文克尔地基上中面x方向受力的矩形薄板的振动  

Vibration of thin Rectangular Plates on Winkler's FoundationSubject to X Direction in Plane Forces

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：《水利学报》1999年第7期7-11,共5页Journal of Hydraulic Engineering

摘　　要：建立文克尔地基上ｘ＝０与ｘ＝ａ两对边受面内均布拉（压）力作用的矩形薄板自由振动和强迫振动的微分方程并求得其通解．给出振型函数的表达式，用广义函数的富里叶展开，讨论板在不同形式载荷作用下的强迫振动响应．文中导出的各种情况下的影响函数，亦可用于求解相应情况下矩形薄板的静力弯曲与稳定性问题．Differential equations for vibrations of simply supported thin rectangular plates on Winkler's foundation subjected to in plane forces,are established.The general soluations are derived nd the expression of vibration mode functionis deduced.Forced responses of such plates under different loads are discussed with Fourier expansion of generalized functions.Influence functions for various cases derived in this paper may be used to solve the problems of static buckling and stability of these thin rectangular plates under the same conditions.

关 键 词：文克尔地基 矩形薄板 自由振动 强迫振动响应 

分 类 号：TU435[建筑科学—岩土工程] O326[建筑科学—土工工程]