三圆盘扭振系统主共振的理论与实验研究  

A Theoretical and Experimental Investigation of a Primary Resonance of a Three Circular Plates Torsion Vibration SystemGH

作　　者：杨志安[1,2] 邱家俊[1,2] 李骊 

机构地区：[1]天津大学力学与工程测试系 [2]北京工业大学基础科学系

出　　处：《应用数学和力学》1998年第6期505-511,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金

摘　　要：本文应用非线性振动的平均法，分析了一个具有立方非线性并受简谐激励作用的三圆盘扭振系统的第二阶主共振，求得了稳态响应的分岔方程，并进行了奇异性分析，理论结果与实验结果相符·he method of averaging is applied in this paper to deal with a primary resonance of a three circular plates torsion vibration system having cubic nonlinearities which is excited by a simple_harmonic excitation. Bifurcation equation of the steady state response is obtained and its singularity analysis is given. The results of theoretical analysis are shown to be in good agreement with experimental ones.

关 键 词：三圆盘扭振系统 平均法 主共振 扭振 力学模型 

分 类 号：O325[理学—一般力学与力学基础]