Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (5): 417-428.

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THE APPLICATIONS OF GENERALIZED VARIATIONAL PRINCIPLES IN NONLINEAR STRUCTURAL ANALYSIS

Cheng Xiang-sheng   

  1. Tongji University, Shanghai
  • Received:1990-01-04 Online:1993-05-18 Published:1993-05-18

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 of σ=βε1/m or τ=Cγ1/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.

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