摘要
运用匹配法和多尺度法对一个两自由度非线性系统进行了研究，详细分析了非线性系统的模态分叉和局部化现象。
A 2 degree of freedom system with cubic nonlinear stiffnesses is investigatedby use of the matching method and the method of multiple scales. The nonlinear modesare obtained according to their defiultion。The bifurcation and localization phenomena ofnonlinear modes in the system are analysed in detail.It is shown that the basic mechanismfor nonlinear mode localization is not nonlinear asvmmetries ais concluded by C。 Pierre et al.,but the properties of nonlinear system,i.e., the dependence of the frequency of oscillationon the amplitude。
出处
《力学学报》
EI
CSCD
北大核心
1995年第5期614-618,共5页
Chinese Journal of Theoretical and Applied Mechanics
关键词
非线性模态
分叉
局部化
非线性振动
nonlinear modes, mode bifurcation, mode localization,matching method,method of multiple scales
