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Purpose <p>Spherical shell structures are widely used in aircraft structures, and their stochastic vibration characteristics are closely related to aircraft reliability and safety. This paper investigates the stochastic vibration characteristics of the FG-GPLRC spherical shell structure under stationary/nonstationary stochastic excitation, providing the thoeretical reference for predicting the stochastic vibration response of the FG-GPLRC spherical shell under stochastic loads.</p> Methods <p>The theoretical model is established based on the first-order shear deformation theory (FSDT), integrating the spectro-geometric method (SGM) and pseudo-excitation method (PEM). Halpin-Tsai micromechanics and mixture rules are used to determine effective material properties of FG-GPLRC with different graphene distribution types. Boundary conditions are simulated via the massless artificial springs.</p> Results <p>The model’s accuracy is validated through comparisons with literature and finite element results. Parametric studies reveal the effects of graphene mass fraction, distribution patterns, geometric dimensions, and boundary conditions on the stochastic vibration responses, including displacement, velocity, and acceleration power spectral density and root mean square values.</p>

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Stationary/Nonstationary Stochastic Vibration Analysis of Functionally Graded Graphene Platelet Reinforced Spherical Shell

  • 期刊论文

  • 发表日期：

    2025年6月21日

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  • Zhengyang Gao,
  • Xianjie Shi,
  • Xikai Li,
  • Zhou Huang

摘要

Purpose

Spherical shell structures are widely used in aircraft structures, and their stochastic vibration characteristics are closely related to aircraft reliability and safety. This paper investigates the stochastic vibration characteristics of the FG-GPLRC spherical shell structure under stationary/nonstationary stochastic excitation, providing the thoeretical reference for predicting the stochastic vibration response of the FG-GPLRC spherical shell under stochastic loads.

Methods

The theoretical model is established based on the first-order shear deformation theory (FSDT), integrating the spectro-geometric method (SGM) and pseudo-excitation method (PEM). Halpin-Tsai micromechanics and mixture rules are used to determine effective material properties of FG-GPLRC with different graphene distribution types. Boundary conditions are simulated via the massless artificial springs.

Results

The model’s accuracy is validated through comparisons with literature and finite element results. Parametric studies reveal the effects of graphene mass fraction, distribution patterns, geometric dimensions, and boundary conditions on the stochastic vibration responses, including displacement, velocity, and acceleration power spectral density and root mean square values.