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VDI Wissensforum GmbH - International Conference on Gears 2019

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VDI Wissensforum GmbH (ed.)

International Conference on Gears 2019

Series: VDI-Berichte

Volume 2355 2019

Results in this title

A. Mihailidis, A. Psarros FEM analysis of the load distribution over the face width of helical gear pairs considering deviations, misalignments and deformations S. 193-202

„… FEM analysis of the load distribution over the face width of helical gear pairs considering …” „… and deformations are considered in an empirical way. Analysis using Finite Element Method seems to be …” „… analysis. Roda-Casanova et al [2] investigated the face load factor in straight spur gears, as calculated …”

A. Miltenović, M. Banić, V. Miltenović Prediction of heat generation of crossed axis gearbox S. 583-594

„… generation using transient thermal analysis and FEM. But for this kind of simulation it is necessary to have …” „… using FEM and software ANSYS WORKBENCH. It is used thermal analysis in time domain, and it is used …” „… convection to ambient. Values of boundary condition that are necessary for FEM analysis are shown in Table …”

F. Mieth, B. Schlecht Loaded tooth contact analysis of bevel gears with complex gear body S. 185-192

„… Loaded tooth contact analysis of bevel gears with complex gear body Dipl.-Ing. Frederik Mieth …” „… contact analysis (LTCA) is necessary. In this paper, the authors show that a detailed knowledge of the …” „… load distribution [2]. One highly sophisticated and computationally efficient method by means of FEM …”

B. van Wissen, M. Kanters, F. Mitsuzuka, K. Iwanaga, Ir. A. Hasanovic Predicting wear for high performance plastic gears S. 1323-1334

„… each gear, causing the same teeth to mate in each cycle. With the FEM analysis, the contact pressures …” „… computed using a Finite Element Method (FEM), by tracking the local pressure and sliding distance versus a …” „… discs are presented in Fig. 2 and compared to the analytical results. As Fig. 2a shows, the FEM …”

H. Xu, D. Qin, C. Liu, Y. Yi, H. Jia Investigation of dynamic modeling and vibration transmission characteristics of helicopter main gearbox S. 449-460

„… the system. Comparing with the lumped parameter model, the finite element model (FEM) has high …” „… calculation accuracy, and the flexibility of each component can be considered. However, the FEM has a large …” „… . [7-8] used a modal synthesis method to condense DOF of the FEM, and establish a hybrid dynamic model …”

F. Concli, C. Gorla Dynamic models for planetary gearboxes SHM S. 471-480

„… analyzed and discussed in the paper. Keywords: planetary gearbox, Dynamic models, SHM, FEM …” „… (FZG) test rig. The numerical FEA (Finite Element Analysis) of an entire test rig already represents a …” „… D relies on a hybrid numerical-analytical approach enabling the analysis of complex systems in a …”

M. Chapron, Q. Theurillat-Bonjour Tooth contact analysis of non-circular gears with non-involute tooth profiles: Application to horological spur gears S. 925-936

„… direct analysis by a FEM approach takes 3 to 4 times as long on a standard office computer. This …” „… Tooth contact analysis of non-circular gears with non-involute tooth profiles: Application to …” „… method (FEM) [2, 3] which is quite time consuming, due to mesh refinement at contact zones, when a …”

B. Mahr, A. Pogacnik, A. Langheinrich Derivation of tooth stiffness of asymmetric gears for loaded tooth contact analysis S. 937-948

„… Derivation of tooth stiffness of asymmetric gears for loaded tooth contact analysis MAS B. Eng …” „… contact analysis (LTCA), affects noise behavior of gears. Modern LTCA software is using semi-analytical …” „… enhanced W/B formulas are compared with FEM results. Additionally, a special load case, load close to the …”

P. Barreiro, J. Hoffmeister, J. Hermes, A. Bronner New improvement opportunities through applying topology optimization combined with 3D printing to the construction of gearbox housings S. 1823-1834

„… structure. An FEM analysis was performed to check and improve safety and weight after each loop. During the …” „… values resulted in insufficient strength after FEM analysis. The next step was the redesign of the …” „… , the result obtained after each loop was verified by FEM analysis comparing stiffness, safety, and …”

D. V. Kalinin, J. Y. Temis Influence of tooth profile modification on planetary gear sets dynamic S. 777-784

„… developed to investigate methods of decreasing dynamic loads and analysis of dynamic stresses of gears in …” „… stiffness characteristics using the FEM. The planetary set with three satellites is considered to simplify …” „… dynamic gear system [5]. The finite element method (FEM) is used to calculate the mesh stiffness function …”

M. Uhlig, C. Pastor Simulation tool-chain for plastic gear design S. 1453-1460

„… slide bearings ensure a robust gear design. Raw material selection based on FEM and fatigue analysis …” „… methods are employed. Finite Element Method (FEM) allows calculation of actual stresses, strains and …” „… subsequent FE calculation as described in [5]. The aim of the FE analysis in the second step is to …”

M. Lutz, J. Hermes Use of multiple-body simulation during the development process of gear units S. 1077-1086

„… simulation models are verified using, for example, FEM calculations, and validated through tests. In …” „… . For this, the components in the CAD must first be prepared for meshing in the FEM. In the FEM …” „… from gearing, bearings, shafts and housings enables a holistic tolerance analysis. The aim is to keep …”

