Abstract

There is a nonlinear disturbance problem in the operation of large inertia load space-driving mechanism, which seriously affects the normal operation of the system. A 14 degree-of-freedom nonlinear time-varying dynamic model was established for a two-stage spur gear system. The dynamic equations were solved numerically based on the Runge–Kutta method. The correctness of the dynamic model was verified through experiments. In the author’s previous research, the transmission error and dynamic response of gear system was analyzed. After the establishment of the dynamic model, a comparative analysis of the load response under different inertia was performed to illustrate the importance of studying large inertia loads. A large inertia load transmission error experimental device was set up to collect and process the transmission error data under different load inertia and different speeds. Comparing experimental results with numerical results, the correctness of the numerical model was verified, and the reasons for the differences between the two were explained. The analysis of the experimental results shows that for the transmission error of large inertia load gear transmission system, the influence of stiffness excitation on the transmission error amplitude is dominant. For the high-speed gear system, the pitch error plays a dominant role.

Highlights

  • The gearbox transmission system is widely used in the fields of machine tools, aerospace, ships and vehicles, which plays an important part of mechanical transmission

  • This article aims to verify the correctness of the dynamic model and transmission errors (TEs) simulation analysis

  • The results are compared with the Matlab results and the correctness of the numerical model is verified

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Summary

Introduction

The gearbox transmission system is widely used in the fields of machine tools, aerospace, ships and vehicles, which plays an important part of mechanical transmission. With the development of gear transmission reduction mechanism to high precision and large load, the vibration phenomena generated by the gear transmission system under various excitations cannot be ignored. The vibration of most mechanical systems comes from the gear system. The vibration and gear system wear and tear cause the actual trajectory of the gear to deviate from the theoretically calculated value, resulting in transmission errors (TEs), lowering the transmission accuracy, and even causing serious damage to the gear system and other mechanical structures

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