摘要
从三维弹性力学的基本方程出发,抛弃任何有关应力或位移模式的人为假定,导出弹性地基板的状态方程,将地基反力直接作为状态变量引入到状态方程解析式中,使得状态变量求解极为方便.文中给出了薄的、中等厚的以及强厚度的地基板的精确解。此解满足所有弹性力学方程,并能求出地基反力.数值结果和 SAP5有限元解进行了对比.
On the basis of three-dimensional elasticity,and without any assumptions about displacement models,and stress distribution,the state equation of elastic plate on foundation is es- tablished.With the foundation reaction as state variable in the analytical formulate of state equa- tion,it is extremely convenient to solve the state variable.The exact solutions are presented for the thin,moderately thick and thick founation plates.Every equation of the elasticity can he sat- isfied,and the foundation reaction can be obtained.Numerical results are compared with those calculated by SAP5.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
1997年第1期61-67,共7页
Journal of Hefei University of Technology：Natural Science
基金
安徽省教育委员会自然科学基金资助
关键词
地基厚板
状态方程
精确解
G-H定理
thick foundation plate
state equation
Cayley-Harnilton theorem
exact solution
