一种基于无梯度思想的弹性接触问题优化方法  

A gradient-less based optimization method of elastic contact problems

作　　者：田帅[1] 吴志学[1] 

机构地区：[1]扬州大学机械工程学院,扬州225009

出　　处：《应用力学学报》2013年第1期104-108,151,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(51075354)

摘　　要：基于无梯度思想,针对弹性接触问题中存在的应力集中问题提出了一种形状优化方法。研究发现:通过改变接触面和非接触面形状的方法,均能够有效地减轻弹性接触面上的接触应力集中。结合ABAQUS有限元分析软件,直接变动有限元模型中的接触面或非接触面单元节点的位置,进而改变优化边界的形状,最终达到减小接触面上应力集中的目的。通过两个优化算例分别展示了所提出的方法在处理二维和三维弹性接触问题中的可行性。算例结果表明:优化后,接触应力值分布在一个预定的区间内,接触面上的集中应力得到了显著的优化。本方法为处理工程接触优化问题提供了新的思路。A gradient-less method for contact shape optimization,which focus on solving elastic contact problems of stress concentration,is proposed based on gradient-less idea.It is found that changing the contact surface shape or non-contact surface shape can both effectively reduce the contact stress concentration on the elastic contact surface.All the iteration procedure is carried out by the ABAQUS finite element software.To change the position of nodes,attach to the contact boundary or non-contact boundary,which will change boundary shape and ultimately minimize concentration stress on contact surfaces.Two optimization examples show the effectiveness of the proposed method in dealing with two-dimensional and three-dimensional elastic contact problems.The result show that the contact stress values distribute at a predetermined interval and contact concentration stress are significantly optimized.The method provides a new way for solving practical engineering contact optimization problems.

关 键 词：无梯度 弹性接触 应力集中 优化准则 有限元 

分 类 号：O343.7[理学—固体力学]