Nonlinear dynamics of gear systems under multi-frequency excitations

Date

2025-1

Author

Çeliksöz, Dersu

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In this thesis, the nonlinear dynamic behavior of multi-stage gear systems under multi-frequency excitations is examined. The study begins by identifying the problem and highlighting the challenges caused by discontinuous nonlinear vibrations and the computational difficulties introduced by multi-frequency excitations. To obtain dynamic response while addressing these challenges, the harmonic balance method is employed in the hypertime domain and adapted to handle discontinuous nonlinearities in the presence of multi-frequency excitations. Furthermore, an adaptive harmonic balance technique is implemented to handle the computational challenges associated with multi-frequency responses. This approach is applied to a two-stage gearbox model experiencing dual frequency excitations with non-integer gear ratios. Following the time-domain verification and adaptivity assessment, insights are gained into the impact of varying gear parameters, including gear ratios, phase angles and multiple excitation frequencies on the parametric response through a series of case studies. The findings highlight the importance of understanding local harmonic responses under multi-frequency excitations and their influence on the overall dynamic behavior that provides valuable insights into the design, analysis, and maintenance of gear systems and complex rotating machinery.

Subject Keywords

Gear dynamics, Multi-frequency excitations, Nonlinear vibrations, Adaptive harmonic balance method

URI

https://hdl.handle.net/11511/113381

Collections

Graduate School of Natural and Applied Sciences, Thesis