基于空间组合式单元模型的表面求交算法  

Surface Intersection Algorithm Based on Spatial Embedded Finite Element Model

作　　者：汪基伟[1] 付宇 王亚奖 WANG Jiwei;FU Yu;WANG Yajiang(College of Civil and Transportation Engineering,Hohai University,Nanjing Jiangsu 210098,China;Quanzhou Audit Bureau,Quanzhou Fujian 362000,China)

机构地区：[1]河海大学土木与交通学院,江苏南京210098 [2]泉州市审计局,福建泉州362000

出　　处：《图学学报》2018年第2期221-227,共7页Journal of Graphics

基　　金：国家重点研发计划项目(2016YFC0402002)

摘　　要：在空间埋置组合式单元模型中,钢筋单元可埋置于混凝土单元任何位置,混凝土单元网格剖分不受钢筋位置的限制,方便实用,但需确定钢筋单元两端在混凝土单元表面的位置坐标。因此,求解钢筋线与混凝土单元表面的交点坐标是应用该单元模型的前提,现有的求解方法只适用于混凝土单元表面是平面的情况。为此,提出了牛顿迭代法和分块解析法两种处理方法,能求解钢筋线与混凝土单元表面为任何形状时的交点坐标,增强了该模型的适用性。通过算例验证了这两种方法的正确性。从适用性而言,分块解析法要优于牛顿迭代法。In the spatial embedded finite element model,the bar element can be embedded at any position in the concrete element.The element model is convenient because the mesh of the concrete element is not limited by the reinforcement.In the application of the element model,it is necessary to obtain the coordinates where the both ends of the steel element lie at the surface of the concrete element.Therefore,it is the premise of application of the model to solve the intersection of the reinforcement line and the concrete element surface.The existing method is only suit for the concrete element with plane surface.In this paper,the Newton iterative method and the divided block analytic method are proposed which can solve the intersection of the reinforcement line and the surface of concrete element with any shape.The method in the paper can enhance the applicability of the spatial embedded finite element model.The correctness of the two methods is verified by an example.In terms of applicability,the divided block analytic method is superior to the Newton iterative method.

关 键 词：钢筋混凝土有限元 单元模型 前处理 曲面表面 

分 类 号：TP391[自动化与计算机技术—计算机应用技术] TU375[自动化与计算机技术—计算机科学与技术]