结构密集模态二分之一阶亚谐共振与线性模型失效问题研究  

STUDY ON THE RELATIONSHIP BETWEEN 1/2 SUBHAMONIC RESONANCE IN STRUCTURES WITH CLOSELY SPACED NATURAL FREQUENCIES AND FAILURE OF LINEAR MODEL

作　　者：白鸿柏[1] 张培林[1] 陈振藩[2] 

机构地区：[1]军械工程学院兵器工程系,石家庄050003 [2]南京航空航天大学,南京210016

出　　处：《振动与冲击》2000年第2期34-36,19,共4页Journal of Vibration and Shock

基　　金：国家自然科学基金! ( 1 93 72 0 2 4 );航空基金! ( 94B52 0 1 0 )

摘　　要：通过对一个两自由度密频近线性系统 1/ 2阶亚谐共振响应分析 ,研究了密集模态间弱非线性耦合作用在副共振中的表现形式 ,如典型的Hopf分叉导致的概周期响应等 ,着重考察了线性模型失效途径。In the paper,by analyzing 1/2 subharmonic resonance of a two_degree_of_freedom nearly linear system with closely spaced natural frequencies,the point at that typical nonlinear kinetic phenomena such as almost periodic response due to Hopf bifurcation would happen when IRCF(internal resonance due to closely spaced natural frequencies)exists is put forward.In that case,instead of the linear model a nonlinear one should be adopted.The relationship between the failure of linear model and the excitation level and initial conditions is also discussed.

关 键 词：非线性振动 1/2阶亚谐共振 线性模型失效 

分 类 号：O322[理学—一般力学与力学基础] O328[理学—力学]