含多状态啮合与时变参量的直齿锥齿轮动态特性

苟向锋,李谷雨,朱凌云

振动与冲击 ›› 2022, Vol. 41 ›› Issue (23) : 86-93.

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PDF(2076 KB)
振动与冲击 ›› 2022, Vol. 41 ›› Issue (23) : 86-93.
论文

含多状态啮合与时变参量的直齿锥齿轮动态特性

  • 苟向锋,李谷雨,朱凌云
作者信息 +

Dynamic characteristics of spur bevel gear transmission system with multi-state meshing and time varying parameters

  • GOU Xiangfeng, LI Guyu, ZHU Lingyun
Author information +
文章历史 +

摘要

为研究直齿锥齿轮传动的动态特性,建立考虑多状态啮合特性的直齿锥齿轮传动系统弯-扭-轴动力学模型。根据锥齿轮啮合原理,用微元法计算系统载荷分配率和时变啮合刚度。以某汽车差速器中直齿锥齿轮参数为例,采用变步长四阶Lunge-Kutta法求解系统非线性动力学方程。定义三种不同Poincaré截面,结合正压力时间历程图、相图、Poincaré映射图、分岔图及最大Lyapunov指数,研究啮合频率与综合传递误差对系统动力学特性的影响。研究结果可为直齿锥齿轮传动系统参数设计及动态特性控制提供理论依据。
关键词:直齿锥齿轮;多状态啮合;时变参量;非线性动力学;微元法

Abstract

In order to study the dynamic characteristics of straight bevel gear transmission system, its bending- torsional-axial dynamics model considered the multi-state meshing characteristics is established. The time-varying load distribution rate and time-varying meshing stiffness of the system are calculated by using the microelement method according to the meshing principle of straight bevel gear. Taking the parameters of straight bevel gear in an automobile differential as an example. Three different Poincaré sections are defined. The effects of meshing frequency and comprehensive transmission error on the dynamic characteristics of the system are studied according to the time history diagram of positive pressure, phase portraits, Poincaré maps, bifurcation diagram and corresponding top Lyapunov exponent (TLE). The results can supply a theoretical basis for the parameter design and control of dynamics characteristic for spur bevel gear transmission system.
Key words: Straight bevel gear; Multi-state meshing; Time-varying parameters; Nonlinear dynamics; Micro element method.

关键词

直齿锥齿轮 / 多状态啮合 / 时变参量 / 非线性动力学 / 微元法

Key words

Straight bevel gear / Multi-state meshing / Time-varying parameters / Nonlinear dynamics / Micro element method.

引用本文

导出引用
苟向锋,李谷雨,朱凌云. 含多状态啮合与时变参量的直齿锥齿轮动态特性[J]. 振动与冲击, 2022, 41(23): 86-93
GOU Xiangfeng, LI Guyu, ZHU Lingyun. Dynamic characteristics of spur bevel gear transmission system with multi-state meshing and time varying parameters[J]. Journal of Vibration and Shock, 2022, 41(23): 86-93

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