计算力学学报2026，Vol.43Issue(3)：404-412,9.DOI:10.7511/jslx20250529001
双参数地基上功能梯度多孔双曲浅壳随机振动分析
Stochastic vibration analysis of functionally graded porous doubly-curved shallow shells resting on two-parameter elastic foundations
摘要
Abstract
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.关键词
功能梯度多孔材料/双曲浅壳/随机振动/切比雪夫谱方法/双参数地基Key words
functionally graded porous materials/doublecurved shell/stochastic vibration/Chebyshev spectrum method/two-parameter foundation分类
数理科学引用本文复制引用
王杰,钟锐,王青山..双参数地基上功能梯度多孔双曲浅壳随机振动分析[J].计算力学学报,2026,43(3):404-412,9.基金项目
国家自然科学基金面上项目(52075554)资助. （52075554）
