非惯性参考系中弹性薄板在参数激励与强迫激励联合作用下的1/2亚谐共振分岔分析  

Bifurcation of 1/2 Subharmonic Resonance under Combined Parametric and Forcing Excitation of Thin Elastic Plate in Noninertia System

作　　者：蒋丽忠[1] 赵跃宇[2] 洪嘉振[3] 

机构地区：[1]长沙铁道学院土木建筑工程学院,长沙410075 [2]湖南大学,长沙410082 [3]上海交通大学工程力学系,上海200030

出　　处：《力学季刊》2001年第2期192-197,共6页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(19832040);湖南省自然科学基金

摘　　要：本文研究了非惯性参考系中弹性薄板在大范围运动与变形运动相互耦合时的1/2亚谐共振分岔。在建立了该系统的动力学控制方程的基础上,利用多尺度法得到了参数激励与强迫激励联合作用下非惯性参考系中弹性薄板1/2亚谐共振时的分岔响应方程及其分岔集,讨论了该动力系统的稳定性,给出了它的五种分岔响应曲线。In this paper, the bifurcation of 1/2 subharmonic resonance of thin elastic plate in noninertia system was presented. Based on the established dynamic equations of this system and used the method of multiple siales, the bifurcation equations and sets of 1/2 subharmonic resonance of a simple-supported thin elastic plate in noninertia system under combined parametric and forcing excitation were investigated. Then the stability of this dynamic system was discussed, and five different diagrams of bifurcation response were obtained.

关 键 词：弹性薄板 分岔响应曲线 1/2亚谐共振 参数激励 非惯性参考系 

分 类 号：O343.1[理学—固体力学] TU311.3[理学—力学]