischen Erfassung des Tragverhaltens von Drahtputzgewölbedecken mithilfe der Finite-Elemente-Methode …” „… mithilfe der Finite-Elemente-Methode 201 32. Hanseatische Sanierungstage | Mängel – Schäden – Prävention …” „… der Finite-Elemente-Methode 203 32. Hanseatische Sanierungstage | Mängel – Schäden – Prävention …”

Titelei/Inhaltsverzeichnis S. 1-7

„… rechnerischen Erfassung des Tragverhaltens von Drahtputzgewölbedecken mithilfe der Finite-Elemente-Methode …”

doi.org/10.51202/9783738807714

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Schraubenverbindungen 2022

VDI Wissensforum GmbH (ed.)

Series: VDI-Berichte

Volume 2403 2022

Results in this title

A. Kempf, M. Klein, M. Oechsner Analytischer Ansatz zur Berechnung der effektiv belasteten Kontaktfläche und der gemittelten Flächenpressung unter innentragendem Schraubenkopf unter Einsatz der Finite-Elemente-Methode S. 251-266

„… Schraubenkopf unter Einsatz der Finite-Elemente-MethodeDipl.-Ing. Andreas Kempf (ehemaliger wissenschaftlicher …” „… radialer Richtung aus. Die Simulation mittels Einsatz der Finite-Elemente-Methode (FEM) erfolgt mit dem …” „… Abkürzungs- und Formelverzeichnis FEM Finite-Elemente-Methode IfW Fachgebiet und Institut für Werkstoffkunde …”

A. Hanke, M. Guiard Einfluss des nichtlinearen Modellverhaltens auf die Ermüdungsfestigkeit von Schraubenverbindungen am Beispiel der Blattverschraubung einer Windkraftanlage – Nichtlineare Ermüdungsanalyse einer Mehrsch... S. 403-416

„… Schädigungsakkumulation Die Berechnung der Spannungen aus den Lasten erfolgt mit Hilfe der Finite-Elemente-Methode (FEM …” „… , ist der Aufwand für die Finite-Elemente Berechnung eines jeden Zeitschrittes zu hoch. Die Umrechnung …” „… Hilfe eines Finite-Elemente-Modells ermittelt …”

T. Roth, M. Kröger, A. Kleibl Steigerung der übertragbaren Lasten der Drehkranzverschraubung einer Baumaschine durch eine neuartige Anordnung der Schrauben S. 237-250

„… erfolgte mittels Finite-Elemente (FE) Simulationen. Das Preprocessing erfolgte mit Altair HyperMesh 2021.1 …” „… ] Daidié, A., Chaib, Z., und Ghosn, A.: 3D Simplified Finite Elements Analysis of Load and Contact Angle in …” „… Geometrie der Elemente (Tetraeder und Hexaeder) variiert. Außerdem wurde für alle Bauteile der Einfluss …”

Titelei/Inhaltsverzeichnis S. I-2

„… innentragendem Schraubenkopf unter Einsatz der Finite-Elemente-Methode …” „… . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167J. Holloch, MAN Truck & Bus SE, NürnbergEinfluss von KI-Methoden und Modellierungssystemen auf …”

N. Klügel, A. Lohrengel Berechnung von stirnseitigen Mehrschraubenverbindungen am Beispiel eines dynamisch beanspruchten Freilaufs S. 209-222

„… Freilauf-Flansch-Verbindung durchgeführten Analysen mithilfe der Fi-nite-Elemente-Methode zeigen, dass die radiale …” „… [5] Rust, W.: Nichtlineare Finite-Elemente-Berechnungen mit ANSYS Workbench: Struk-turmechanik …” „… bewirkt die Normalkraft der im Eingriff befindlichen Klemm-elemente FNK eine radiale Aufweitung des …”

M. Schwarz, R. Glienke, F. Wegener, M. Seidel Nachweis der Ermüdungsfestigkeit exzentrisch belasteter Schraubenverbindungen in Flanschverbindungen von Windenergieanlagen S. 491-XVI

„… auf Basis geeigneter Modellierungsstrategien mithilfe der Finiten Ele-mente Methode (FEM) die …” „… Schraubenkraftfunktion mit der Methode der finiten Elemente die bei der Aus-führung tolerierten Flanschklaffungen als …”

doi.org/10.51202/9783181024034

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The hierarchical finite cell method for problems in structural mechanics

