Purpose <p>This study devotes to analyze the stochastic vibration response of multilayer functionally graded graphene platelets reinforced composite (FG-GPLRC) truncated conical shell subjected to moving loads. Two moving random load paths including meridional and circumferential moving random loads are taken into account. This research can provide the thoeretical reference for predicting the stochastic vibration response of multilayer FG-GPLRC truncated conical shell subjected to moving random loads.</p> Methods <p>The theoretical model is constructed by untilizing the&amp;nbsp; differential quadrature finite element method (DQFEM) in conjunction with pseudo excitation method (PEM) and Newmark-β method based on first-order shear deformation shell theory (FSDST). The penalty function method is selected to simulate the various boundary conditions. The effective material property parameters of FG-GPLRC are determined according to Halpin-Tsai micromechanics and the rules of mixture models and five dispersion patterns of GPL are considered.</p> Results <p>The convergence, accuracy, stability and reliability of the proposed theoretical model are verified gradually by using some representative numerical examples. The stochastic vibration response analysis of multilayer FG-GPLRC truncated conical shell subjected to moving random loads is carried out by investigating the effects of model parameters including weight fractions, dispersion patterns of GPL, boundary conditions, thicknesses, semi-vertex angles and radii on the stochastic response systematically.</p>

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Stochastic Vibration Response of Multilayer FG-GPLRC Truncated Conical Shell Subjected to Moving Random Loads

  • Zhen Li,
  • Qingshan Wang,
  • Qing Yang,
  • Bin Qin

摘要

Purpose

This study devotes to analyze the stochastic vibration response of multilayer functionally graded graphene platelets reinforced composite (FG-GPLRC) truncated conical shell subjected to moving loads. Two moving random load paths including meridional and circumferential moving random loads are taken into account. This research can provide the thoeretical reference for predicting the stochastic vibration response of multilayer FG-GPLRC truncated conical shell subjected to moving random loads.

Methods

The theoretical model is constructed by untilizing the&nbsp; differential quadrature finite element method (DQFEM) in conjunction with pseudo excitation method (PEM) and Newmark-β method based on first-order shear deformation shell theory (FSDST). The penalty function method is selected to simulate the various boundary conditions. The effective material property parameters of FG-GPLRC are determined according to Halpin-Tsai micromechanics and the rules of mixture models and five dispersion patterns of GPL are considered.

Results

The convergence, accuracy, stability and reliability of the proposed theoretical model are verified gradually by using some representative numerical examples. The stochastic vibration response analysis of multilayer FG-GPLRC truncated conical shell subjected to moving random loads is carried out by investigating the effects of model parameters including weight fractions, dispersion patterns of GPL, boundary conditions, thicknesses, semi-vertex angles and radii on the stochastic response systematically.