基于有限元法的柔性体变形实时模拟  

Real Time Simulation of Soft Body Deformation Based on Finite Element Method

作　　者：陆忠华[1,2] 张争艳[2] 陈定方[2] 

机构地区：[1]国家桥门式起重机械产品质量监督检验中心,无锡214174 [2]武汉理工大学智能制造与控制研究所,武汉430063

出　　处：《武汉理工大学学报（交通科学与工程版）》2012年第4期700-703,707,共5页Journal of Wuhan University of Technology（Transportation Science & Engineering）

基　　金：高等学校博士学科点专项基金项目资助(批准号:20090143110005)

摘　　要：利用有限元方法对柔性体进行了物理建模,实现了柔性体的实时变形模拟.采用单元刚度弯曲的方法,不断纠正单元节点力,使得单元体在较大旋转时仍能得到正确的变形.从旋转矩阵的角度分析了利用单元刚度弯曲时单元发生逆转的原因,并提出了对逆转单元的处理方法.并通过重心坐标,把表面模型与四面体网格模型相对应,使得柔性体在不丢失表面细节的同时又能实现实时的变形模拟.Finite element method is used for the physical modeling of soft body, real-time simulation of the soft body deformation is realized. Stiffness wrapping is used to continuously correct the element nodal forces to get the correct deformation even when elements have large rotations. From the per- spective of rotation matrix, the reason of element inversion is discussed, when stiffness wrapping was used, and a handle method of the inverted elements is presented. Using barycentric coordinates, the relation is built between surface model and tetrahedral mesh model, and a real-time deformation simu- lation without losing the detail of softy body＇s surface is gotten.

关 键 词：有限元 柔性体 单元逆转 重心坐标 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]