弹性地基上各向异性厚板计算新方法

弹性地基上厚板的弯曲,一直是学者和工程师们十分关切的问题.本文采用分步分析方法,分析了弹性地基上的各向异性厚板和板式筏片基础,使在不需增加基本未知函数个数的情况下就可建立含有横向坐标Z的任意高次项的高阶方程,与现有厚板理论相比,本文所述方法具有基本未知函数少、基本方程易于建立、简单易解、计算结果精度较高等优点.

A NEW METHOD FOR ANALYSIS OF ANISOTROPIC THICK PLATE ON ELASTIC FOUNDATION

The bending analysis of thick plate on elastic foundation is a problem which interests scholars and engineers ail the time. In this paper, the anisotropic thick plate on Winkler foundation and plate raff foundation are analyzed by using the step analytic method. By this method, the higher order equations including any higher order terms of the transverse coordinate can be established without increasing the number of the primary unknown functions.Compare with the thick plate theory available, the presented method possesses some advantages such as fewer unknown functions, the easiness of establishing the basic equations and calculation,and the higher precisionof the solution