一类针对高阶单元接触搜索算法——系统搜索算法  

A New Kind of Contact Searching Algorithm of Higher Order Finite Element Based on Constrained Nonlinear Optimization Techniques

作　　者：李南生[1] 沙德松[1] 孙焕纯[1] 

机构地区：[1]大连理工大学,大连116023

出　　处：《应用力学学报》1999年第3期104-108,共5页Chinese Journal of Applied Mechanics

摘　　要：提出一类基于非线性约束优化理论的高阶单元接触点副搜索算法。通用的一些接触搜索算法一般针对低阶单元，它们具有较高的计算效率，但不适应于高阶单元。随着工程中对计算精度要求不断提高，高阶单元逐步被引入到接触问题计算程序中。因此，给出针对高阶单元而又具有与现有的低阶单元算法相比拟计算效率的接触搜索算法具有现实意义，本文采用系统搜索方法和非线性约束优化理论，建立一种高阶单元接触点副搜索算法。计算表明，本算法具有较高的计算效率和良好的数值精度。Several conventional contact searching algorithms, with the advantage of excellent computational efficiency, are usually refer to lower order finite element. But which are not suitable for the contact problems in which higher order finite element is adopted. It has an urgent need in engineering that developes a kind of contact searching algorithm which can deal with the contact problems of higher order FE and its computational efficiency has equal level to conventional contact searching algorithms. On the basis of the Systematic Search Method and nonlinear constrained optimization theory, this paper developes a new kind of contact searching algorithm of higher order finite element. A variety of examples show that the contact searching algorithm has better computatinal efficiency and higher precision.

关 键 词：接触点副 高阶 有限元 系统搜索算法 

分 类 号：TB115[理学—数学] O343.3[理学—应用数学]