Meysam Joulaian

Series: Mechanik/Bruchmechanik

Volume 348 2017

Results in this title

Bibliography S. 140-154

„… finite cell method for the J2 flow theory of plasticity. Finite Elements in Analysis and Design, 69:37–47 …” „… finite element method for elasto-plastic problems. Applied Mathematics and Mechanics, 35(10):1239–1248 …” „… three-dimensional crack initiation and propagation using the extended finite element method. International Journal …”

Titelei/Inhaltsverzeichnis S. I-X

„… ¤ 55,80. Keywords: Finite cell method – Fictitious domain approach – High-order finite element methods …” „… . . . . . . . . . . . . . . . 5 2.2 The finite element method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 Mesh …” „… drastically simplified as compared to the standard finite element method, where boundary-fitted meshes have to …”

Introduction S. 1-4

„… 1 Chapter 1 Introduction 1.1 Motivation The standard finite element method (FEM) is surely a widely …” „… , 122], the generalized finite element method (GFEM) [53, 165, 166], and the eXtended finite element …” „… mesh for a finite element analysis is not feasible or requires a lot of effort. Examples of such …”

Finite cell method for problems in solid mechanics S. 5-26

„… finite element method 7 displacements or the trial space which consists of functions with a specific …” „… the following. 2.2 The finite element method In practice – i.e. in the scope of a computer …” „… , δε = LNδd = Bδd, (2.13) 1Non-uniform rational B-splines 2.2 The finite element method 9 where L is …”

Local enrichment of the FCM S. 72-110

„… applied in finite element based methods. In other words, if the non-smooth part of the solution appears …” „… ) method [24, 122] such as, for example, the extended finite element method (XFEM) [27, 125, 168] – where …” „… – or the generalized finite element method (GFEM) [53, 165, 166], where the enrichment is defined …”

Summary and Outlook S. 133-135

„… slightly more 134 6 Summary and Outlook computationally expensive than the standard finite element method …” „… 133 Chapter 6 Summary and Outlook The FCM offers a powerful discretization method for problems in …” „… work was to improve this method from the viewpoint of numerical integration and the local enrichment …”

Numerical integration algorithms for the FCM S. 27-71

„… , and they may appear in almost any finite element-based method that involves non-conforming meshes, e.g …” „… . in the eXtended/generalized finite element method or in the partition of unity based approaches [27 …” „… accuracy and not on the size of the voxels, as it is the case in the voxel-based finite element method …”

The spectral cell method S. 111-132

„… 2 method [43, 89, 93, 184]. Another possibility is to employ spectral elements where the shape …” „… [18, 19, 176]. 5.2 Spectral cell method and mass lumping in cut cells We combine spectral elements …” „… , we would at first like to compare the convergence behavior of the spectral element method to the …”

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The hierarchical finite cell method for nonlinear problems: Moment fitting quadratures, basis function removel, and remeshing

Simeon Hubrich

Series: Mechanik/Bruchmechanik

Volume 355 2021

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Bibliography S. 154-169

„… , 225:1347–1387, 2007. [16] E. Burman and P. Hansbo. Fictitious domain finite element methods using cut elements …” „… , 199(41-44):2680–2686, 2010. [17] E. Burman and P. Hansbo. Fictitious domain finite element methods using cut elements …” „… . Rank. The finite cell method for the J2 flow theory of plasticity. Finite Elements in Analysis and …”

Titelei/Inhaltsverzeichnis S. I-VII

„… € 55,80. Keywords: Finite cell method – Fictitious domain approach – High-order finite element methods …” „… elements are denoted as finite cells – thus giving the method its name – in order to distinguish them from …” „… Mensch-Maschine-Systeme 23 Technische Gebäudeausrüstung ISBN 978-3-18-335518-1 The hierarchical finite cell method for …”

Introduction S. 1-5

„… simulation tools in the development phase. Here, the application of the finite element method (FEM) is one of …” „… , CutFEM, or CutIGA. In the context of this thesis, we apply the finite cell method (FCM) which was …” „… introduced in [19–22]. The FCM combines the fictitious domain approach with finite elements using shape …”

Basis function removal for the FCM S. 79-123

„… methods, the generalized or extended finite element method (GFEM/XFEM), or the B-Spline finite element …” „… element method, Béchet et al. [138] proposed a special preconditioner for enriched finite elements. In …” „… approach is similar to the finite element tearing and interconnecting method (FETI) presented by Farhat and …”

