基于接触面几何的接触问题解法  

SOLUTION FOR CONTACT PROBLEM BASED ON CONTACT SURFACE GEOMETRY

作　　者：徐延海[1] 贾丽萍[1] 张建武[1] 

机构地区：[1]上海交通大学机械工程学院,上海200030

出　　处：《机械工程学报》2002年第10期131-134,共4页Journal of Mechanical Engineering

摘　　要：给出了一种基于接触面几何的接触问题解法。该方法将变形体与变形体或刚体之间的接触面利用离散的解析曲面来描述。利用曲面的几何特性来给定接触体间的约束条件,并将之直接引入求解方程来求解接触问题。与传统的拉格朗日乘子法及罚函数法相比,该解法没有增加接触问题的自由度数目,且避免了应用罚函数法时的罚数的选择问题。算例表明,该方法准确有效。A solution for contact problem based on contact surface geometry is presented. The method uses discrete analytical surfaces to represent the surfaces between deformable and rigid bodies. The contact constraints are employed with consideration of geometry characteristics of the discrete analytical surfaces. Then, the constraints are introduced into the general governing equations to solve the contact problem directly. The present method does not increase the DOFs of the contact problem but avoids the selection of Penalty numbers in Penalty function method comparision with traditional Lagrange multiplier and Penalty function method. It is illustrated through numerical example that, the present work are proven to be valid and effecient.

关 键 词：接触问题 解析曲面 接触约束 

分 类 号：O343.3[理学—固体力学]