双参数地基上功能梯度多孔双曲浅壳随机振动分析OA

This paper proposes a stochastic response analysis model for functionally graded porous(FGP)double curved shallow shells supported by a two-parameter elastic foundation.The model,developed using first-order shear deformation theory,combines the Chebyshev spectral method with the pseudo-excitation method(PEM)to provide a comprehensive solution for structural random vibrations under two-parameter foundation and elastic boundary conditions.The study begins by establishing a unified set of dynamic governing equations and energy functionals for double curved shallow shells.It then derives energy expressions for the two-parameter foundation.The total energy functional of the system is constructed by integrating subsystem energies using the penalty function method.Displacement admissible functions are formulated with the Chebyshev spectral method,and the structural vibration characteristic equation is derived through the Rayleigh-Ritz method.Next,the PEM is employed to analyze the system's response under stationary random excitation.The accuracy and reliability of the proposed model are validated through comparative analyses with the existing literature and finite element numerical simulations.Parametric investigations reveal the significant influence of elastic modulus,shear modulus of the foundation,shear modulus,FGP material porosity,pore distribution patterns,and curvature parameters on the stochastic vibration response of double curved shallow shells.These findings provide a theoretical foundation for structural design.