The finite cell method S. 23-35

„… body-conforming discretization methods like the classical finite element method (FEM). In the following, we …” „… define a widely used standard within the context of the finite element method. However, Gaussian …” „… 3 The finite cell method This chapter is intended to give a brief overview of the finite cell …”

A remeshing strategy for the FCM S. 124-149

„… finite element method as well. A promising approach to overcome this problem is based on remeshing …” „… [158–160]. The basic idea of the remeshing approach is simple. Whenever a finite element violates certain …” „… shape functions from the ansatz, as shown in the previous chapter. When considering problems in finite …”

Moment fitting quadratures S. 36-78

„… extended finite element method (GFEM/XFEM) [90–94], or fictitious domain methods [8, 11, 13, 14] like the …” „… . Note that for the FCM only, in contrast to the standard finite element method, one finite cell with an …” „… finite cell method (FCM) [19–22] or the CutFEM [16, 17] – particular consideration has to be given to the …”

Basic elements of continuum mechanics S. 6-22

„… , the finite element method – which is based on the weak (or variational) form – is applied to find an …” „… continuum mechanics that are needed for the formulation of the finite cell method considering quasi-static …” „… 2 Basic elements of continuum mechanics In this chapter, we briefly outline the basic elements of …”

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Improving the robustness of the finite cell method for problems with large deformations

Wadhah Garhuom

Series: Mechanik/Bruchmechanik

Volume 359 2024

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Bibliography S. 135-152

„… functions in the finite element methods. Computer Methods inApplied Mechanics and Engineering, 343:690–720 …” „… method for the J2flow theory of plasticity. Finite Elements in Analysis and Design, 69:37–47, 2013.[5] A …” „… . Abedian, J. Parvizian, A. Düster, and E. Rank. Finite cell method comparedto h-version finite element …”

Titelei/Inhaltsverzeichnis S. I-VIII

„… Finite-Elemente-Methode (FEM) dar. Die Finite-Cell-Methode (FCM) kombiniert den fiktiven Gebietsansatz mit hierarchischen …” „… Wadnah GarhuomImproving finite cell method robustnessReihe 18 | Nr. 359Reihe 18 …” „… Fortschritt-Berichte VDIGarhuom, Wadhah, M.Sc.HamburgImproving the robustness of the finite cell method for problems …”

Publications resulting from this project S. 134

„… in the finite cell method. Computers & Mathematics with Applications 80, pp.2379–2398, 2020. doi …” „… robustness of the finite cell method for finite strain problems. Computational Mechanics69, pp. 1225–1240 …” „… . Düster, and D. Juhre. Octree-based integration scheme with merged sub-cells for the finite cell method …”

Remeshing strategy for large deformations in the FCM S. 89-129

„… finite element method, particu-larly when the system contains complicated geometries and significant …” „… formulation (ALE). The firstwho worked on this, among others, in the context of the finite element method are …” „… remeshing method, Lee and Bathe [109]recommended the use of a macro-element mesh generator to produce a new …”

Non-negative moment fitting quadrature for cut finite elements and cells S. 27-58

„… standard discretizationmethods such as the finite element method. Nevertheless, the simplification in the …” „… 4 Non-negative moment fittingquadrature for cut finite elements andcellsImmersed boundary domain …” „… methods such as the finite cell method simplify the meshingprocedure significantly. This is because the …”

Introduction S. 1-5

„… 1 Introduction1.1 MotivationThe finite element method (FEM) is a numerical approach used to solve …” „… inthe work of Saul’ev [140]. In addition, XFEM (extended finite element methods [119]), andEPUM …” „… as the finite cell method (FCM)[29, 47, 48, 126, 142], CutFEM [21–24], or CutIGA [53], gained great …”

The finite cell method S. 17-26

„… finite cell methodFigure 3.1: Basic concept of the finite cell method.The same is applied to the weak …” „… 3 The finite cell methodIn recent years, there has been a growing interest in fictitious or …” „… The finite cell methodThe virtual displacement η is approximated using the Bubnov-Galerkin method byη …”

Eigenvalue stabilization technique to increase the robustness of the FCM S. 59-88

„… ], andLoehnert and Beese [116] in the context of the extended finite element method (XFEM).Recently, the method …” „… method,also known as the α-method to improve the condition number of the system within theframework of the FCM …” „… 5 Eigenvalue stabilization technique toincrease the robustness of the FCMDiscretization methods …”