H. Linke, R. Hess Tooth root bending capacity – An analysis of stress and strength S. 949-958

„… Tooth Root Bending Capacity An Analysis of Stress and Strength Prof. Dr.-Ing. habil. H …” „… aware of these effects and to recognise their relevance in the analysis on case by case basis. This …” „… paper will concentrate on some effects, which are usually neglected in the analysis of the tooth root …”

A. Pogačnik, U. Kissling Layout of profile modifications for symmetric and asymmetric plastic gears S. 1461-1472

„… loaded tooth contact analysis (LTCA), which allows the users to analyse the contact during a meshing …” „… contact analysis (LTCA), which allows the users to analyse the contact during a meshing cycle step by …” „… step. LTCA can be performed using a finite element approach (FEM) or with semi-analytical method …”

S. Yokoyama A study of gear oil performances contributing to wind turbine lifetime extensions S. 845-856

„… shock tests. 3.4 Analysis of the tooth surface To know the function of EP additives on pinion …” „… surface, Electron probe micro-analyzer (EPMA) analysis was carried out on the tooth surface after the …” „… analysis (In condition 2 at 14 stage using Gear oil A) Measured P CS Tips Before After Root Tips …”

J.-A. Meis, F. Teklote, M. Borowski Simulation of the tooth root strength under consideration of material quality, finishing process and size effects S. 161-172

„… simulation model was developed to simulate the stresses in the tooth root via FEM, and to perform a strength …” „… blasting processes on the residual stresses are fitted according to the results of the data analysis of …” „… hardness profile itself is based on the data analysis presented in [9]. The survival probability of the …”

B. Schlecht, T. Schulze Improved tooth contact analysis by using virtual gear twins – How helpful is AI for finding best gear design? S. 203-216

„… deformation analysis by FEM). This can be done both in the specified solution space of the learning phase, as …” „… distribution analysis software, a design expert could come to equally good results with simple means. 1 …” „… immense advantages with the Improved tooth contact analysis by using virtual gear twins How helpful is AI …”

F. Andary, G. Jacobs, J. Berroth Application of pre-calculated gear mesh stiffness on elastic gear bodies in multi-body simulation S. 1087-1098

„… elastic bodies using the finite elements method (FEM). However, calculating elastic tooth contact is …” „… caused by the numerical contact analysis while maintaining the elastic behavior of the flexible bodies …” „… both literature and software either use analytical approximations or rely on contact analysis [5 …”

T. Pinel, J. Bruyere, P.Velex, L. Billet Parametric Study of a 3D trochoidal reducer model with involute profile S. 437-448

„… approach of cycloid profile optimization considering on cinematic behaviour. FEM quasi-static models were …” „… at each time-step of the simulation. 3. Quasi-static and Dynamic analysis a. Validation of the …” „… analysis methods of the trochoidal gear reducers," Mechanism and Machine Theory, pp. 140-154, 2014. [6 …”

W. Wagner, S. Schumann, B. Schlecht Co-simulation of the tooth contact of bevel gears within a multibody simulation S. 217-228

„… , methods like the modal reduction of FEM-models were already introduced [1]. However, the modelling of …” „… analysis. The influence numbers describing the tooth stiffness, can be calculated previously by utilizing …” „… tooth contact analysis (LTCA) of the software BECAL [2] (Bevel Gear Calculation) from the FVA e.V …”

Titelei/Inhaltsverzeichnis S. I-XXVI

„… Machine Elements and Machine Design, Dresden FEM analysis of the load distribution over the face width of …” „… , INSA Lyon, LabECAM, Université de Lyon, France Power loss analysis of different high-power density …” „… gearbox typologies: CFD analysis and experimental measurements on a cycloidal gear set …”

D. Fuchs, T. Tobie, K. Stahl, S. Schurer Investigations into non-metallic inclusion crack area characteristics relevant for tooth root fracture damages of case carburised and shot-peened high strength gears of different sizes made of high-qu... S. 287-300

„… stress Determined with depth profile of the load induced stress calculated by FEM influence of mean and …” „… depth profile of the load induced stress (1st mean normal stress) determined by FEM local load induced …” „… Structures 36 (2013) 9, S. 836–850 [11] Sakai, T., Li, W., Lian, B. u. Oguma, N.: Review and new analysis on …”

M. Trubswetter, M. Otto, K. Stahl Evaluation of gear flank surface structure produced by skiving S. 1799-1812

„… perform skiving on a conventional six-axis CNC turn-mill machining center [26]. A systematic analysis of …” „… .: Technological and Simulative Analysis of Power Skiving. Procedia CIRP 50 (2016) 773–778. [7] Guo E et al …” „… : Mathematical model for design and analysis of power skiving tool for involute gear cutting. Mechanism and …”

M. Zapf, J. Klose, F. Zanger, V. Schulze Analysis of process forces and surface topography when manufacturing case-hardened gears by double flanked hard skiving S. 1647-1658

„… Analysis of process forces and surface topography when manufacturing case-hardened gears by double …” „… tools. In-process force measurements supports the accurate analysis of wear mechanisms of the cemented …” „… subjected to tool wear analysis. The results after only 41 tooth gaps are shown in Figure 9. Fig. 9 …”

L. Ryali, D. Talbot A gear load distribution model for planetary gear set with a flexible carrier S. 809-822

„… ]), tooth base flexibility (Empirical formulation based on regression of FEM results [18]) and tooth …” „… ] Stegemiller, M. E., Houser, D. R., 1993, “A three-dimensional analysis of the base flexibility of gear teeth …”

doi.org/10.51202/9783181023556

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VDI Wissensforum GmbH (ed.)

