COMPUTATION OF SUPER-CONVERGENT NODAL STRESSES OF TIMOSHENKO BEAM ELEMENTS BY EEP METHOD  

作　　者：王枚 袁驷 

机构地区：[1]Department of Civil Engineering,Tsinghua University,Beijing 100084,P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2004年第11期1228-1240,共13页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (50 2 780 46) ;theDoctoralFoundationofEducationMinistryofChina (970 0 0 3 1 5)

摘　　要：The newly proposed element energy projection(EEP) method has been applied to the computation of super_convergent nodal stresses of Timoshenko beam elements.General formulas based on element projection theorem were derived and illustrative numerical examples using two typical elements were given.Both the analysis and examples show that EEP method also works very well for the problems with vector function solutions.The EEP method gives super_convergent nodal stresses,which are well comparable to the nodal displacements in terms of both convergence rate and error magnitude.And in addition,it can overcome the “shear locking” difficulty for stresses even when the displacements are badly affected.This research paves the way for application of the EEP method to general one_dimensional systems of ordinary differential equations.The newly proposed element energy projection(EEP) method has been applied to the computation of super_convergent nodal stresses of Timoshenko beam elements.General formulas based on element projection theorem were derived and illustrative numerical examples using two typical elements were given.Both the analysis and examples show that EEP method also works very well for the problems with vector function solutions.The EEP method gives super_convergent nodal stresses,which are well comparable to the nodal displacements in terms of both convergence rate and error magnitude.And in addition,it can overcome the “shear locking” difficulty for stresses even when the displacements are badly affected.This research paves the way for application of the EEP method to general one_dimensional systems of ordinary differential equations.

关 键 词：Timoshenko beam element super-convergent stress element energy projection method shear locking 

分 类 号：O302[理学—力学]