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Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology

Patrick Erbts

Series: Mechanik/Bruchmechanik

Volume 345 2016

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Bibliography S. 186-204

„… the finite element method for three-dimensional curved thin walled structures. International Journal …” „… Hamburg-Harburg, 2010. [46] A. Düster and E. Rank. The p-version of the finite element method compared to an …” „… newton-raphson method in non-linear finite element analysis. Computational Mechanics, 36(2):100– 116, 2005. 192 …”

Numerical methods S. 45-78

„… spatial discretization of the body B using the finite element method (FEM) is described and the time …” „… the thermal field with the finite element method, a weak formulation of the heat conduction equation …” „… linear in the electric potential. 3.2 Finite element method The following section serves to summarize the …”

Titelei/Inhaltsverzeichnis S. I-XVI

„… finite element method is applied while solving the radiation field using computational fluid dynamic …” „… . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 3.2 Finite element method . . . . . . . . . . . . . . . . . . . . . . . . . . 50 3.2.1 Spatial …” „… FEM Finite Element Method 6, 41 FSI Fluid-Structure Interaction 4, 37 FVM Finite Volume Method 59 GJ …”

Conclusions and outlook S. 171-173

„… mechanical fields is carried out by means of the finite element method (FEM). Further, the ambient of the …” „… tools is the radiation field, which is discretized by the finite volume method (FVM). In this context …” „… compared to experimental data. To this end, the finite element solver AdhoC for the thermal field is …”

Numerical examples S. 145-170

„… discretized with ne = 12 high-order hexahedral finite elements that have a polynomial degree of p = 5. All …” „… volume mesh (gray) of the chamber together with finite element mesh (red) of the bimetallic beam. Table …” „… non-matchingmeshes. The bimetallic beam is discretizedwith a very coarse highorder finite element mesh, whereas the …”

Solution of coupled problems S. 79-144

„… discretized by finite elements give rise to another simple but efficient method: The requested data can be …” „… high-order finite element methods in time see the aforementioned articles and also the literature cited …” „… this split become apparent when considering aspects of the numerical implementationwith finite elements …”

Introduction S. 1-7

„… radiation are provided. Further objectives in this chapter are the introduction of the finite element method …” „… ]. Therein, fully coupled electro-thermo-mechanical simulations using the commercial finite element solver …” „… a summary of the finite volume method (FVM) regarding the aspect of radiation in a participating …”

Governing equations S. 8-44

„… treatment with finite elements [84]. To find the rate of deformation, the time derivative of the deformation …” „… formulate the further equations. In this thesis, the method of choice is the material or Lagrangian …” „… or volume elements dV of the reference configuration to the current configuration: d x = ∼Fd X …”

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packREPORT

Browse Volumes: packREPORT

packREPORT Volume 53 (2021) Issue 9 ISSN Online: 0342-3743

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Melanie Sachs Mit Finite-Elemente-Methode Effizienz steigern S. 66-67

„… virtuell und effizient über die Finite-Elemente- Methode zu simulieren. Hierfür hat der deutsche Hersteller …” „… einer verringerten Dicke. Ein neuer Ansatz für die Verpackungsindustrie: die Finite-Elemente-Methode …” „… (FEM). Thyssenkrupp Rasselstein, Deutschlands einziger Weiß- Mit der Finiten-Elemente-Methode kommt in …”

Stößchen! S. 3

„… Performance. 66 Mit Finite-Elemente-Methode Effizienz steigern Bei Weißblechverpackungen kommt ein neuer …”

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Bauingenieur

Browse Volumes: Bauingenieur

Bauingenieur Volume 95 (2020) Issue 04 ISSN Online: 0005-6650

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Hamid Sadegh-Azar, Arthur Feldbusch Nicht-lineare Untersuchungen zur dynamischen Boden-Bauwerk-Interaktion S. S 2-S 7

„… Struktur in einem Finite-Elemente-Modell erfassen und analysieren. Der Schwerpunkt des Beitrages liegt auf …” „… beschriebene Zeitbereichsmethode gelegt. 2 Berücksichtigung der Boden-Bauwerk- Interaktion in Finite-Elemente …” „… - Berechnungen mithilfe von PML-Elementen Bei der Berücksichtigung des Bodens in Finite-Elemente Berechnungen …”

