Numerical Stability Criteria for Localized Post-buckling Solutions in a Strut-on-Foundation Model

M. Khurram Wadee; Ciprian D. Coman; Andrew P. Bassom

doi:10.1115/1.1757486

Numerical Stability Criteria for Localized Post-buckling Solutions in a Strut-on-Foundation Model

M. Khurram Wadee, Ciprian D. Coman, Andrew P. Bassom

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Some stability results are established for localized buckling solutions of a strut-on-foundation model which has an initially unstable post-buckling path followed by a restabilizing property. These results are in stark contrast with those for models with non-restabilizing behavior for which all solutions are unstable under dead-loading conditions. By approximating solutions with a nonperiodic set of functions, the stability of these static solutions can be assessed by examining the nature of the equilibrium using total potential energy considerations.

Original language	English
Pages (from-to)	334-341
Number of pages	8
Journal	Journal of Applied Mechanics, Transactions ASME
Volume	71
Issue number	3
DOIs	https://doi.org/10.1115/1.1757486
Publication status	Published - 22 Jun 2004
Externally published	Yes

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AB - Some stability results are established for localized buckling solutions of a strut-on-foundation model which has an initially unstable post-buckling path followed by a restabilizing property. These results are in stark contrast with those for models with non-restabilizing behavior for which all solutions are unstable under dead-loading conditions. By approximating solutions with a nonperiodic set of functions, the stability of these static solutions can be assessed by examining the nature of the equilibrium using total potential energy considerations.

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Numerical Stability Criteria for Localized Post-buckling Solutions in a Strut-on-Foundation Model

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