文克尔地基上阶梯式矩形薄板的振动  

Vibrations of Stepped Rectangular Thin Plates on Winkler's Foundation

作　　者：张英世[1] 

机构地区：[1]北京航空航天大学飞行器设计与应用力学系508教研室

出　　处：《应用数学和力学》1999年第5期535-544,共10页Applied Mathematics and Mechanics

摘　　要：用奇异函数建立文克尔地基上阶梯式矩形薄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，用广义函数的富里叶展开。Differential equations of free/forced vibrations of stepped rectangular thin plates on Winkler's foundation are established by using singular functions, and their general solutions are also solved for expression of vibration mode function and frequency equations on usual supports derived with W operator, as well as forced responses of such plates under different_type loads discussed with Fourier expansion of generalized functions.

关 键 词：文克尔地基 阶梯式矩形薄板 自由振动 强迫振动响应 

分 类 号：TU471.2[建筑科学—结构工程] O326[建筑科学—土工工程]