Baudynamik 2018

Series: VDI-Berichte

Volume 2321 2018

Results in this title

F. Taddei, G. Müller Numerische Methoden für die nichtlineare seismische Boden-Bauwerk-Interaktionsanalyse S. 473-482

„… Numerical Methods for the Nonlinear Seismic Soil-Structure-Interaction Analysis Dr.-Ing. Francesca …” „… infinite soil in the seismic analysis of nonlinear structures. Three categories are analyzed: direct …” „… Zeitbereich notwendig. In der Praxis ist die direkte Finite-Elemente-Methode (FEM) dank ihrer Eignung für …”

M. B. Basnet, H. D. B. Aji, F. Wuttke, P. S. Dineva Impedance Functions of Rigid Foundation on Inhomogeneous Elastic and Poroelastic Media Using Hybrid BEM-FEM Approach S. 483-494

„… Hybrid BEM-FEM Approach Min B. Basnet M.Sc., Hendrawan D. B. Aji M.Sc., Prof. Dr.-Ing. Frank Wuttke …” „… Kiel, Kiel Abstract A 2-D hybrid BEM-FEM numerical tool is developed by combining in-house BEM …” „… program with commercial FEM software, ABAQUS. The focus of the study is the dynamic soil-rigid foundation …”

C. Winter, G. Müller Prognose des Energieflusses in Massivholzkonstruktionen im tiefen, mittleren und hohen Frequenzbereich unter Verwendung einer hybriden FEM SEA Methode S. 451-460

„… Frequenzbereich unter Verwendung einer hybriden FEM SEA Methode Christoph Winter M.Sc., Prof. Dr.-Ing …” „… Frequenzbereich ist die Finite Elemente Methode (FEM) für schwingungstechnische und vibroakustische Prognosen …” „… geeignet. Für zunehmende Frequenzen nimmt die modale Dichte zu, wodurch die klassische FEM aufgrund der …”

N. Breitsamter, H. Molzberger iSEG: imb-dynamik Simulation von Erschütterungen in Gebäuden S. 435-450

„… die Finite Elemente Methode (FEM), die Statistical Energy Analysis (SEA) oder die Anwendung „starrer …” „… Erschütterungsquellen. Wir sehen diese Methode als eine Alternative zu numerischen Modellierungen (i.d.R. FEM), da …” „… forecast. We see this method as an alternative to numeric models (mostly FEM) because scattering input …”

Y. Petryna, C.-M. Liao measurements in comparison with previous results M. Heim#H. Loy#M. Biskup Schädigungsüberwachung in Tragwerken mittels Analyse der Wellenausbreitung – Eine Alternative für die klassischen Verfahr... S. 149-158

„… . OMA f1 = 1.29 Hz f2 = 1.39 Hz f3 = 1.56 Hz FEM f1 = 1.21 Hz f2 = 1.27 Hz f3 = 1.40 Hz Bild 3 …” „… composite laminates using guided wavefield imaging and local wavenumber domain analysis. Ultrasonics, 53 …” „… Imperial County Services Building III: Analysis of wave travel times via impulse response functions. Soil …”

doi.org/10.51202/9783181023211

VDI Wissensforum GmbH - International Conference on Gears 2022

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VDI Wissensforum GmbH (ed.)

International Conference on Gears 2022

Series: VDI-Berichte

Volume 2389 2022

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F. Mieth, C. Ulrich, B. Schlecht Stress calculation on bevel gears with FEM influence vectors S. 585-596

„… Stress calculation on bevel gears with FEM influence vectors Loaded tooth contact analysis with …” „… tooth contact analysis (LTCA) is necessary. With LTCA software like BECAL, influence numbers are used to …” „… for calculating stress with FEM influence vectors is presented. This method enables the calculation of …”

T. Matsumura, K. Mioki, M. Kada, R. Okuizumi, A. Pogačnik Improved calculation methodology for the prediction of tooth temperature of plastic gears S. 1237-1248

„… static operation (z54/z54) 2.3 FEM analysis 2.3.1 Dynamic operation The mesh model of the gear pair …” „… actual measure-ment and the FEM analysis, and ii) strain rate dependency at the tooth root. 3.2.1 …” „… deformation amount are shown in Fig. 6. The deformation amount from FEM analysis is less than that from the …”

A. Beinstingel, M. Heider, B. Pinnekamp, S. Marburg Gear mesh excitation and non-uniform rational B-splines S. 91-102

„… commercial FEM-Solver Optistruct are used to perform nonlinear static contact analysis over one gear meshing …” „… transmission based on the Isogeometric Analysis (IGA) [4] is described in detail in [5]. This paper …” „… curved geometries. Hence, the standard Finite Element Method (FEM) needs an adequately high mesh …”

