计算力学学报Issue(3)：411-417,7.DOI:10.7511/jslx201503018
按位移求解弹性力学平面问题的解析构造解研究
Study on analytic construction solutions about solving elasticity plane problems by displacement method
摘要
Abstract
As to solving partial differential equations about elasticity plane problems by displacement method,a multi-exponential function method is introduced.Analytical displacement function expression with the exponential function,trigonometric and linear function and unknown parameters is proposed. Displacement function analytic expression with symmetric displacement boundary is derivated.Nonlinear algebraic equations between arbitrary boundary conditions and unknown parameters is established and number relation is decided.Precision determining method about displacement analytic function is built. Practical example with symmetrical displacement is analyzed.The result canbe used to solve theoretical and practical problem.关键词
弹性力学平面问题/位移法/解析构造解/未知参量/边界条件Key words
plane problems about elasticity/displacement method/analytical solution/unknown parame-ters/boundary condition分类
数理科学引用本文复制引用
侯祥林,李琦,郑夕健..按位移求解弹性力学平面问题的解析构造解研究[J].计算力学学报,2015,(3):411-417,7.基金项目
辽宁省自然科学基金(201102181)资助项目 （201102181）
