求高维非线性振动系统稳定周期轨道改进的打靶法与应用研究  

Improved Shooting Method for Determining the Periodic Orbit of High-dimensional Nonlinear Vibration Systems and its Application

作　　者：刘宏[1] 王三民[1] 

机构地区：[1]西北工业大学机电学院,西安710072

出　　处：《机械科学与技术》2010年第10期1393-1396,1400,共5页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家863计划项目(2009AA04Z404)资助

摘　　要：针对高维非线性振动系统,将某自由度上的响应周期作为一个参数,一起参与迭代计算,构建了改进的打靶法,获得了嵌套于高维系统流形中的稳定周期轨道。针对弹性支承下弧齿锥齿轮系统的高维非线性特点,采用笔者建立的改进打靶法,依据弧齿锥齿轮系统振动控制的要求,选择动态传递误差λ为控制目标,直接捕获了振动控制中的稳定周期目标轨道。For a high-dimensional nonlinear vibration system,the period of one free degree is used as a parameter,and it takes part in the iteration procedure of the shooting method.The improved shooting method was constructed and a stable periodic orbit nested in a high-dimensional system on manifold was obtained in the solving process of the improved shooting method.Based on the nonlinear characteristics of the spiral bevel gear system with elastic support,the improved shooting method was used,and the transmission error was chosen according to the vibration control requirements as the control objective,and the periodic objective orbit in vibration control was obtained.It provides a method for nonlinear vibration control.

关 键 词：非线性动力学 改进打靶法 弧齿锥齿轮 

分 类 号：TH132.3[机械工程—机械制造及自动化]