A. Miltenovic, M. Banic Investigation of the meshing friction heat generation of worm gears and influence of the contact shape S. 803-810

„… outlet side of worm gear tooth with right hand of gear. Results of FEM analysis confirm the contact …” „… of the whole worm gear drive using FEM. For the FEM simulation are chosen referenced geometry given …” „… transferred to Ansys for further analysis. 3. Simulation Contact flux distribution of worm gear pair is …”

P. Barreiro, S. Pfrimmer, G. Armutcu, J. Hermes Quality improvement of an aluminum gearbox housing by implementing additive manufacturing S. 1429-1446

„… was developed. Afterwards, an FEM analysis was carried out to check the die’s integrity during the …” „… casting process. The model was built according to given operating conditions. The stress analysis was …” „… optimization of the cooling system was carried out by applying FEM methods, using Ansys Workbench 2020 R1 (see …”

S. Matkovič, M. Kalin Effect of tribological properties on tooth root fatigue failure of polymer gears S. 1257-1268

„… knowledge was then used for detailed FEM analysis of polymer gear root stresses which enabled comparison of …” „… gear fatigue life was conducted in both dry and lubricated conditions. Using these data, FEM evaluation …” „… prediction. They used empirical correlation and more complex tools, such as FEM models and iterative …”

X. Zheng, Y. Hu FE analysis and predication on the traveling wave – resonance of aero-gears S. 915-926

„… FE Analysis and Predication on the Traveling Wave Resonance of Aero-Gears Xingyuan Zheng, Prof …” „… prediction of FEM and traveling wave theory, a damping-ring design methodology is proposed to reduce …” „… and analysis of bevel gear dynamics 1.1 FE-modelling The geometry of a pair of bevel gear pair is …”

J. Thomas, C. Gosselin, F. Mieth Design, strength calculation by ISO10300 and loaded TCA of forged differential bevel gears S. 157-170

„… means of Loaded Tooth Contact Analysis (LTCA). Straight bevel gears for differentials can be designed …” „… design has so far only been possible with considerable special knowledge and sometimes complex FEM …” „… considerably less effort. 2. Basic design of a differential bevel gear set The basis of gear design, analysis …”

U. Kissling Generation of a torque spectrum from measured torque-speed-time data S. 533-544

„… loaded and non-loaded side of a tooth by FEM analysis. The Rainflow method is usually carried out with …” „… drives is growing. Based on such data the service intervals can be adapted due to the analysis of the …” „… that, the so-called rainflow method is used [5, 6]. Rainflow analysis provides a matrix that shows how …”

C. Li, B. Peng, Y. Luo Research on indexing error of gear with few teeth in rolling process S. 445-456

„… teeth in cold roll-forming of gear with few teeth. An analysis model of indexing error considering the …” „… validity of the analysis model. The influence of workpiece diameter and phase deviation of rolling tools on …” „… transmission with high transmission ratio. Atanasiu [4] established the geometric and kinematic design analysis …”

N. Tros, J. Brimmers, T. Bergs Approach for multiscale modeling the thermomechanical tool load in gear hobbing S. 1489-1502

„… ]. For a detailed analysis of the thermomechanical load in the gear hobbing process, Finite Ele-ment …” „… Analysis (FEA) was applied in recent studies. BOUZAKIS ET AL. used the FEA software DEFORM 3D to analyze …” „… exponen-tially increase the required simulation time. For an efficient analysis of the full hobbing process, a …”

A. Pogačnik, U. Kissling The future of plastic gear standardization S. 1149-1160

„… . Currently, the actual path of contact can be considered either by using contact analysis or FEM for the …” „… possible to design plastic gears. But the engineers might require some additional tools (contact analysis …” „… , FEM, …) and most importantly, lots of experiences. It is always recommended to evaluate the designed …”

F. Muller, S. Schumann, B. Schlecht Innovative tooth contact analysis with non-uniform rational b-spline surfaces S. 171-184

„… Innovative tooth contact analysis with non-uniform rational b-spline surfaces Dipl.-Ing. Felix …” „… the tooth contact analysis (TCA) of bevel, hypoid, beveloid and spur gears. The gear geometry is …” „… costly gear tests. BECAL is a comprehensive simulation tool for the tooth contact analysis (TCA) of …”

Titelei/Inhaltsverzeichnis S. I-XXVIII

„… 561 M. Weigand, C. Gachot, TU Wien, Vienna, Austria f FEM analysisDynamic modeling and accuracy …” „… , GermanyPreflight Lx3 am August 23, 2022 | 08:38:21 | 148 mm x 210 mm f Loaded tooth contact analysisDesign …” „… Science and Engineering, Technical University of Dresden, GermanyInnovative tooth contact analysis with …”

A. Mihailidis, A. Psarros, I. Nerantzis FE tooth contact analysis of crossed helical gear drives considering misalignments and deviations S. 597-608

„… , VDI-Berichte 2294, Bd 1, 2017, 75-82. [3] Mihailidis A., Psarros A., FEM analysis of the load distribution over …” „… FE Tooth Contact Analysis of Crossed Helical Gear Drives Considering Misalignments and Deviations …” „… side. This is particularly important for plastic gears. Therefore, Tooth Contact Analysis (TCA …”

