刚度
非线性系统
工作(物理)
机械
泊松分布
材料科学
傅里叶级数
泊松比
分叉
材料性能
控制理论(社会学)
结构工程
工程类
物理
数学
计算机科学
数学分析
机械工程
统计
人工智能
复合材料
量子力学
控制(管理)
作者
Zhou Sun,Siyu Chen,Xuan Tao,Zehua Hu
标识
DOI:10.1177/10775463211002616
摘要
Under high-speed and heavy-load conditions, the influence of temperature on the gear system is extremely important. Basically, the current work on the effect of temperature mostly considers the flash temperature or the overall temperature field to cause expansion at the meshing point and then affects nonlinear factors such as time-varying meshing stiffness, which lead to the deterioration of the dynamic transmission. This work considers the effect of temperature on the material’s elastic modulus and Poisson’s ratio and relates the temperature to the time-varying meshing stiffness. The effects of temperature on the elastic modulus and Poisson’s ratio are expressed as functions and brought into the improved energy method stiffness calculation formula. Then, the dynamic characteristics of the gear system are analyzed. With the bifurcation diagram, phase, Poincaré, and fast Fourier transform plots of the gear system, the influence of temperature on the nonlinear dynamics of the gear system is discussed. The numerical analysis results show that as the temperature increases, the dynamic response of the system in the middle-speed region gradually changes from periodic motion to chaos.
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