Peter Wriggers, Fadi Aldakheel, Ludger Lohaus, Michael Haist Wasserinduzierte Schädigungsmechanismen zyklisch beanspruchter Hochleistungsbetone/Water-induced damage mechanisms of cyclically loaded High-performance concretes S. 126-132

„… framework for brittle crack propagation based on an efficient virtual element method. In: Finite Elements in …” „… finiten Elemente in ein numerisches Modell umgesetzt, wobei als primäre Variablen die Verschiebung uS …” „… aufgenommen Daten (Bild 2) wurden geometrisch aufbereitet und für eine Berechnung mittels finiter Elemente …”

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Partitioned Solution Strategies for Strongly-Coupled Fluid-Structure Interaction Problems in Maritime Applications

Marcel König

Series: Mechanik/Bruchmechanik

Volume 351 2018

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Bibliography S. 252-266

„… using space-time finite elements”. In: Computer Methods in Applied Mechanics and Engineering 193 (2004 …” „… ] J. N. Reddy and D. K. Gartling. The finite element method in heat transfer and fluid dynamics. Boca …” „… . Wall and E. Ramm. “Fluid-structure interaction based upon a stabilized (ALE) finite element method”. In …”

Titelei/Inhaltsverzeichnis S. I-XVI

„… processing unit FE Finite element FEM Finite element method FSI Fluid-structure interaction FV Finite volume …” „… . . . . . . . . . . . . . . . . . . . . . . . 67 4.5.5 Interpolation on Finite Element Meshes . . . . . . . . . . . . . . . . 68 V Contents 4.5.6 …” „… interface BEM Boundary element method BMWi Bundesministerium für Wirtschaft und Energie (Federal Ministry …”

Structural Problems S. 25-41

„… finite element method (FEM) for the efficient numerical analysis of the problem. If the body undergoes …” „… non-overlapping finite elements Ω , = 1, . . . ,m such that ΩX ≈ Ωh = m⋃ =1 Ω . (3.76) In the general case of …” „… . For each of the finite elements, we interpolate the geometry by a linear combination of the …”

Fluid Problems S. 5-24

„… , alongside finite difference and finite element methods, has emerged as one of the most widely-used numerical …” „… numerical methods are the finite difference method or the finite element method, which, however, will not be …” „… solution of the Navier-Stokes equations, we briefly revisit the finite volume method (FVM), which …”

Benchmark Problems S. 158-217

„… . An FE mesh consisting of 1 × 3 plane-stress anisotropic high-order finite elements of polynomial …” „… the flow problem. The structure is discretized by anisotropic high-order plane-stress finite elements …” „… to finite volume methods. Further, this allows to handle arbitrarily large mesh motion without …”

Introduction S. 1-4

„… , composite materials, plasticity, and contact. Different spatial discretizations such as finite element …” „… , finite volume, or boundary element discretizations are coupled to each other. Choosing different time …” „… black-box manner, they can be quickly exchanged to employ an efficient numerical method for each of the …”

Software Library comana S. 98-157

„… displacements on a finite element discretization, or cell if tractions at the face centers of a finite volume …” „… integration on finite element meshes in the case that a solver does not allow to specify a distributed load at …” „… comana, the notion cell is used as an umbrella term for ordinary finite elements and elements for which …”

Coupled Problems S. 42-97

„… Finite Element Meshes The previously discussed interpolation schemes all fall in the category of …” „… the different schemes. 4.1 Governing Equations In a general multifield problem, we consider a finite …” „… methods, interpolation schemes can also be classified into consistent and conservative schemes [164, p …”

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Bauingenieur

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Bauingenieur Volume 92 (2017) Issue 12 ISSN Online: 0005-6650

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Remus Tecusan, Konrad Zilch Sicherheitsaspekte bei nicht-linearen FEM Berechnungen/Safety aspects in non-linear FEM calculations S. 518-527

„… -Berechnungen 3.1.1 Allgemeines zu Finite-Elemente-Berechnungen Die Finite-Elemente-Methode ist eine etablierte …” „… Finite-Elemente-Methode lediglich eine Näherungsmethode darstellt, die zur Klasse der Diskretisierungsverfahren gehört …” „… , E.: Modellierung mit der Methode der Finite Elemente. In: Betonkalender 2001, S. 143–208. [6 …”

Thomas Furtmüller, Christoph Adam, Robert Veit-Egerer Temperatur- und Massenkompensation für Langzeit-Brückenüberwachung/Temperature and mass loading compensation for long-term bridge monitoring S. 528-536

