The applications of generalized variational principles in nonlinear structural analysis (Q684485)
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scientific article; zbMATH DE number 411776
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The applications of generalized variational principles in nonlinear structural analysis |
scientific article; zbMATH DE number 411776 |
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The applications of generalized variational principles in nonlinear structural analysis (English)
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16 September 1993
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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 \(\sigma=B\varepsilon^{1/m}\) or \(\tau=C\gamma^{1/m}\). Several examples are given to illustrate statically indeterminate structures such as the trusses, beams, frames and torsional bars.
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Lagrangian multipliers
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nonlinear statically indeterminate structures
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stress-strain relationship
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trusses
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beams
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frames
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torsional bars
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