摘要
在考虑齿轮时变啮合刚度、阻尼、啮合误差及齿侧间隙的情况下,建立了具有5自由度的二级齿轮传动系统的动力学模型。为了便于用AOM法求解,用多项式拟合齿侧间隙,而将啮合刚度、啮合误差、输入转矩波动及输出转矩波动用Fourier级数表示。利用Adomian分解算法的思想,用AOM法得到了齿轮系统的近似解析解。根据计算结果,AOM法克服了谐波平衡法的滤波缺陷,能够保留所有的频率成分,其中包含有基频、倍频及组合频率等成分,因此,可以方便、可靠地用AOM法研究齿轮系统的动力学问题。
Considering the time-varying meshing stiffness, damping, teeth errors and backlash of the gear pairs, the dynamic governing equations of a two-staged gear system with 5 degree of freedom are established. In the equations, in order to apply the A-operator method (AOM), the backlash of the gearpair is expressed into multinomial, and the meshing stiffness, teeth errors of the gear pair, input and output torque fluctuation are expand into Fourier series. By adopting the thought of Adomian's decomposition method, the A-operator method (AOM) is used to obtain the response of the gear system with approximate analytic form. According to the simulation results, AOM can overcome the filtering faults of harmonic balance method, and its results can contain all frequency components. There exist fundamental, double and combined frequencycomponents in the response of the gear system. Therefore, AOM can be used to research the dynamic characteristics of the gear system conveniently and reliably.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2004年第12期20-24,30,共6页
Journal of Mechanical Engineering
基金
国家自然科学基金(50075070)上海市高等学校科学技术发展基金(040B03)资助项目。
关键词
A-算符方法
齿轮系统
非线性
多频响应
<Keyword>A-operator method (AOM) Gear system Nonlinear Multi-frequency response