基于平均法的单自由度非线性系统幅频分析  

BASED ON AVERAGING METHOD ANALYSIS OF THE SINGLE DEGREE OF FREEDOM AMPLITUDE FREQUENCY

作　　者：王树国[1] 郭丽峰[1] 廖鹏泰 张艳波[1] WANG ShuGuo;GUO LiFeng;LIAO PengTai;ZHANG YanBo(College of information Engineering,Tarim University Alaer 843300,China)

机构地区：[1]塔里木大学信息工程学院,阿拉尔843300

出　　处：《机械强度》2019年第2期303-308,共6页Journal of Mechanical Strength

摘　　要：利用改进的平均法对振动微分方程进行了近似求解,得到了幅频响应方程,运用约束分岔理论对非线性系统进行了分析,计算了转迁集,得到了系统在阻尼比与激励振幅平面内不同区域的幅频曲线图,并对其特性进行了分析;其次,对幅频响应方程进行了局部线性化,应用线性系统理论得到了系统的稳定区域;最后分析了不同参数对系统的隔振效果,得到了阻尼比的增加会减弱系统的振动,加强隔振效果。Improved averaging method was used to receive the vibration differential equation of the approximate solution, and the amplitude frequency response equation was obtained. By employing an averaging method, the transition boundary was calculated. The types of the amplitude-frequency responses were analyzed;secondly, the functions were also used for stability analysis by the linear system theory. Finally, the vibration isolation effect of different parameters on the system are analyzed. Increasing damping ratio weakened the vibration of the system, and strengthened the effect of vibration isolation.

关 键 词：平均法 非线性 幅频 稳定性 

分 类 号：TH113[机械工程—机械设计及理论]