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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (11): 1228-1240.

• 论文 • 上一篇    下一篇

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

王枚, 袁驷   

  1. Department of Civil Engineering, Tsinghua University, Beijing 100084, P. R. China
  • 收稿日期:2003-02-28 修回日期:2004-06-20 出版日期:2004-11-18 发布日期:2004-11-18
  • 通讯作者: YUAN Si(1953～ ), Professor, Doctor(Corresponding author, Tel:+86-10-62786185;+86-10-62773547;Fax:+86-10-62771132;E-mail:yuans@tsinghua.edu.cn) E-mail:yuans@tsinghua.edu.cn
  • 基金资助:

    the National Natural Science Foundation of China(50278046);the Doctoral Foundation of Education Ministry of China(97000315)

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

WANG Mei, YUAN Si   

  1. Department of Civil Engineering, Tsinghua University, Beijing 100084, P. R. China
  • Received:2003-02-28 Revised:2004-06-20 Online:2004-11-18 Published:2004-11-18

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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.

Abstract: 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.

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