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VDI Wissensforum GmbH - Schraubenverbindungen 2018

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VDI Wissensforum GmbH (ed.)

Schraubenverbindungen 2018

Series: VDI-Berichte

Volume 2336 2018

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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

VDI Wissensforum GmbH - International Conference on Gears 2017

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VDI Wissensforum GmbH (ed.)

International Conference on Gears 2017

Series: VDI-Berichte

Volume 2294 2017

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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 …”

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 …”

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 …”

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 …”

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 …”

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 …”

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 …”

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 …”

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 …”

doi.org/10.51202/9783181022948

BuFAS e.V. - Mängel - Schäden - Prävention.

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Mängel - Schäden - Prävention.

2022

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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

VDI Wissensforum GmbH - Schraubenverbindungen 2022

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VDI Wissensforum GmbH (ed.)

Schraubenverbindungen 2022

Series: VDI-Berichte

Volume 2403 2022

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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

Meysam Joulaian - The hierarchical finite cell method for problems in structural mechanics

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Meysam Joulaian

The hierarchical finite cell method for problems in structural mechanics

Series: Mechanik/Bruchmechanik

Volume 348 2017

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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 …”

doi.org/10.51202/9783186348180

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