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Nonlinear random vibrations of thermally buckled skew plates

Probabilistic Engineering Mechanics, ISSN: 0266-8920, Vol: 8, Issue: 3, Page: 265-271
1993
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    13
    • Citation Indexes
      13
  • Captures
    5

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.

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