摘要
本文应用奇异性理论讨论了对称铺设正交各向异性层合矩形板的亚谐参数共振问题。主要内容是用Liapunov-Schmidt方法结合Z_2-对称等变的概念,使分叉方程转化为代数方程的研究,同时给出了参数平面上不同参数域中各种可能的分叉曲线。
This paper investigates the subharmonic parametric resonance problems of a symmetric or-thotropic laminated rectangular plate with simply supported edges by the use of the singularity theory. The main work manifests that the study of bifurcation problem can be transformed into an algebraic e-quation with the help of Liapunov-Schmidt reduction combining with the concept of Z2-symmetry. In the paper the transverse sets in parametric plane and bifurcation diagrams are plotted for a number of situations.
出处
《上海力学》
CSCD
1997年第1期1-9,共9页
Chinese Quarterly Mechanics
基金
上海市自然科学基金
关键词
层合板
动态屈曲
参数激励
振动
laminated plate, dynamic buckling, nonlinear parametric excitation, subharmonic parametric resonance.
