On the size‐dependent vibrations of doubly curved porous shear deformable FGM microshells

This paper aims to analyse the free vibrations of doubly curved imperfect shear deformable functionally graded material microshells using a five‐parameter shear deformable model. Porosity is modeled via the modified power‐law rule by a logarithmic‐uneven variation along the thickness. Coupled axial,...

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Bibliographic Details
Published inInternational journal of mechanical system dynamics Vol. 4; no. 4; pp. 387 - 405
Main Authors Karami, Behrouz, Ghayesh, Mergen H., Hussain, Shahid, Amabili, Marco
Format Journal Article
LanguageEnglish
Published Nanjing John Wiley & Sons, Inc 01.12.2024
Subjects
Composite materials
Deformation
Equations of motion
Formability
Free vibration
functionally graded materials
Functionally gradient materials
Hamilton's principle
Investigations
microshells
Parameter modification
Porosity
Shear
vibrations
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ISSN2767-1399
2767-1402
DOI10.1002/msd2.12137

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Summary:This paper aims to analyse the free vibrations of doubly curved imperfect shear deformable functionally graded material microshells using a five‐parameter shear deformable model. Porosity is modeled via the modified power‐law rule by a logarithmic‐uneven variation along the thickness. Coupled axial, transverse, and rotational motion equations for general doubly curved microsystems are obtained by a virtual work/energy of Hamilton's principle using a modified first‐order shear deformable theory including small size dependence. The modal decomposition method is then used to obtain a solution for different geometries of microshells: spherical, elliptical, hyperbolic, and cylindrical. A detailed study on the influence of material gradation and porosity, small‐length scale coefficient, and geometrical parameters on the frequency characteristics of the microsystem is conducted for different shell geometries.
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ISSN:2767-1399
2767-1402
DOI:10.1002/msd2.12137