E. Lamaj, J. Blomeke, F. Rudolph, J. Hermes A comprehensive, fully parametrized calculation model for improved helical-hypoid gearbox efficiency S. 825-836

„… analysis, the design of new gear-boxes is based on the obvious variation of bearing sizes, distances and …” „… numerical analysis in Ansys from individual housing parts using the Solidworks VBA API. Dive calculates the …” „… conventional approaches like FEM. Thus, BECAL reliably computes local root stress, hertzian pressure and …”

H.-J. Dennig, L. Zumofen, A. Kirchheim, S. Winterberg, D. Stierli Increasing the safety against scuffing of additive manufactured gear wheels by internal cooling channels S. 1345-1364

„… , the setup of a suitable test infrastructure and the analysis of the LPBF gears tested for scuffing …” „… diameter of 2 mm centred in the tooth is chosen as the channel cross-section. A finite element method (FEM …” „… , and the position in the installation space also play a role. Fig. 4: Extract from the FEM parameter …”

J.-A. Meis, M. Walkowiak Influence of case hardness depth on tooth interior fatigue fracture S. 863-874

„… stress σM,FEM and the stress amplitude σA,FEM are shifted according to the local residual stresses σE to …” „… analysis are supplied. Optimizations of the tooth root are also in the scope of this method. Fig. 3 …”

B. Guilbert, P. Velex Influence of thin rimmed/-webbed gears on transmission dynamic behaviour – Approximate dynamic factor formula S. 523-532

„… purposes, (a) solid gear geometry and (b) 3D FEM model to be used in the hybrid dynamic model Table 2 …” „… and numerical results in this example with a solid gear. 4. Analysis of the thin –rimmed/-webbed …” „… .1065-1084. [5] Kubur, M., Kahraman, A., Zini, D. M., Kienzle, K. “Dynamic analysis of a multi-shaft helical …”

W. Kassem, M. Oehler, B. Sauer, S. Schmidt, J. Hausmann Investigation of the time-dependent behavior of plastic gears with local tribological simulation S. 1281-1294

„… developed computational tool provides full coupling between finite element analysis (FEA) and local …” „… analysis to map the thermal and tribological stress of plastic gears. In [12], FEA is also used to map the …” „… combines a finite element analysis to determine the gear deformation and temperature distribution with a …”

B. van Wissen, M. Kanters, F. Mitsuzuka, K. Iwanaga, M. Meuwissen, A. Hasanovic Predicting static and fatigue performance of fiber reinforced plastic gears S. 1083-1098

„… analysis, including the local fiber orientation in combination with the intrinsic material behavior, is …” „… investigated in more detail. 3. Materials, Test Methods and Analysis Techniques Materials A polyamide 4,6 …” „… (see Figure 5). The FEM model of the polymer gear part consist of 400.000 hexahedral elements with a …”

W. Wagner, S. Schumann, B. Schlecht Enhanced loaded tooth contact analysis of hypoid gears within a multi-body-system simulation S. 357-370

„… Enhanced Loaded tooth contact analysis of hypoid gears within a multi-body-system simulation …” „… stage, methods like the modal reduction of FEM-models [1] were already introduced. However, the …” „… contact analysis are examined with the aim to improve the result quality or accelerate the computation …”

I. Moriwaki, K. Tatsuoka, K. Kobayashi, W. Nakamoto, D. Iba, A. Ueda Load-capacity evaluation of polyacetal (POM) internal gears according to JIS B 1759:2016 S. 1161-1172

„… ., http://www.amtecinc.co.jp/new-catalogue/45.CT-FEM-Opera3. html. [10] I. Moriwaki, K. Watanabe, I. Nishiwaki, K. Yatani, M. Yoshihara, and …” „… A. Ueda, Finite Element Analysis of Gear Tooth Stress with Tooth Flank Film Elements, Proceedings of …”

A. Gebhard, W. Kassem, M. Oehler Cylinder-on-ring model wear tests as an input data source for the simulation of friction and wear of plastic gears S. 1133-1148

„… injection moulded plastic gears”), a novel FEM-based multi-physical simulation procedure has been designed …” „… simulationThe gear simulation combines a finite element analysis (FEA) to determine the gear deformation and …” „… analysis Friction calculationTemperature calculation Wear simulationGeometry adjustmentnext gear mesh …”

T. Arndt, J. Klose, M. Gerstenmeyer, V. Schulze Tool wear development in gear skiving process of quenched and tempered internal gears S. 1331-1344

„… conditions was determined. Therefor the use of single tooth test setups allows a process analysis to be …” „… 4140 Rm = 1400 Mpa – AISI 4340a) b)VDI-Berichte Nr. 2389, 20221338For a detailed analysis of the …” „… partners in easier-to-investigate kinematics. − Multiscale simulations by means of FEM, CFD and molecular …”

doi.org/10.51202/9783181023891

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

Results in this title

Introduction S. 1-4

„… 1 Chapter 1 Introduction 1.1 Motivation The standard finite element method (FEM) is surely a widely …” „… triangles or quadrilaterals in 2D, and tetrahedra or hexahedra in 3D. The resulting accuracy of an analysis …” „… performed using the FEM therefore generally depends on the accuracy of the employed geometrical …”

