Applicability Two‐Dimensional Differential Integral Quadrature Method in Vibration Analysis of Multi‐Directional Functionally Graded Porous Viscoelastic Plates

Faculty Science Year: 2025
Type of Publication: ZU Hosted Pages:
Authors:
Journal: International Journal for Numerical Methods in Engineering Wiley Volume:
Keywords : Applicability Two‐Dimensional Differential Integral Quadrature Method    
Abstract:
This study formulates a differential integral quadrature method (DIQM) to analyze the free vibration characteristics of multi‐directional functionally graded material (MFGM) viscoelastic porous plates. The kinematic relations are derived using a unified shear deformation plate theory, while material behavior is governed by the integer‐order Kelvin‐Voigt viscoelastic constitutive model. Power‐law functions define the spatial gradation of material constituents along the length, width, and thickness directions. Two distinct porosity distributions are incorporated to characterize void and cavity variations through the plate's thickness. Hamilton's variational principle yields five coupled governing equations expressed as partial differential equations with variable coefficients. The differential quadrature method (DQM) discretizes these governing equations, with integral quadrature method (IQM) efficiently resolving the variable
   
     
 
       

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