DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT)

TIAN YaPing; ZHANG Feng; YANG JiangHui; KANG JunFeng

doi:10.16579/j.issn.1001.9669.2023.05.002

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DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT)

更新时间：2023-11-16

- DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT)
- Journal of Mechanical Strength Issue 5, Pages: 1024-1029(2023)
- 作者机构：
  
  1. 兰州交通大学机电工程学院
  2. 甘肃财贸职业学院公共基础部
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2023.05.002
  CLC：
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TIAN YaPing, ZHANG Feng, YANG JiangHui, et al. DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT). [J]. Journal of Mechanical Strength (5):1024-1029(2023)
DOI：

TIAN YaPing, ZHANG Feng, YANG JiangHui, et al. DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT). [J]. Journal of Mechanical Strength (5):1024-1029(2023) DOI： 10.16579/j.issn.1001.9669.2023.05.002.

摘要

为了研究含间隙齿轮系统幅值跳跃与齿面冲击的关联关系，用谐波平衡法建立了单级齿轮系统动力学方程组，用Broyden秩2拟牛顿法和拟弧长延续算法求解获得了系统幅频特性的参数界域结构。分析齿侧间隙、静态综合误差、时变啮合刚度、阻尼和频率等参数界域结构中的多值解/齿面冲击特性，探索了参数对系统幅值跳跃、多值解和啮合冲击特性的影响。结果表明，系统的幅值跳跃响应出现在共振频率附近，受齿侧间隙的影响在无间隙的轴承支承处也出现了非线性跳跃；当间隙b>1.55时，间隙对系统多值解/齿面冲击特性不敏感；系统的多值解/齿面冲击特性随时变啮合刚度和静态综合误差的增加而加剧；阻尼能有效抑制系统幅值跳跃和齿面冲击特性，当阻尼ξ>0.3时系统表现出线性特征。

Abstract

To study the association relationship between amplitude jumps and tooth meshing impact in a gear transmission system with backlash, the dynamic equations of amplitude-frequency characteristics of a single gear system are established by the method of harmonic balance. The equation is solved by the quasi-Newton Broyden rank-2 method and pseudo-arc-length continuation algorithm, and then, the two-dimensional domain boundary solution structure of amplitude-frequency characteristics is obtained. The multi-valued solution and tooth surface impact characteristics of the system in the parameter domain boundary structure of the backlash, static comprehensive error, time-varying meshing stiffness, damping, and frequency are analyzed, respectively. The effects of parameters on amplitude jump, multi-value solution, and tooth surface impact characteristics of the system are investigated. The analysis shows that the amplitude jump response of the system appears near the resonance frequency. The nonlinear jump also appears at the non-clearance bearing supports due to the effect of the gear backlash. When b＞1.55, the backlash is not sensitive to the system multi-value solution and tooth surface impact characteristics. The multi-value solution and tooth surface impact characteristics of the system are exacerbated by the increase of the meshing stiffness and the static comprehensive error. Damping can effectively suppress the system amplitude jump and tooth surface impact characteristics, when ξ＞ 0.3, the system shows linear characteristics.

关键词

单级齿轮传动系统双参平面谐波平衡法齿面冲击动态特性

Keywords

Single-stage gear setsTwo-parameter planeHarmonic balance methodTooth surface impactDynamic characteristics

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