阶梯式矩形板的振动  

Vibrations of Rectangular Stepped Plates

作　　者：张英世[1] 蒋持平[1] 

机构地区：[1]北京航空航天大学

出　　处：《应用力学学报》1998年第4期109-115,共7页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金

摘　　要：用奇异函数建立阶梯式矩形板自由振动和强迫振动的微分方程并求得其通解，用Ｗ算子给出振型函数的表达式及常见支承条件下板的频率方程，本文解可用于多种边界条件的板。Differential equations of free/forced vibrations of rectangular stepped plates are established by using singular functions, their general solutions are solved for expression of vibration mode function and frequency equations on usual supports derived with W operator. Conclusions of this paper may be suited for plates with different boundary conditions.

关 键 词：阶梯式矩形板 自由振动 频率方程 强迫振动响应 

分 类 号：O343.1[理学—固体力学]