Bibliography S. 140-154

„… the X-FEM for stress analysis around cracks. International Journal for Numerical Methods in …” „… finite cell method for the J2 flow theory of plasticity. Finite Elements in Analysis and Design, 69:37–47 …” „… Multiscale Analysis Approach. Elsevier, 2013. [18] M. Ainsworth and H. Wajid. Dispersive and dissipative …”

The spectral cell method S. 111-132

„… 111 Chapter 5 The spectral cell method An intricate field of the numerical analysis is the dynamic …” „… difficult to obtain a proper mesh for them. Thus, the numerical analysis of problems in this category poses …” „… is one of the main obstacles in the numerical analysis. As another example, take the bone ultrasound …”

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

„… challenges of the method. To this end, we start off by briefly explaining the formulation of the standard FEM …” „… examples to point out the performance of the FCM as compared to the standard FEM. The mathematical …” „… structural analysis. Thus, in order to explain the governing equations, let us consider a problem of linear …”

Local enrichment of the FCM S. 72-110

„… solution obtained from an analysis using standard high-order FEM. The FCM results shown 102 4 Local …” „… 72 Chapter 4 Local enrichment of the FCM In the field of numerical analysis, there are several …” „… analysis with the FCM, it is necessary to properly account for these situations with an appropriate …”

Summary and Outlook S. 133-135

„… which the mesh generation is the main difficulty of the numerical analysis. The main motivation of this …” „… reveal that the proposed method offers almost the same convergence behavior as the standard FCM and FEM …” „… cell method offers a very fast and reliable technique for the numerical analysis of wave propagation in …”

Numerical integration algorithms for the FCM S. 27-71

„… is frequently used in the context of the FEM. In these methods, the integral of interest is …” „… orGauss-Legendre-Lobatto (GLL) quadrature are applied in the FEM. The abscissas and the corresponding weights of these …” „… the GL and the GLL quadrature rules are frequently used in the FEM – thanks to their accuracy and low …”

doi.org/10.51202/9783186348180

VDI Wissensforum GmbH - International Conference on Gears 2023

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VDI Wissensforum GmbH (ed.)

International Conference on Gears 2023

Series: VDI-Berichte

Volume 2422 2023

Results in this title

K. Yanagisawa, K. Kamoshida, A. Domon Prediction of Gear Fatigue Life Considering Glass Fiber Orientation S. 1351-1360

„… orientation dependence(Fig.1) and stress analysis (FEM) considering glass fiber orientation(Fig.2) and is …” „… new methodBy introducing Digimat's anisotropic fatigue material model into FEM analysis, it is …” „… orientation calculated by injection molding analysis.This orientation data is mapped to the model of the …”

J. Zheng, D. Qin, C. Liu A Novel Dynamic Modeling Method of High-Speed Thin-Rimmed Gear Transmission S. 1279-1286

„… and finite element model (FEM) and then carried out simulation analysis and experimental studies for …” „… thin-rimmed gears is proposed, which consists of a meshing force solution model and a reduced-order FEM. By …” „… of the actual contact tooth pair is extracted from the reduced-order FEM of the gear body and …”

C. Karampatzakis, A. Mihailidis, A. Mantzaflaris, C. Provatidis Contact simulation of tooth flanks using Isogeometric Analysis S. 413-428

„… Contact simulation of tooth flanks using Isogeometric AnalysisLeveraging the power of high order …” „… Analysis (FEA), the involute curve is modelled by linear segments, thus deviations from its actual geometry …” „… tooth flanks. Isogeometric Analysis (IGA) is a recent alternative to the FEA. It uses B-Splines, a …”

W. Wagner, S. Schumann, B. Schlecht The relevance of pinion deflection and twisting for loaded tooth contact analysis of high reduction hypoid gears S. 829-838

„… The relevance of pinion deflection and twisting for loaded tooth contact analysis of high reduction …” „… LTCA berücksichtigt werden müssen. Mit Hilfe von FEM-Berechnungen wird der Einfluss von …” „… analysis un-der load (LTCA), such as BECAL. Due to the greatly changed geometry of pinions with small …”

J. Gründer, A. Monz Analytical Method for Calculating the Nominal Tooth Root Stress in Worm Gear Shafts S. 1091-1110

„… determine the amount of bending stress in the 3D FEM analysis because of the complex triaxial stress state …” „… strength of components with any geometry under both static and dynamic load by performing in depth analysis …” „… with the Finite Element Method (FEM). Since this procedure is usually very time-consuming, it can only …”

S. Matkovič, D. Šeruga, M. Nagode, M. Kalin Prediction of tooth root fatigue failure of polymer gears for dry and oil lubricated contact and its comparison to experimentally obtained results S. 1301-1318

„… gear root lifetime and experimentally obtained results. The prediction was performed by coupling FEM …” „… theories used for fatigue life analysis. First, the total-life theory, which is further divided in …” „… experimentally obtained results. The prediction was performed by coupling FEM model with the multiaxial energy …”