„… Abschätzung des mass loading Effekts wird ein vereinfachtes Finite-Elemente-Simulationsmodell verwendet, das …” „… vi wird zu den Knotenmassen der Finiten Elemente in der momentan belegten Position addiert, so wie …” „… Finite-Elemente-Balkenmodells addiert werden. Dasselbe Vorgehen wird auf die zweite Richtungsfahrbahn angewendet, wobei in der …”

No title S. A 4

„… integriert Band 92, Dezember 2017 BIM/Eurocodes 3D-Finite Elemente Stahlbau Verbindungen Formfindung …” „… Entwurfsstatik 2D-Finite-Element (FE)-Scheibenberechnungen durch geführt. Für eine wirtschaftliche Bemessung und …” „… Elemente beim Bearbeiten eines Modells grafisch dargestellt. www.bauer-software.de AVA und GAEB DA XML …”

Dimitrios Kolymbas Wie realistisch sind Berechnungen in der Geotechnik?/How realistic are computations in geotechnical engineering? S. 513-517

„… Finite-Element-Berechnungen. Man führt schlussendlich das Problem auf ein lineares Gleichungssystem zurück. Und die Computer …” „… , spricht eher dafür. 6 Validierungen Die Arbeitsgruppe Numerische Methoden in der Geotechnik der DGGT [2 …” „… Genesung genau vorherzusagen. (Weitere Ähnlichkeiten sind zu finden in den verschiedenen Methoden der …”

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Bauingenieur

Browse Volumes: Bauingenieur

Bauingenieur Volume 93 (2018) Issue 04 ISSN Online: 0005-6650

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U. Häußler-Combe Ein Vergleich aktueller numerischer Rechenverfahren am Beispiel von Scheibentragwerken mit Rissen/Current numerical methods in comparison with the example of cracked plates S. 131-140

„… konventionellen Finite-Elemente- Methode stellt die numerische Mechanik in ihren neueren Entwicklungen alternative …” „… Scheiben mit den Methoden „Strong Discontinuity Approach“ (SDA)“, „Extended Finite Elements“ (X-FEM …” „… . Abstract In addition to the conventional Finite-Element-Method, numerical mechanics provides alternative …”

A. Paolini, F. Frischmann, S. Kollmannsberger, A. Rabold, T. Horger, B. Wohlmuth, E. Rank BIM gestützte strukturdynamische Analyse mit Volumenelementen höherer Ordnung/BIM-based structural dynamic analysis using higher-order volumetric finite elements S. 160-166

„… Finite-Elemente-Methode (FEM), also solcher Modelle, die beispielsweise Schalenund Balkenelemente beinhalten [4], [5], [6 …” „… . [22] Düster, A.; Rank, E.; Szabó, B. A.: The p-version of the Finite Element and Finite Cell Methods …” „… ] Babuska, I.; Szabó, B. A.: On the rates of convergence of the finite element method. In: International …”

M. Garifullin, B. Launert, M. Heinisuo, H. Pasternak, K. Mela, S. Pajunen Effect of welding residual stresses on local behavior of rectangular hollow section joints/Einfluss der Schweißeigenspannungen auf die Tragfähigkeit von Rechteck-Hohlprofil-KnotenTeil 1: Entwicklung eines numerischen Modells S. 152-159

„… and validates a finite element model for the joints directly taking into account welding residual …” „… beschreibt eine erweiterte Vorgehensweise für die Finite-Elemente-Modellierung Einfluss der …” „… the residual stresses induced by the welding process. One possible solution is the finite element …”

D. Kueres, P. Schmidt, S. Bosbach, M. Classen, M. Herbrand, J. Hegger Numerische Untersuchungen zur Durchstanztragfähigkeit von Flachdeckensystemen/Numerical investigations on punching shear capacity of continuous flat slabs S. 141-151

„… Innenstützen abzuleiten. Finite-Elemente-Methode Berechnung Stahlbetonbau …” „… nicht-linearen Finite- Elemente-Simulationen genauer untersucht. Das verwendete numerische Modell wird zunächst …” „… Finite-Element-Simulations. The applied numerical model is validated based on results of punching tests. Subsequently, the …”

Resonanzschwingungen des Trockenpartiefundaments einer Papiermaschine S. S 2-S 6

„… Finite-Elemente-Methode als Modalanalyse [2] durchgeführt. Aufgrund der maßgebenden Schwingung in Maschinenlängsrichtung …” „… Kreuzspektren im Frequenzbereich angewandt werden. Eine Schwingungsberechnung mittels Finite-Elemente-Modell von …”

