Determination of elasticity parameters in lumped element (mass-spring) models of deformable objects

被引：29

作者：

Natsupakpong, Sunya ^{[1
]}

Cavusoglu, M. Cenk ^{[1
]}

机构：

[1] Case Western Reserve Univ, Dept Elect & Comp Sci, Cleveland, OH 44106 USA

来源：

GRAPHICAL MODELS | 2010年 / 72卷

基金：

美国国家科学基金会;

关键词：

Deformable object models; Deformable object simulation; Lumped element models; Mass spring models; Elasticity parameters; Surgical simulation; IDENTIFICATION; DEFORMATIONS;

D O I：

10.1016/j.gmod.2010.10.001

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Lumped element models also known as mass-spring-damper models are widely used to simulate deformable objects because of their simplicity and computational efficiency However the parameters of lumped element models are typically determined in an ad hoc fashion through trial-and-error as these models are not directly based on continuum mechanics of deformable objects In this paper an alternative method to determine the elasticity parameters of lumped element models of deformable objects is presented The elasticity parameters are determined using an optimization that minimizes the matrix norm of the error between the stiffness matrices of the linear lumped element model and the linear finite element model of the same object The method has been developed for two-dimensions and for three-dimensional volumetric objects with tetrahedral and hexahedral (brick) elements The method has been validated by comparing deformation results of the lumped element models with the deformation results given by finite element models under various tension and compression loading conditions (C) 2010 Elsevier Inc All rights reserved

引用

页码：61 / 73

页数：13

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