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Third-order isogeometric analysis for vibration characteristics of FGP plates in the thermal environment supported by Kerr foundation

Vu, N.A. and Pham, T.D. and Tran, T.T. and Pham, Q.-H. (2023) Third-order isogeometric analysis for vibration characteristics of FGP plates in the thermal environment supported by Kerr foundation. Case Studies in Thermal Engineering, 45. ISSN 2214157X

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Abstract

This paper extends isogeometric analysis (IGA) based on third-order shear deformation theory (TSDT) for vibration analysis of functionally graded porous (FGP) plates in the thermal environment resting on Kerr foundation. IGA is based on non-uniform rational B-spline (NURBS) basic functions, so it can represent exact geometry and satisfy higher-order approximation (C1 continuous function) conditions of TSDT. This combination ensures high accuracy, including transverse shear deformation, without having to use any correction factors. The temperature field via the plate thickness satisfies the steady‐state heat transfer equation. The governing equations are derived from Hamilton's principle. Then, numerical examples are conducted to validate the effectiveness of the proposed method. Finally, the effects of geometrical parameters, material properties, boundary conditions (BCs), temperature change and foundation stiffness on the thermal vibration of FGP plates are fully considered. © 2023 The Authors

Item Type: Article
Divisions: Faculties > Faculty of Aerospace Engineering
Faculties > Faculty of Mechanical Engineering
Institutes > Institute of Techniques for Special Engineering
Identification Number: 10.1016/j.csite.2023.102890
Uncontrolled Keywords: Equations of state; Geometry; Heat transfer; Interpolation; Numerical methods; Plates (structural components); Rational functions; Shear deformation; Vibration analysis, Functionally graded; Functionally graded porous; Isogeometric analysis; Kerr foundation; Non-uniform rational B-splines; Thermal environment; Third order; Third-order shear deformation theory; Vibration characteristics; Vibrations analysis, Foundations
URI: http://eprints.lqdtu.edu.vn/id/eprint/10808

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