The Generalized Variational Principles in Applications for Nonlinear Structural Analysis

Cheng Xiang-sheng

Volume 14 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(5): 397-406

Cheng Xiang-sheng. The Generalized Variational Principles in Applications for Nonlinear Structural Analysis[J]. Applied Mathematics and Mechanics, 1993, 14(5): 397-406.

Citation:

Cheng Xiang-sheng. The Generalized Variational Principles in Applications for Nonlinear Structural Analysis[J]. Applied Mathematics and Mechanics, 1993, 14(5): 397-406.

Citation:

Cheng Xiang-sheng. The Generalized Variational Principles in Applications for Nonlinear Structural Analysis[J]. Applied Mathematics and Mechanics, 1993, 14(5): 397-406.

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The Generalized Variational Principles in Applications for Nonlinear Structural Analysis

Cheng Xiang-sheng

Tongji University, Shanghai

Received Date: 1990-01-04
Publish Date: 1993-05-15

Abstract

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=βε^1/m or τ=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.
- generalized variational principle,
- nonlinear structures,
- statically indeterminate structures

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References(28)

References

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