摘要
讨论非惯性参考系中弹性薄板动力系统１∶１内共振时的全局分岔及其混沌性质．首先对系统的奇点进行了分析，进而得到了奇点附近同宿轨的参数方程，再用Ｍｅｌｎｉｋｏｖ方法研究了系统的同宿轨分岔及其混沌运动．研究表明，对各种不同共振情形，系统将由同宿轨分岔过渡到混沌运动．最后用数值仿真证实了理论分析的结果．
The paper studies the global bifurcation and chaotic behavior of the coupled longitudinal and transverse vibrations of a thin elastic plate in large overall motions. Firstly, the parametric equations of the homoclinic orbits of such system are obtained. Then, using Melnikov method and digital simulation, the behaviors of bifurcation and chaos of this vibration system are investigated in the case of different resonances. Obvious difference is found between the transverse vibration and the coupled transverse and longitudinal vibration.
出处
《固体力学学报》
CAS
CSCD
北大核心
1998年第2期120-126,共7页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金
关键词
非惯性参考系
弹性薄板
内共振
分岔
混沌运动
noninertia, thin elastic plates, internal resonance, bifurcation and chaos, digital simulation