F. Mieth, D. Tazir Local load capacity analysis for the design of a balanced flank modification for cylindrical gears according to bevel gear procedures S. 927-944

„… Local load capacity analysis for the design of a balanced flank modification for cylindrical gears …” „… be considered as an example. Table 1: ISO standards for gear analysis Failure Mode Cylindrical Gears …” „… determined locally using gear contact analysis. The lubricant influence factor ZLconsiders the influence of …”

A. Miltenovic, M. Banic Influence of misalignment of large cylindrical gears on contact pattern in operation S. 1257-1266

„… center distance for simulation of misalignment. Further analysis using FEM with thermal analysis can give …” „… analysis is given in Table 1. Table 1: Basic parameters of gear set Parameter Large gear Small gear Center …” „… pressure distribution of gear set is estimated using FEM and software Ansys Workbench. The contact pressure …”

P. Chavan, M. Lutz Validation of an industrial gearbox model for predicting vibro-acoustic behavior S. 619-632

„… Multi Body Simulation (MBS) models are increasingly employed for prediction and analysis of the …” „… measurements. 3 Introduction In the analysis of industrial gear units, MBS is commonly employed to simulate …” „… the gearbox on the test rig. A comprehensive analysis of the structure-borne sound, including both …”

J. Langhart, S. Ebrahimi, T. Kelichhaus A comparison of time and frequency domain approaches for NVH S. 583-598

„… transmissions are meanwhile state of the art and are requested for many applications. For the analysis of …” „… transmission specific software compared to a MBD software. For the calculation of the dynamic analysis in the …” „… analysis of the housing is done in the MBD software RecurDyn from the company FunctionBay [4]. The time …”

C. M. C. G. Fernandes, J. M. A. Pinto, D. E. P. Gonçalves, A. R. Silva Reduction of root and flank temperature using a hybrid polymer-metal rack S. 1547-1562

„… thermally conductive inserts impregnated in the polymer matrix [8]. Figure 1 shows some FEM results for the …” „… . VDI-Berichte Nr. 2422, 2023 1553T T T (1) In Figure 6, point T2B is under analysis and the stabilization …” „… thermal analysis for each increment. Then, the mechanical analysis is performed using the resulting …”

S. Birk, E. Stoppel, V. Labriola Influence of plastic-metal-pairings on the lifetime of gears S. 1535-1546

„… non-linear FEM analysis was performed. By doing so it was possible to reduce the tooth root stress to 93 …” „… plastic gears in the application further investigations has to be done such as the detailed analysis of …” „… reducing its lifetime. VDI-Berichte Nr. 2422, 20231536Fig. 2: FEA analysis of initial gear design The …”

T. Jagiella, S. Haller, J. Lechner, T. Rung, M. Wöppermann, B. Zeeb Building a software toolchain for automated mass-customization of specific end-use gear unit parts using AM-driven design guidelines S. 1607-1616

„… , topology optimization, FEM-analysis and print job preparation. The combination of these strategies leads to …” „… definitions, An automated FEM-System that performs topology optimization on the baseline geometry using …” „… still access the GUI and place orders while the FEM and CAM system can process tasks that are still in …”

J. Lövenich, M. Zalfen, D. Mevissen, J. Brimmers, C. Brecher Crack growth based tooth root life prediction model – an influence quantity analysis S. 109-124

„… Crack growth based tooth root life prediction model – an influence quantity analysis J. Lövenich, M …” „… Zahnfuß-Spannungstiefenkurve (über FEM), die Härtetiefenkurve, die Eigenspannungstiefenkurve und die Defektverteilung als …” „… crack growth. In addition, the tooth root stress depth curve (via FEM), the hardness depth curve, the …”

I. Criscuolo, F. Carneiro, G. Guimarães, R. Rego, J. Mascheroni Indirect Selective Laser Sintering: Modeling and analysis of surface densification by shot peening S. 1681-1698

„… 1687Fig. 4: AISI 5115 Johnson-Cook parameters and FEM model setup. Red marking highlights the analysis …” „… Indirect Selective Laser Sintering: Modeling and analysis of surface densification by shot …” „… parameters, raised from a FEM simulation, to be further discussed. Table 2: Selected shot peening parameters …”

L.-C. Chang, Q. Y. Zhuang, S.-J. Tsai, J.-F. Hochrein, S. Landler, M. Otto, K. Stahl Comparing the contact characteristics of involute gear/ eccentric cycloidal gear calculated by various loaded tooth contact analysis models S. 397-412

„… various loaded tooth contact analysis modelsLing-Chiao Chang, Qi You Zhuang, Prof. Dr.-Ing. Shyi-Jeng Tsai …” „… Tooth Contact Analysis (LTCA) effiziente und unverzichtbare Werkzeuge. In dieserArbeit werden die …” „… gear design and load analysis, the loaded tooth contact analysis (abbrev. LTCA) approaches are …”

N. Missal, S. Schwertel, M. Ludwig The next level of axial forming for a sustainable component and process chain design S. 1765-1776

„… axial forming [3 through 8] Summarized, the analysis of state of the art showed that the described …” „… gears in blind holes. A detailed analysis of the state of the art can be found in [9]. Production of …” „… concepts. A FEM-based software Meshparts was used for this study. This offers the possibility to …”

