Manufacturing Technology 2024, 24(4):552-566 | DOI: 10.21062/mft.2024.069

Experimental Identification of Gear Mesh Stiffness and Verification by Theoretical Models

Jan Flek ORCID...1, Tomas Karas ORCID...1, Martin Dub ORCID...1, Frantisek Lopot ORCID...1, Vit Ripa ORCID...1, Josef Kolar ORCID...2
1 Department of Designing and Machine Components, Faculty of Mechanical Engineering, Czech Technical University in Prague, Technicka 4, Prague 6, 160 00 Dejvice. Czech Republic
2 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

When analyzing the natural frequencies of a gear mechanism, it's crucial to consider the mesh stiffness, which is influenced by the number of teeth in the mesh. Mesh stiffness behaves as an internal excitation source for the dynamic system, affecting the resulting frequency spectrum. This paper presents an experimental determination of gear mesh stiffness supported by analytical-simulation models of mesh stiffness, outlining common modeling methods and detailing the experimental setup and test specimens. The obtained data are then compared with simulation models of mesh stiffness, discussing the significance of this comparison and emphasizing the role of experimental data in validating and refining existing models of mesh stiffness. The experimental measurement of mesh stiffness described here emerges as a valuable tool for accurately representing mesh stiffness during engagement.

Keywords: Spur Gears, Dynamic excitation, Gear Mesh Stiffness, Experimental identification, Theoretical Models
Grants and funding:

This contribution was funded by Czech Technical University in Prague grant number SGS23/107/OHK2/2T/12

Received: April 7, 2024; Revised: July 12, 2024; Accepted: August 2, 2024; Prepublished online: August 6, 2024; Published: September 1, 2024  Show citation

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Flek J, Karas T, Dub M, Lopot F, Ripa V, Kolar J. Experimental Identification of Gear Mesh Stiffness and Verification by Theoretical Models. Manufacturing Technology. 2024;24(4):552-566. doi: 10.21062/mft.2024.069.
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    References

