Applied Mathematics and Mechanics

, Volume 14, Issue 5, pp 417–428 | Cite as

The applications of generalized variational principles in nonlinear structural analysis

  • Cheng Xiang-sheng
Article
  • 21 Downloads

Abstract

This paper discusses the generalized variational principles founded by the technique of Lagrangian multipliers in structural mechanics and analyzes the nonlinear statically indeterminate structures. It is assumed that the stress-strain relationship of the materials of structures has the form ofσ=Bε 1/m orτ=Cγ 1/m ; namely, the physical equations of structures have the shape of exponential functions. Several examples are given to illustrate the statically indeterminate structures such as the trusses, beams, frames and torsional bars.

Key words

generalized variational principle nonlinear structures statically indeterminate structures 

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Copyright information

© Shanghai University of Technology (SUT) 1993

Authors and Affiliations

  • Cheng Xiang-sheng
    • 1
  1. 1.Tongji UniversityShanghai

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