B. Guilbert, D. Dureisseix, P. Velex Hybrid models for the simulation of displacements and stresses in lightweight gears S. 315-328

„… studied mode frequency responses Frequencies (Hz) Model a) (rigid pinion + FEM gear)Model b) (FEM pinion …” „… a free vibration analysis based on the hybrid gear model with an averaged linear mesh stiffness …” „… ) for modal analysis of the full system (1425-1445 Hz for symmetrical modes) (b) in forced response at …”

C. Dongu Im, W.-J. Chung, J.-H. Park, D.-J. Moon, Pfor. Y.-J. Park The effect of working surface deviation on transmission error in helical gears S. 1125-1134

„… data, the analysis model was built using commercial software. The finite element method (FEM) was used …” „… gear mesh stiffness, the loaded tooth contact analysis (LTCA) considering the extended contact at the …” „… assembly errors as well as tooth shape deviations, allowing for transmission error analysis through contact …”

A. Beinstingel, F. Haringer, W. Sigmund, M. Heider, B. Pinnekamp, S. Marburg Investigation of Sound and Vibration Behavior of Cylindrical Gears S. 599-618

„… strategy is applied in [10]. Both works focus on a total system analysis to determine the resulting noise …” „… out with the finite element method (FEM) as described in [22]. This computation is performed in each …” „… pair of teeth. The numerical representation is based on the Isogeometric Analysis (IGA) [31] and hence …”

C. Kirchhoff, P. Tenberge Optimization of the vibrational behavior of ZI crossed helical gears with a plastic wheel and a steel worm S. 1419-1434

„… deformation. Within the context of this work, a program is therefore developed that uses FEM to analyze the …” „… the analysis of the transmission behavior and the stiffness of the gearing, FE calculations are …” „… that only these nodes must be considered in the analysis of the calculation, which saves calculation …”

M. Rothemund, M. Otto, K. Stahl Applicability of classic analytical calculation approaches for the design of plastic gears S. 1483-1498

„… of plastic spur gears using FEM evaluation. Finite Element in Analysis and Desin. 27(4), 345-357 …” „… approaches of Weber/Banaschek and Schmidt for contact analysis and the load-carrying capacity calculation of …” „… focused on the design of plastic gears using FE analysis [6–11]. Although these analyses can provide …”

F. Reinle, D. Mangherini, A. Bongiovanni Enhancing gear performance through advanced mass finishing and DEM simulation S. 1777-1786

„… modeled using DEM simulation. In contrast to conventional FEM or CFD, DEM employs independent particles …” „… , 2nd and reverse running gears All the processed gears underwent compressive stress analysis …”

J. Woelling, F. Manis Recycling of carbon fiber reinforced plastics – State of the Art and Challenges S. 1287-1296

„… candidates, to integrate material charts into FEM-analysis and to establish recycled carbon fibres as a …”

P. Fischmann, A. Hilligardt, V. Schulze Tooth Root Burnishing in the Kinematics of Gear Skiving S. 1829-1844

„… a contact analysis where the interaction between tool and tooth gap is analyzed. Hence, contact …” „… °-tangent, based on a preliminary conducted 2D-FEM-Simulation. As the point of maximum tension is in front …” „… lack of residual stress measurement, no analysis can be carried out in this work. By increasing the …”

B.-R. Höhn, Y. Zhang, M. Geitner, M. Otto Efficiency-improvement with low-loss-gears by two different application S. 13-18

„… carrier.VDI-Berichte Nr. 2422, 2023 13Fig. 1: Analysis of Wolfrom-transmission, 3 possible planetary transmission [1 …” „… deformation, which can be calculated with FEM and leads to forces to the axial bearings 44, 48 and 52. These …”

E. Grabovic, A. Artoni, M. Gabiccini, E. Ciulli Exploration of trade-offs between NVH and efficiency in bevel gear design S. 853-880

„… authors. The efficiency calculation is coupled with a state-of-the-art loaded tooth contact analysis (LTCA …” „… contact analysis (LTCA) to predict load sharing between the mating teeth and the pressure distribution …” „… , the LTCA tool was replaced by the Hypoid Analysis Program (HAP) [5], which uses a semi-analytical …”

S. Landler, M. Trübswetter, M. Otto, K. Stahl Parameter Based Definition of Eccentric Cycloid Gearings S. 1207-1228

„… this case, as well, only the structure is described in the literature without a detailed analysis of …” „… action. They also present results of a loaded tooth contact analysis performed with the finite element …” „… different designs and applications. A detailed analysis of the geometry is not performed. The additive …”

J.-A. Meis Parametric system simulation of load sharing in planetary gearboxes S. 269-280

„… software, and to transform them into a format that can be used in the FEM software Ansys. This is …” „… in the contact zones however is off high quality to ensure precise analysis of contact pressure and …”

D. Zorko, N. Vukašinović, B. Černe The effect of gear manufacturing quality on the mechanical and thermal state of a plastic gear S. 1319-1332

„… the described FEM model, the elastic deformations of the teeth were also taken into account when …” „… . Tavcar, R. Zavbi, Flash Temperature Analysis Method for Polymer Gears With Consideration of Deviations in …”

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