弹性地基上自由边矩形板弯曲、振动问题的简便解  

A Simple Solution of Bending and Vibrations of Rectangular Plates with Four Free Edges on Elastic Foundations

作　　者：郑翔[1] 

机构地区：[1]扬州工学院基础科学系

出　　处：《扬州工学院学报》1997年第2期24-29,共6页

摘　　要：选择一个全部满足自由边界条件和自由角点条件的挠曲函数。利用能量法求得了弹性地基上自由边矩形板在对称、非对称载荷下弯曲挠度的简便解,通过对称载荷下的数值算例,验证了解的可靠性。同时给出了求解板自振频率的一般式。对工程应用有一定的实用价值。This paper selects a flexual function satisfing all the boundary conditions of free edges and the conditions at four free corner points, and by using energy method, obtains a simple solution of bending of rectangular plates with four free edges on elastic foundations with symmetrical and unsymmetrical load. The results of numerical example verifies the reliability. A general formula of the natural frequency of the plate vibration is given. These solutions are of practical importance for engineering application.

关 键 词：弹性地基 自由边矩形板 弯曲 振动 

分 类 号：TU471.2[建筑科学—结构工程]