    1. ZHANG, L., XU, W., ZHI, Y., HOU, N., LI, H., WANG, C., et al.. Optimization of Tooth Profile Modification and Backlash Analysis of Multi-tooth Mesh Cycloid Transmission. Manufacturing Technology. 2024;24(1):154-163. doi: 10.21062/mft.2024.012 Go to original source...
    2. ZHANG, L., ZHENG, T., LI, T., WANG, J., WANG, C., JIANG, Y., et al.. Precision Forming Process Analysis and Forming Process Simulation of Integrated Structural Gear for New Energy Vehicles. Manufacturing Technology. 2023;23(6):958-966. doi: 10.21062/mft.2023.102 Go to original source...
    3. ČERNOHLÁVEK, V., SVOBODA, M., ŠTĚRBA, J., CHALUPA, M., SAPIETA, M.: Analytical and experimental solution of vibrations of a system of bound bodies, In: Manufacturing Technology, Vol. 20, No 6 (2020), pp. 699-707, ISSN: 1213-2489, DOI: 10.21062/mft.2020.116 Go to original source...
    4. ŠMERINGAIOVÁ, A. Elimination of resonant phenomena adverse effect in the process of experimental operation of gears. Manufacturing Technology. 2021;21(6):842-848. doi: 10.21062/mft.2021.087 Go to original source...
    5. VAŠINA, M., HRUŽÍK, L., BUREČEK, A. Study of Factors Affecting Vibration Damping Properties of Multi-layer Composite Structures. Manufacturing Technology. 2020;20(1):104-109. doi: 10.21062/mft.2020.019 Go to original source...
    6. SAINSOT, P., VELEX, P., DUVERGER, O. (2007). Contribution of Gear Body to Tooth Deflections-A New Bidimensional Analytical Formula. Journal of Mechanical Design, volume 126, issue 4, Springer, pp. 748 - 752. Available at: https://doi.org/10.1115/1.1758252 Go to original source...
    7. CHEN, Z., SHAO, Y. (2011). Dynamic simulation of spur gear with tooth root crack propagating alog tooth width and crack depth. Engineering Failure Analysis, volume 18, issue 8, Elsevier, pp. 2149 - 2164. Available at: http://www.sciencedirect.com/science/article/pii/S1350630711001816 Go to original source...
    8. WAN, Z., CAO, H., ZI, Y., HE, W., HE, Z. (2014). An improved time-varying mesh stiffness algorithm and dynamic modeling of gear-rotor system with tooth root crack. Engineering Failure Analysis, volume 42, Elsevier, pp. 157 - 177. Available at: https://www.sciencedirect.com/science/article/abs/pii/S1350630714001125 Go to original source...
    9. SAXENA, A., CHOUKSEY, M., PAREY, A. (2017). Effect of mesh stiffness of healthy and cracked gear tooth on modal and frequency response characteristics of geared rotor systém. Mechanism and Machine Theory, issue 107, Elsevier, pp. 261 - 273. Available at: https://www.sciencedirect.com/science/article/abs/pii/S0094114X16303615 Go to original source...
    10. LI, Z., ZHU, C., LIU, H., GU, Z. (2020). Mesh stiffness and nonlinear dynamic response of a spur gear pair considering tribo-dynamic effect. Mechanism and Machine Theory, issue 153, Elsevier. Available at: https://www.sciencedirect.com/science/article/abs/pii/S0094114X2030210X Go to original source...
    11. FLEK, J., DUB, M., KOLÁŘ, J., LOPOT, F., PETR, K. (2021). Determination of Mesh Stiffness of Gear - Analytical Approach vs. FEM Analysis. Applied Sciences, volume 11, issue 11, MDPI. Available at: https://www.mdpi.com/2076-3417/11/11/4960 Go to original source...
    12. KONG, Y., JIANG, H., DONG, N., SHANG, J., YU, P., LI, J., YU, M. (2023) Analysis of Time-Varying Mesh Stiffness and Dynamic Response of Gear Transmission System with Pitting and Cracking Coupling Faults. Machines. volume 11, issue 4, MDPI. Available at: https://www.mdpi.com/2075-1702/11/4/500 Go to original source...
    13. USER MANUAL KISSSOFT RELEASE 2023 Available at: https://www.kisssoft.com/en/products/technical-description
    14. FENG, M., MA, H., LI, Z., WANG, Q., WEN, B. (2018). An improved analytical method for calculating time-varying mesh stiffness of helical gears. Meccanica, volume 53, issue 4, Springer Available at: https://doi.org/10.1007/s11012-017-0746-6 Go to original source...
    15. ZHAN, J., FARD, M., JAZAR, R. (2017). A CAD-FEM-QSA integration technique for determining the time-varying meshing stiffness of gear pairs. Measurement, volume 100, Elsevier. Available at: https://www.sciencedirect.com/science/article/pii/S0263224116307540 Go to original source...
    16. SÁNCHEZ, M. B., PLEGUEZUELOS, M., PEDRERO, J. I. (2017). Approximate equations for the meshing stiffness and the load sharing ratio of spur gears including hertzian effects. Mechanism and Machine Theory, volume 109, Elsevier, pp. 231 - 249. Available at: https://www.sciencedirect.com/science/article/pii/S0094114X16302877 Go to original source...
    17. RAGHUWANSHI, N. K., PAREY, A. (2015). Mesh stiffness measurement of cracked spur gear by photoelasticity technique. Measurement, volume 73, Elsevier, pp. 439 - 452. Available at: https://doi.org/10.1016/j.measurement.2015.05.035 Go to original source...
    18. RAGHUWANSHI, N. K., PAREY, A. (2017). Experimental measurement of spur gear mesh stiffness using digital image correlation technique. Measurement, volume 111, Elsevier, pp. 93 - 104. Available at: https://doi.org/10.1016/j.measurement.2017.07.034 Go to original source...
    19. RAGHUWANSHI, N. K., PAREY, A. (2018). Experimental measurement of mesh stiffness by laser displacement sensor technique. Measurement, volume 128, Elsevier, pp. 63 - 70. Available at: https://doi.org/10.1016/j.measurement.2018.06.035 Go to original source...
    20. RAGHUWANSHI, N. K., PAREY, A. (2019). A New Technique of Gear Mesh Stiffness Measurement Using Experimental Modal Analysis. Journal of Vibration and Acoustics, volume 141, ASME. Available at: https://doi.org/10.1115/1.4042100 Go to original source...
    21. KARPAT, F., YUCE, C., DOĞAN, O. (2020). Experimental measurement and numerical validation of single tooth stiffness for involute spur gears. Measurement, volume 150, Elsevier, Available at: https://doi.org/10.1016/j.measurement.2019.107043 Go to original source...
    22. KONG, Y., JIANG, H., DONG, N., SHANG, J., YU, P., LI, J., YU, M., CHEN, L. (2023). Analysis of Time-Varying Mesh Stiffness and Dynamic Response of Gear Transmission System with Pitting and Cracking Coupling Faults. Machines, volume 11, issue 500, MDPI, Available at: https://doi.org/10.3390/machines11040500 Go to original source...

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