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Fundamental frequency maximization of composite rectangular plates by sequential permutation search algorithm
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DOI：10.1080/15376494.2021.1934762.png)
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Due to the classical thin plate theory based governing equations of composite rectangular plates for dynamic problems are linear homogeneous equations on bending stiffness coefficients, a general sequential permutation search (SPS) algorithm is presented to optimize stacking sequences of composite laminates by exploiting convexity of lamination parameters, sensitivity of bending stiffness, and bending-twisting coupling stiffness feature. Numerical examples are conducted for 8-layer composite rectangular plates with different boundaries to maximize the fundamental frequency evaluated by the Rayleigh-Ritz method, and the results are compared with those of layerwise optimization approach and genetic algorithm, demonstrating robustness and efficiency of SPS.
Keyword:
Composite rectangular plates
fundamental frequency
Rayleigh-Ritz method
Sequential permutation search
stacking sequence
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