Nonlinear random vibrations of thermally buckled skew plates
Probabilistic Engineering Mechanics, ISSN: 0266-8920, Vol: 8, Issue: 3, Page: 265-271
1993
- 13Citations
- 5Captures
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Article Description
Random vibrations in the postbuckling range have chaotic properties superposed. For hard and simply supported polygonal plates a multi-modal projection by the Galerkin-procedure renders as a result of a proper non-dimensional formulation a set of nonlinearly coupled ordinary differential equations. Exact unifying solutions of the stationary F-P-K equation are constructed for that class of problems where the nonlinear restoring forces are derived from a potential function. Assuming an effective white noise excitation, the probability of first occurrence of dynamic snap-through is determined for a single mode approximation. Using a two-mode expansion the probability distribution of the asymmetric snap-buckling is also evaluated.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/026689209390020V; http://dx.doi.org/10.1016/0266-8920(93)90020-v; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0027807317&origin=inward; http://linkinghub.elsevier.com/retrieve/pii/026689209390020V; http://api.elsevier.com/content/article/PII:026689209390020V?httpAccept=text/xml; http://api.elsevier.com/content/article/PII:026689209390020V?httpAccept=text/plain; https://linkinghub.elsevier.com/retrieve/pii/026689209390020V; https://api.elsevier.com/content/article/PII:026689209390020V?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:026689209390020V?httpAccept=text/plain; http://dx.doi.org/10.1016/0266-8920%2893%2990020-v; https://dx.doi.org/10.1016/0266-8920%2893%2990020-v
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