摘要
利用ＶｏｎＫａｒｍａｎ薄板大挠度理论和ＨａｈｎＴｓａｉ本构方程研究了四边简支、一对边受压缩动载荷的（０／９０）ｓ对称铺设正交各向异性矩形层合板的参数振动问题．利用奇异性理论讨论了１／２亚谐共振时板的各种可能的分叉行为，结果表明１／２亚谐共振的参数响应曲线共有１０种可能的形式，并可以通过控制面内非线性剪切系数来避免１／２亚谐共振．这些分叉曲线的特性提供了复合材料层合板参数激励这类非线性问题的基本分析结果．
The parametric vibrat ion problems of a simply supported orthotropic and symmetrically lami nated rectangular plate(0/90) s ar e investigated by the use of the V on Karmanian theory of plates and the constitutive equations advance d by Hahn Tsai. With the help of s ingularity theories, all possible bifurcations of 1/2 subharmonic pa rametric resonance are discussed. The influence of in plane shear no nlinearity to the parametric reson ance and bifurcation diagrams is s tudied. Some new results are obtai ned.
出处
《固体力学学报》
CAS
CSCD
北大核心
1999年第2期135-142,共8页
Chinese Journal of Solid Mechanics
基金
江苏省自然科学基金
关键词
参数振动
面内剪切非线性
大挠度理论
复合材料
laminated plat es, parametric resonance, in plane shear nonlinearity, large deflecti on theory
