journal article·2021-05-28Open access

Determination of Mesh Stiffness of Gear—Analytical Approach vs. FEM Analysis

Jan Flek, Martin Dub, Josef Kolář, František Lopot, Karel Petr

Applied Sciences· Volume 11· Issue 11

Abstract

This paper focuses on modeling the time-varying stiffness of spur gearings, which in dynamic models of transmission systems acts as an important element of the internal excitation of the dynamic system. Here are introduced ways to approach the modeling of gear stiffness using analytical calculations, which allow to model the course of mesh stiffness depending on its rotation. For verification of used analytical model were created five different gearings, and based on their geometry, the respective stiffness curves were analytically determined. Subsequently, a finite element simulation was performed in the Abaqus CAE software. Due to this software, it was possible to identify and objectively compare the stiffness curves and further determine the suitability of using the analytical model to determine the mesh stiffness of gearing.
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Research context

OpenAlex topics: Gear and Bearing Dynamics Analysis · Tribology and Lubrication Engineering · Mechanical Engineering and Vibrations Research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Designing and Machine Components, Faculty of Mechanical Engineering, Czech Technical University in Prague, Technická 4, Prague 6, 160 00 Dejvice, Czech Republic

Department of Automotive, Combustion Engine and Railway Engineering, Faculty of Mechanical Engineering, Czech Technical University in Prague, Technická 4, Prague 6, 160 00 Dejvice, Czech Republic

Funding

Czech Technical University in Prague

References (18)

Show source-provided references
1. Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth10.1016/j.engfailanal.2011.07.006 ↗
2. Effect of mesh stiffness of healthy and cracked gear tooth on modal frequency response characteristics of geared rotor system10.1016/j.mechmachtheory.2016.10.006 ↗
3. Contribution of Gear Body to Tooth Deflections—A New Bidimensional Analytical Formula10.1115/1.1758252 ↗
4. Yang, L.T., Shao, Y.M., Jiang, W.W., Zhang, L.K., Wang, L.M., and Xu, J. (2021). Effects of Tooth Surface Crack Propagation on Meshing Stiffness and Vibration Characteristic of Spur Gear System. Appl. Sci., 11.10.3390/app11041968 ↗
5. Nonlinear dynamics of a spur gear pair with force-dependent mesh stiffness10.1007/s11071-019-05348-0 ↗
6. An improved time-varying mesh stiffness algorithm and dynamic modeling of gear-rotor system with tooth root crack10.1016/j.engfailanal.2014.04.005 ↗
7. Experimental measurement of gear mesh stiffness of cracked spur gear by strain gauge technique10.1016/j.measurement.2016.03.001 ↗
8. Mesh stiffness and nonlinear dynamic response of a spur gear pair considering tribo-dynamic effect10.1016/j.mechmachtheory.2020.103989 ↗
9. An analysis of the automotive driveline dynamic behaviour focusing on the influence of the oil squeeze effect on the idle rattle phenomenon10.1016/j.jsv.2007.02.008 ↗
10. Šalamoun, C. (1990). Čelní a šroubová soukolí s evolventním ozubením, SNTL—Státní nakladatelství technické literatury. [1st ed.].
11. Moravec, V. (2001). Konstrukce strojů a zařízení II.: Čelní ozubená kola: Teorie, výpočet, konstrukce, výroba, kontrola, Montanex. [1st ed.].
12. A New Model for the Single Mesh Stiffness Calculation of Helical Gears Using the Slicing Principle10.1007/s40997-018-0173-x ↗
13. Gokcek, M. (2012). On the Modelling of Spur and Helical Gear Dynamic Behaviour. Mechanical Engineering, IntechOpen. Chapter 4.10.5772/2397 ↗
14. Dynamic analysis of spur gear with backlash using ADAMS10.1016/j.matpr.2020.09.309 ↗
15. Experimental measurement of spur gear mesh stiffness using digital image correlation technique10.1016/j.measurement.2017.07.034 ↗
16. Raghuwanshi, N.K., and Parey, A. (2019). A New Technique of Gear Mesh Stiffness Measurement Using Experimental Modal Analysis. J. Vib. Acoust., 141.10.1115/1.4042100 ↗
17. Park, J., Ha, J.M., Oh, H., Youn, B.D., Park, S., and Choi, J.H. (2015, January 21–23). Experimental Approach for Estimating Mesh Stiffness in Faulty States of Rotating Gear. Proceedings of the Annual Conference of the PHM Society, Beijing, China.10.36001/phmconf.2015.v7i1.2654 ↗
18. Slavík, J., Stejskal, V., and Zeman, V. (1997). Základy dynamicky strojů, Vydavatelství ČVUT. [1st ed.].