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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (11): 1263-1273.

• 论文 • 上一篇    下一篇

THE STRESS SUBSPACE OF HYBRID STRESS ELEMENT AND THE DIAGONALIZATION METHOD FOR FLEXIBILITY MATRIX H

张灿辉, 冯伟, 黄黔   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • 收稿日期:2001-10-09 修回日期:2002-08-03 出版日期:2002-11-18 发布日期:2002-11-18
  • 基金资助:
    the Aid Funds of Ministry of Education to Returnee from Foreign;the Funds of Ministry of Education to Backbone Teachers in Institutions of Higher Education;the Down Program of Shanghai Foundation of Education(99SG38);the Key Project of Shanghai Education Committee

THE STRESS SUBSPACE OF HYBRID STRESS ELEMENT AND THE DIAGONALIZATION METHOD FOR FLEXIBILITY MATRIX H

ZHANG Can-hui, FENG Wei, HUANG Qian   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • Received:2001-10-09 Revised:2002-08-03 Online:2002-11-18 Published:2002-11-18
  • Supported by:
    the Aid Funds of Ministry of Education to Returnee from Foreign;the Funds of Ministry of Education to Backbone Teachers in Institutions of Higher Education;the Down Program of Shanghai Foundation of Education(99SG38);the Key Project of Shanghai Education Committee

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摘要： The following is proved: 1) The linear independence of assumed stress modes is the necessary and sufficient condition for the nonsingular flexibility matrix;2. ) The equivalent assumed stress modes lead to the identical hybrid element The Hilbert stress subspace of the assumed stress modes is established So, it is easy to derive the equivalent orthogonal normal stress modes by Schmidt’s method Because of the resulting diagonal flexibility matrix, the identical hybrid element is free from the complex matrix inversion so that the hybrid efficiency is improved greatly The numerical examples show that the method is effective.

关键词: hybrid stress finite element, Hilbert stress subspace, diagonalization method for flexibility matrix

Abstract: The following is proved: 1) The linear independence of assumed stress modes is the necessary and sufficient condition for the nonsingular flexibility matrix;2. ) The equivalent assumed stress modes lead to the identical hybrid element The Hilbert stress subspace of the assumed stress modes is established So, it is easy to derive the equivalent orthogonal normal stress modes by Schmidt’s method Because of the resulting diagonal flexibility matrix, the identical hybrid element is free from the complex matrix inversion so that the hybrid efficiency is improved greatly The numerical examples show that the method is effective.

Key words: hybrid stress finite element, Hilbert stress subspace, diagonalization method for flexibility matrix

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