Experimental investigations and material modeling of an elastomer jaw coupling

Arthur Ewert; Johannes D. M. Menning; Artem Prokopchuk; Thomas Rosenlöcher; E.-F. Markus Vorrath; Thomas Wallmersperger; Berthold Schlecht

doi:10.1515/mt-2024-0028

Article

Experimental investigations and material modeling of an elastomer jaw coupling

Arthur Ewert
Arthur Ewert, studied Mechanical Engineering at the TU Dresden. Since 2022, he works as a Research assistant at the Chair of Machine Elements of TU Dresden.
, Johannes D. M. Menning
Johannes D. M. Menning, studied Mechanical Engineering at HTW Berlin and TU Dresden. Since 2021, he works as a Research assistant at the Chair of Mechanics of Multifunctional structures at the Institute of Solid Mechanics of TU Dresden.
, Artem Prokopchuk
Artem Prokopchuk, studied Information Systems at National Technical University of Ukraine at Igor Sikorsky Kyiv Polytechnic Institute. Since 2022, he works as a Research assistant at the Chair of Microsystems (Institute of Semiconductors and Microsystems) of TU Dresden.
, Thomas Rosenlöcher
Dr.-Ing. Thomas Rosenlöcher, studied Mechanical Engineering at the TU Dresden. Since 2005, he works as a research associate at the Chair of Machine Elements of TU Dresden and received his doctoral degree in 2012 from the same university.
, E.-F. Markus Vorrath
Dr.-Ing. E.-F. Markus Vorrath, studied Mechatronics Engineering at TU Ilmenau and TU Dresden and received his doctoral degree in Electrical Engineering from TU Dresden. Since 2020, he is Emmy Noether Research Group MEITNER leader at the Chair of Microsystems at the Institute of Semiconductors and Microsystems, TU Dresden.
, Thomas Wallmersperger
Prof. Dr.-Ing. Thomas Wallmersperger, studied Aerospace Engineering at the University of Stuttgart and received his doctoral degree in 2003 from the same University. Since 2010, he is head of the Chair of Mechanics of Multifunctional Structures at the Institute of Solid Mechanis, TU Dresden.
and Berthold Schlecht
Prof. Dr.-Ing. Berthold Schlecht, studied Mechanical Engineering at the Gerhard-Mercator-University Duisburg and received his doctoral degree in 1993 from the same university. Since 2001, he is professor at the chair of Machine Elements and director of the Institute of Machine Elements and Machine Design of TU Dresden.

Published/Copyright: July 17, 2024

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From the journal Materials Testing Volume 66 Issue 9

Abstract

This work investigates the hyper-viscoelastic behavior of a thermoplastic polyurethane IROGRAN A 92 E 5670 FCM used in the gear rim of a jaw coupling. The aim is to provide the material parameters for the modeling of jaw couplings in engineering tasks. Uniaxial compression tests were conducted at various temperatures and loading speeds to fit a hyper-viscoelastic material model. The material model uses the Yeoh free energy and the power law model with one Maxwell element. The parametrized material model showed very good results in comparison to experimental data. In addition, the influence of friction on the experiments was modeled, investigated, and discussed. Further component tests for a jaw coupling of size 28 were conducted with two different specimen types. The original gear rim and a modified gear rim with central boreholes for integrated sensors were used in the test. The influence of such a modification was investigated with four different loading cases, focusing on the torsion-torque characteristic and the relative damping. These component tests enable the validation of numerical models of jaw couplings.

Keywords: component testing; jaw coupling; material modelling; mechanical elements; mechanical testing

Corresponding author: Arthur Ewert, 214800 Institute of Machine Elements and Machine Design, TU Dresden, Münchner Platz 3, 01187 Dresden, Germany, E-mail: arthur.ewert@tu-dresden.de

Funding source: Deutsche Forschungsgemeinschaft

Award Identifier / Grant number: 441853410

Award Identifier / Grant number: 466661922

Award Identifier / Grant number: 418669083

About the authors

Arthur Ewert

Arthur Ewert, studied Mechanical Engineering at the TU Dresden. Since 2022, he works as a Research assistant at the Chair of Machine Elements of TU Dresden.

Johannes D. M. Menning

Johannes D. M. Menning, studied Mechanical Engineering at HTW Berlin and TU Dresden. Since 2021, he works as a Research assistant at the Chair of Mechanics of Multifunctional structures at the Institute of Solid Mechanics of TU Dresden.

Artem Prokopchuk

Artem Prokopchuk, studied Information Systems at National Technical University of Ukraine at Igor Sikorsky Kyiv Polytechnic Institute. Since 2022, he works as a Research assistant at the Chair of Microsystems (Institute of Semiconductors and Microsystems) of TU Dresden.

Thomas Rosenlöcher

Dr.-Ing. Thomas Rosenlöcher, studied Mechanical Engineering at the TU Dresden. Since 2005, he works as a research associate at the Chair of Machine Elements of TU Dresden and received his doctoral degree in 2012 from the same university.

E.-F. Markus Vorrath

Dr.-Ing. E.-F. Markus Vorrath, studied Mechatronics Engineering at TU Ilmenau and TU Dresden and received his doctoral degree in Electrical Engineering from TU Dresden. Since 2020, he is Emmy Noether Research Group MEITNER leader at the Chair of Microsystems at the Institute of Semiconductors and Microsystems, TU Dresden.

Thomas Wallmersperger

Prof. Dr.-Ing. Thomas Wallmersperger, studied Aerospace Engineering at the University of Stuttgart and received his doctoral degree in 2003 from the same University. Since 2010, he is head of the Chair of Mechanics of Multifunctional Structures at the Institute of Solid Mechanis, TU Dresden.

Berthold Schlecht

Prof. Dr.-Ing. Berthold Schlecht, studied Mechanical Engineering at the Gerhard-Mercator-University Duisburg and received his doctoral degree in 1993 from the same university. Since 2001, he is professor at the chair of Machine Elements and director of the Institute of Machine Elements and Machine Design of TU Dresden.

Acknowledgments

The authors also want to thank Dr. Jörn Jaschinski, Institute of Lightweight Engineering and Polymer Technology, TU Dresden, Germany for his experimental support.

Research ethics: Not applicable.
Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.
Competing interests: The authors state no conflict of interest.
Research funding: German Science Foundation (DFG) within the grants WA 2323/21-1, HE 7385/3-1, SCHL 1736/8-1 (project number: 441853410, 466661922 and 418669083).
Data availability: Not applicable.

Appendix

In the following, the derivation of Equation (14) is given. To compute the nonequilibrium part of the first Piola Kirchhoff stress tensor, the chain rule can be used

(18) P neq = ∂ Ψ ∂ I 1 e ∂ I 1 e ∂ λ

with I 1 e = tr ( C : ( C v ) − 1 ) and

(19) C = ( λ 2 0 0 0 λ − 1 0 0 0 λ − 1 )

(20) C v = λ v 2 0 0 0 λ v − 1 0 0 0 λ v − 1

follows

(21) I 1 e = 2 λ v λ + λ 2 ( λ v ) 2

and

(22) ∂ I 1 e ∂ λ = − 2 λ v λ 2 + 2 λ λ v 2 .

which, inserted into Equation (18) yields

(23) P neq = 2 ∂ Ψ ∂ I 1 e ( λ ( λ v ) 2 − λ v λ 2 ) .

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Published Online: 2024-07-17

Published in Print: 2024-09-25

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Articles in the same Issue

https://doi.org/10.1515/mt-2024-0028

Keywords for this article

component testing; jaw coupling; material modelling; mechanical elements; mechanical testing