Abstract

The current research on gear system dynamics mainly utilizes linear spring damping model to calculate the contact force between gears. However, this linear model cannot correctly describe the energy transfer process of collision that often occurs in gear system. Focus on the contact-impact events, this paper proposes an improved gear contact force model for dynamic analysis in helical gear transmission system. In this model, a new factor associated with hysteresis damping is developed for contact-impact state, whereas the traditional linear damping factor is utilized for normal meshing state. For determining the selection strategy of these two damping factors, the fundamental contact mechanics of contact-impact event affected by supporting forces are analyzed. During this analysis, an effect factor is proposed for evaluating the influence of supporting forces on collision. Meanwhile, a new restitution of coefficient is deduced for calculating hysteresis damping factor, which suitable for both separation and non-separation states at the end of collision. In addition, the time-varying meshing stiffness (TVMS) is obtained based on the potential energy approach and the slice theory. Finally, a dynamic analysis of a helical gear system is carried out to better understand the contact force model proposed in this paper. The analysis results show that the contribution of supporting forces to the dynamic response of contact-impact event within gear pair is important. The supporting forces and dissipative energy are the main reasons for gear system to enter a steady contact state from repeated contact-impact state. This research proposes an improved contact force model which distinguishes meshing and collision states in gear system.

Highlights

  • The contact force model plays a key role in predicting the response of multibody mechanical system since it has a significant influence on the response of the system [1]

  • 5 Conclusions In this paper, the issue of contact force model considering the normal meshing and contact-impact states was analyzed for helical gear system

  • The time-varying meshing stiffness and the meshing damping were discussed for the normal meshing state, and the collision evolution associated with fundamental contact mechanics was investigated

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Summary

Introduction

The contact force model plays a key role in predicting the response of multibody mechanical system since it has a significant influence on the response of the system [1]. A nonlinear impact damping model [12] is employed for collision analysis, which is proposed according to restitution coefficient to describe the dissipated energy during contact-impact event. The accumulation of these errors of repeated or sustained contact-impact event which frequently take place in gear system can cause the distortion simulation in gear dynamics These nonlinear models cannot be used to correctly calculate the energy loss during normal meshing process since they are only suitable for one single collision. The purpose of this paper is to propose an improved contact force model for dynamic analysis of helical gear transmission system In this model, different contact force models are applied in conjunction with TVMS to calculate the meshing and contact-impact forces, respectively.

Stiffness and Damping with
Impact Damping Model Considering Supporting Forces
Conclusions
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