摘要
为了在研究接触问题的数值模拟中更加明确地分析接触界面,提出了基于面-面模式的搜索算法,这种搜索模式更能提高搜索精度.首先利用预搜索,排除不相干的点对,从而减少计算量,缩小计算范围.利用有限元的等参概念,根据投影定律,定义接触点间的接触关系,同时为了避免变形过程对接触搜索的影响,将时程分析引入搜索的目标方程中,根据优化原理搜索接触点对,分析了搜索算法在高阶单元和低阶单元中的应用.最后通过算例证明了该算法的有效性和可靠性.
In order to precisely analyze the contact interfaces in the numerical simulation of contact problems,a searching algorithm based on face-face model was proposed,which could enhance the searching precision. Firstly,the uncorrelated contact pairs could be excluded with the pre-searching method,which could reduce both computational amount and computational scope. Through using the isoparametric concept of finite element and according to the projection theory,the relationship between the contact points could be defined. In order to avoid the influence of deformation process on the contact searching,the time history analysis was introduced into the objective equation of contact searching. The contact pairs could be searched according to the optimal theory. Moreover,the application of searching algorithm in the higher order and loworder elements was studied. Finally,the effectiveness and reliability of the proposed algorithm is proved with numerical examples.
出处
《沈阳工业大学学报》
EI
CAS
北大核心
2014年第3期328-333,共6页
Journal of Shenyang University of Technology
基金
国家自然科学基金资助项目(551179129)
关键词
接触
面-面搜索模式
低阶单元
高阶单元
等参单元
接触点对
投影定律
约束矩阵
contact
face-face searching model
lower order element
higher order element
isoparametric element
contact pair
projection law
constrained matrix
