摘要
对条形传递函数方法进行了改进 ,提出了映射条形传递函数方法 ,用于处理非正规形状区域的平面问题。在本文方法中 ,一个非正规区域被映射成为若干矩形子区域的组合 ,在这些矩形子区域内划分条形单元 ,进而建立起位移离散模型。利用变分关系对模型处理 ,可以得到问题的动态控制方程。应用改进后得到的数值传递函数方法对方程求解 ,就可以得到系统的动力、静力响应。文后应用上述方法建立了应用模型并给出了数值算例 ,结果表明本方法继承了原方法精度高、处理规范、便于求解动态问题等优点 。
In this paper, a mapping SDTFM (Strip Distributed Transfer Function Method) is developed for analysis of irregular plane based on a modification of SDTFM. In the analysis, an irregular plane is mapped into rectangular subregions, where strip elements are divided. Discrete displacement model is built on the strip elements. Then the dynamic equilibrium equations are derived by variational principle. The equations are solved by the numerical SDTFM, and the static and dynamic responds of the plane are given. At last, computation model is presented, and the results are compared with FEM, which show that this method has the advantage of high precision, unified solution procedure and is easy for dynamic and static analysis of 2-D elasticity problems in regions such as ellipse, quadrilateral.
出处
《计算力学学报》
CAS
CSCD
北大核心
2001年第4期463-468,共6页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金资助项目 ( 1 95 72 0 2 7)
国家杰出青年科学基金 ( 1 992 5 2 0 9)资助项目
