矩形悬臂板自由振动精确解法  

ACCURATE FREE VIBRATION SOLUTION OF THE RECTANGALAR PLATE WITH ONE EDGE CLAMPED

作　　者：许琪楼[1] 

机构地区：[1]郑州大学土木建筑工程学院,郑州450002

出　　处：《振动与冲击》2001年第4期52-56,共5页Journal of Vibration and Shock

基　　金：河南省教委自然科学基金资助项目 (2 0 0 0 4 30 0 9)

摘　　要：本文提出矩形薄板振动主振方向的概念。根据振形正交性的思想 ,在主振方向上矩形板振动波形是唯一的 ,由此建立了符合矩形悬臂板边界条件所激发出的振动曲线形态的振形函数表达式 ,并推导出矩形板的频率方程及相应的振形曲线。计算表明 。The idea of the main vibration direction of the rectangular plate is put forward in the paper.The vibration wave number of the plate is unique in the main vibration direction according to the vibration mode orthogonality.The expressions of vibration mode curve of the rectangular plate with one edge clamped are established by the method proposed and the free vibration frequency equations and corresponding vibration mode curves of the plate are deduced.Calculation indicates the result of the method accords with the real vibration of a plate.

关 键 词：弹性薄板 自由振动 矩形悬臂板 主振方向 振动波形 振形函数表达式 

分 类 号：O327[理学—一般力学与力学基础]