用 IHBT 法进行非线性振动方程的参数研究  

Parametric Studies of Nonlinear Vibration Equations by IHBT Method

作　　者：詹胜[1] 刘世龄[2] YuenSW 

机构地区：[1]广州中山大学应用力学与工程系 [2]香港理工大学土木结构工程系

出　　处：《振动工程学报》1997年第3期321-328,共8页Journal of Vibration Engineering

摘　　要：用ＩＨＢＴ法研究了耦合ＶａｎｄｅｒＰｏｌ振子和Ｌｉéｎａｒｄ微分方程的参数，取得了很好的结果，包括解图、分叉点、时程曲线及极限环等。The parametric studies of coupled Van der Pol oscillators and Liénard differential equations are carried out by using IHBT method.The good results are obtained,including solution diagrams,bifurcations,time histories and limit cycles.It can be seen that these studies are important to have an over view of solutions.The values of parameter are related to bifurcation,nonlinearity and number of solutions.Since IHBT method can solve the very strongly nonlinear vibration problems which are difficult for conventional approximate methods,such as coupled Van der Pol oscillators when ε=±10,Van der Pol oscillator when ε=100,and Liénard equations when λ=1.106910 etc.Therefore,parameters can be scanned in a large range by using IHBT method.

关 键 词：非线性振动 IHBT法 参数研究 振子 L微分方程 

分 类 号：O322[理学—一般力学与力学基础]