应用一般解析解求解混合边界条件正交异性矩形板的振动问题  

APPLICATION OF GENERAL ANALYTICAL SOLUTION TO VIBRATION OF ORTHOTROPIC RECTANGULAR PLATES WITH MIXED BOUNDARY CONDITIONS

作　　者：杨端生[1] 黄炎[2] 廖一寰[2] 

机构地区：[1]长沙理工大学土木与建筑学院,长沙410076 [2]国防科技大学航天与材料工程学院,长沙410073

出　　处：《机械强度》2010年第5期839-843,共5页Journal of Mechanical Strength

基　　金：国家自然科学基金资助项目(19872072)~~

摘　　要：应用一般解析解求解混合边界条件矩形板的振动问题。一般解析解是一种能用于求解板各个边和各个角为任意边界条件的振动问题。首先将板分成若干部分,使每一部分仅为均匀的边界,每一部分的若干边为独立的可用边界条件确定。同时另外的若干边为与另一部分的边相连,则由连续性条件确定。由板的全部边界条件和连续性条件建立的方程式即可用于求解自然频率和振型。以板边一部分为简支,另一部分为平夹或自由为例进行计算,并与其他文献进行比较。The general analytical solution may be sued to solve the vibration problem of rectangular plates with mixed boundary conditions.A general analytical solution is a solution which can be used to solve the vibration problems of plates with arbitrary boundary conditions of all edges and all corners.Firstly,divide the plate into several parts to make each part with uniform edges.For each part some edges which are independent can be determined by boundary conditions.While some edges which are connected with other...

关 键 词：正交异性矩形板 混合边界条件 振型 自然频率 一般解析解 

分 类 号：O326[理学—一般力学与力学基础]