自由正交异性矩形厚板的动态稳定  

Dynamic Stability of Free Edge Thick Rectangular Orthotropic Plate

作　　者：王克林[1] 刘俊卿[1] 

机构地区：[1]西安建筑科技大学,陕西西安710055

出　　处：《力学季刊》2002年第2期236-240,共5页Chinese Quarterly of Mechanics

摘　　要：对在一条边上作用着均匀分布的非保守跟随力的四边自由正交异性矩形厚板的动态稳定进行了分析。通过把位移和剪力展成重傅立叶级数解,把微分方程简化成了代数方程。计算表明厚度的微小变化会引起颤振载荷明显的减小。这个明显减小是因为存在剪切变形。The dynamic stability of a free edge thick rectangular orthotropic plate was analyzed. One of the four free edges of plate was subjected to a tangential follower force. By expanding the displacements and shear forces in double Fourier series, the governing partial differential equations were reduced to a series of algebraic equtions. A change in plate thickness reduces the flutter load drastically. The drastic redution comes from the existence of shear deformation.

关 键 词：自由正交异性 矩形厚板 动态稳定 剪切变形 傅立叶级数 颤振荷载 

分 类 号：O343.2[理学—固体力学]