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The geometrical optimisationOptimisation of smart sandwich plates on Pasternak-type elastic foundations is presented in this chapter. The basic equations are derived based on Reddy’s higher-order shear deformation plate theory and Hamilton’s principle, taking into account the effect of von Kármán kinematic nonlinearity. The forms of possible solutions and electric and magnetic potentials are chosen as double trigonometric functions based on boundary conditions. The expressions of the natural frequency and the critical buckling load are determined by using the Galerkin method. The Bees AlgorithmBees algorithm is applied to obtain the maximum values of the natural frequency and the critical buckling load of the sandwich plate, which depends on geometrical and material parameters.

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Geometrical Optimisation of Smart Sandwich Plates Using the Bees Algorithm

  • 章节

  • 发表日期：

    2025年

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  • Nguyen Dinh Duc,
  • Tran Quoc Quan

摘要

The geometrical optimisationOptimisation of smart sandwich plates on Pasternak-type elastic foundations is presented in this chapter. The basic equations are derived based on Reddy’s higher-order shear deformation plate theory and Hamilton’s principle, taking into account the effect of von Kármán kinematic nonlinearity. The forms of possible solutions and electric and magnetic potentials are chosen as double trigonometric functions based on boundary conditions. The expressions of the natural frequency and the critical buckling load are determined by using the Galerkin method. The Bees AlgorithmBees algorithm is applied to obtain the maximum values of the natural frequency and the critical buckling load of the sandwich plate, which depends on geometrical and material parameters.