基于双三次曲面片的三维接触面光滑方法  

A 3D CONTACT SMOOTHING METHOD BASED ON BI-CUBIC PARAMETRIC PATCHES

作　　者：姜玉曦[1] 周海兵[1] 熊俊[1] 刘文韬[1] 

机构地区：[1]北京应用物理与计算数学研究所,北京100094

出　　处：《工程力学》2016年第2期11-17,共7页Engineering Mechanics

基　　金：中国工程物理研究院科学技术发展基金项目(2012B0201028;2012B0201027;2012A0201011;2013A0101004;2013A0201009)

摘　　要：该文提出了一种基于双三次曲面片的适用于结构和非结构网格的三维接触面光滑方法。此光滑方法中,仅仅依靠网格节点坐标和法向定义了双三次曲面片,并由此构造出曲面片之间切平面连续,曲面片内C1连续的三维光滑接触面。在构造的光滑接触面上,设计了接触搜索方法用以确定接触发生的位置,并且依据罚函数接触算法,计算节点的穿透深度和接触作用力。算例结果显示光滑接触面确保了滑动节点的接触力的连续变化,提高了计算的收敛性。A new strategy for the smooth representation of three-dimensional contact surfaces is developed. This method can be applied to both regular and irregular meshes. In this method, the contact surfaces are modeled using bi-cubic parametric patches. These patches are defined only by using the coordinates and the normal vectors of the mesh nodes. The resulting surfaces are tangent plane continuous between adjacent patches and C1 continuous in the patches. A contact search algorithm is designed on the smooth contact surfaces to determine the contact points. Then the gaps and the contact forces are calculated using the penalty algorithm. The numerical examples demonstrate that the smooth contact surface ensures that the contact forces of the sliding nodes vary smoothly and provides an improvement in convergence behavior.

关 键 词：接触算法 界面光滑 双三次参数曲面片 罚函数方法 拉氏数值模拟 

分 类 号：O343.3[理学—固体力学]