Differential-algebraic approach to large deformation analysis of frame structure

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Differential-algebraic approach to large deformation analysis of frame structures subjected to dynamic loads

A nonlinear mathematical model for the analysis of large deformation of frame structures with discontinuity conditions and initial displacements,subject to dynamic loads is formulated with arc-coordinates.The differential quadrature element method (DQEM)is then applied to discretize the nonlinear mathematical model in the spatial domain.An effective method is presented to deal with discontinuity conditions of multivariables in the application of DQEM.A set of DQEM discretization equations are obtained,which are a set of nonlinear differential-algebraic equations with singularity in the time domain.This paper also presents a method to solve nonlinear differential-algebra equations.As application,static and dynamical analyses of large deformation of frames and combined frame structures,subjected to concentrated and distributed forces,are presented.The obtained results are compared with those in the literatares.Numerical results show that the proposed method is general,and effective in dealing with discontinuity conditions of multi-variables and solving difierential-algebraic equations.It requires only a small number of nodes and has low computation complexity with high precision and a good convergence property.水利论文 e2dO,S C"rH

作 者: HU Yu-jia ZHU Yuan-yuan CHENG Chang-jun  
作者单位:HU Yu-jia(Shanghai Institute of Applied Mathematics and Mechanics,Department of Mechanics,Shanghai University,Shanghai 200072,P.R.China)
v b(v!T9d Vl!z0ZHU Yuan-yuan(Department of Computer Science and Technology,Shanghai Normal University,Shanghai 200234,P.R.China)水利论文h fxrSR&t E
CHENG Chang-jun(Shanghai Institute of Applied Mathematics and Mechanics,Department of Mechanics,Shanghai University,Shanghai 200072,P.R.China;Department of Mechanics,Shanghai University,Shanghai 200444,P.R.China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2008 29(4) 
分类号:O344.3 
关键词:frame   large deformation   discontinuity condition   differential quadrature element method(DQEM)   differential-algebraic system  
机标关键词:frame structuresmathematical modellarge deformationcomputation complexityconvergence propertyspatial domainhigh precisiontime domaindeal with 
基金项目:上海浦江项目,上海市重点学科建设项目 
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