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A highly efficient pseudospectral approach is developed for the free vibration analysis of laminated shells based on Reddy’s higher-order shear deformation shell theory. Kronecker products are employed to construct two-dimensional differentiation matrices, while univariate differentiation matrices are generated using Legendre polynomials.

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Free Vibration Analysis of Doubly-Curved Laminated Shells by Legendre Spectral Method and a Higher-Order Shell Theory

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  • 发表日期：

    2026年

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  • Susana C. F. Fernandes,
  • Jesús Cuartero,
  • António J. M. Ferreira,
  • Ana M. A. Neves

摘要

A highly efficient pseudospectral approach is developed for the free vibration analysis of laminated shells based on Reddy’s higher-order shear deformation shell theory. Kronecker products are employed to construct two-dimensional differentiation matrices, while univariate differentiation matrices are generated using Legendre polynomials.