一种基于面-面局部搜索的接触算法  

A contact-impact algorithm based on the segment-to-segment local searching method

作　　者：陈成军[1] 柳明[1] 陈小伟[1] 肖桂仲 

机构地区：[1]中国工程物理研究院总体工程研究所,绵阳621999 [2]中国工程物理研究院高性能数值模拟软件中心,北京100083

出　　处：《计算力学学报》2018年第1期105-110,共6页Chinese Journal of Computational Mechanics

基　　金：科学挑战计划(JCKY2016212A502);国防基础科研计划(C1520110002);科技部高性能计算重大专项(2016YFB0201004)资助项目

摘　　要：接触-碰撞算法是影响动态接触问题数值分析精度的重要因素,发展健壮、精确的局部搜索算法对提高数值模拟精度具有重要意义。为解决点-面接触搜索算法存在的盲区问题,提出了一种基于面-面的局部搜索算法,并发展了相应的接触力计算方法。新的接触算法以面心坐标与特征长度表征接触片,进行预搜索快速排除不会发生接触的潜在接触对;利用主从接触片的投影与侵入深度关系确定接触片间的接触状态;利用等参逆变换解析给出接触点,避免了方程组的迭代求解。典型算例与工程实例计算表明,本文算法消除了接触搜索的盲区,具有很好的健壮性与计算精度。Contact-Impact algorithm is key factor that affect the accuracy of numerical simulation for dynamic contact problem. So it is of great significance to develop robust and accurate local searching algorithms. To overcome the blind zone existing in common search algorithm,a new segment-to-segment based local searching method is proposed,and the corresponding contact force evaluating method is developed in this paper. In the new method,centroid and characteristic length of the relevant contact-segment are used to represent the corresponding true geometry,and pre-searching algorithm is introduced to fast eliminate the potential contact-pairs that will not contact obviously. In the detail contact detection phase,the contact state is determined by using the projection and penetration relations between master and slave segments. And an efficient inverse iso-parametric mapping method is adopted to evaluate the contact point to avoid iteration when seeking solutions of the equation set. Several typical examples are used to test the performance of the new method. The results show that the new contact searching algorithm has good robustness and computation accuracy,and the blind zone problem is resolved.

关 键 词：接触-碰撞 局部搜索 有限元 panda一impact 

分 类 号：O343.3[理学—固体力学]