Dimensionsanalyse für baudynamische Versuche an kleinmaßstäblichen Modellen S. S 15-S 20

„… Finite-Element-Programmsystem Abaqus [5]. 3.1 Prototyp Als Prototyp wird ein Gebäude mit einer Länge von 62 m und einer Breite …” „… . Finite-Elemente-Modell des betrachteten Prototypen, Punkt für Ergebnisauswertung durch Pfeil gekennzeichnet (modifiziert …” „… , Springer-Verlag, Berlin-Heidelberg, 1980. [4] Baker, W. et al: Similarity Methods in Engineering Dynamics …”

Titelei/Inhaltsverzeichnis S. 1-25

„… in g e n ie u r. d e BIM/Eurocodes 3D-Finite Elemente Stahlbau Verbindungen Formfindung Brückenbau 3 …” „… UNO unterstützen, den Transfer von Wissen und Kompetenzen über nachhaltige Bautechniken und -methoden …” „… übernimmt sind größenvariabler Photovoltaik-Elemente für die Gebäudehülle. Diese sind an der Südfassade des …”

D. Wang, Y. Tan, J. Kollmann, M. Oeser Untersuchung der Griffigkeit auf Asphaltfahrbahnen unter Winterlichen Bedingungen/Evaluation of Asphalt Pavement Skid Resistance under Icy Conditions S. 167-174

„… , F.; Kaliske, M.: Finite-Elemente-Simulation der Reifen-Fahrbahn-Interaktion. In: Bauingenieur 91 …” „… von R² zwischen 0,80 und 0,86 erweisen sich die Gleichungen als sehr gute Methode um die Griffigkeit …”

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Generic Topology Optimization Based on Local State Features

Nikola Aulig

Series: Rechnerunterstützte Verfahren

Volume 468 2017

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Topology Optimization by Predicting Sensitivities S. 48-83

„… (typically a finite element analysis) that yields the structural state u. The efficiency of density-based …” „… objective function and constraints can be obtained by at most one finite element analysis per objective and …” „… of the finite element mesh of the design space is assigned an individual design variable. Since the …”

Structure Representations for Evolutionary Computation S. 29-47

„… the evaluation of the structure requires a finite element analysis, the structure 3.2 Grid …” „… Representation 31 is discretized into a finite element mesh. Following this argumentation, the phenotype in …” „… structural optimization is formed by a grid of finite elements that is subject to evaluation. However …”

Titelei/Inhaltsverzeichnis S. I-XVIII

„… : Example for displacements of element nodes when a finite element analysis is performed. . . . . . 57 List …” „… subject to the crash with a rigid pole. . 137 6.10 The finite element model of the frame subject to the …” „… Vector of densities, topology optimization design variables N Number of finite elements in design space …”

Conclusions S. 150-154

„… structure. However, practically, a finite element is removed from a mesh, which is not infinitely small and …” „… model a systematic clustering method for the determination of element prototypes has potential to …” „… receive a generic topology optimization method that is more general than classical approaches. This novel …”

Fundamentals S. 8-28

„… evaluating the method proposed in this thesis. In its finite element form the compliance problem can be …” „… into finite elements, each element is considered as a microstructure. Succeeding the homogenization …” „… design freedom within the finite element discretization of the design space, since each element is …”

Topology Optimization of Crashworthiness Objectives S. 121-149

„… includes a set of finite elements has been proposed [58, 92]. Energy can be distributed uniformly over the …” „… mm edge length cubic elements, which enable the modelling of the contact. The finite element …” „… residual error r(t,ρ) of the dynamic finite element analysis. As for the compliance problem, it is …”

Studies on the Minimum Compliance Problem S. 84-120

„… problem at hand and is generally available when a (displacement-based) finite element solver is applied …” „… design are obtained, while the number of finite element solver runs is reduced 5.3 SVR/LIN-TOPS …” „… nodal displacements are the most basic data obtained from a finite element simulation. In application of …”

Introduction S. 1-7

„… finite element analysis for the prediction of structural performance measures have made computer-aided …” „… determine the model parameters by a supervised learning method based on finite difference sampling. Chapter …” „… process. In contrast to this, methods of design optimization aim at finding the best design parameters in …”

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