摘要
本文将材料、载荷、结构几何形状、力和位移边界条件的随机性，直接引入有限变形弹性理论的泛函变分表达式中，应用小参数摄动法，建立了统一的随机变量变分原理及非线性随机有限元法，并将其应用于结构可靠性分析。算例表明，应用此方法处理随机变量的力学问题，具有使程序实施简便，计算效率高等优点。
In the present paper,we have introduced the random materials, loads, geometrical shapes,force and displacement boundary condition directly int the functional variational formula,by use of a small parameter perturbation me-thod,a unified random variational principle in finite deformation of elasticity and nonlinear random finite element method are established,and used for relia- bility analysis of structures. Numerical examples showed that the methods have the advantages of simple and convenient program implementation and are effec-tive for the probabilistic problems in mechanics。
出处
《应用数学和力学》
CSCD
北大核心
1994年第10期855-862,共8页
Applied Mathematics and Mechanics
关键词
有限
变形
随机变量
变分原理
弹性理论
finite deformation,variational principle,finite element method, structural reliability analysis
