An original FSDT to study advanced composites on elastic foundation

J. L. Mantari; E. V. Granados

doi:10.1016/j.tws.2016.05.024

An original FSDT to study advanced composites on elastic foundation

J. L. Mantari, E. V. Granados

Science department

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

This paper presents a bending and free vibration analysis of functionally graded plates (FGPs) resting on elastic foundation by using an original first shear deformation theory (FSDT). This theory contains only four unknowns, which is even less than the classical FSDT. The elastic foundation follows the Pasternak (two-parameter) mathematical model. The governing equations for the bending and free vibration analysis are obtained through the principle of virtual work and Hamilton's principle, respectively. The original displacement field allows obtaining interesting governing equations. These equations are solved via Navier-type, closed form solutions. The accuracy of the current solution is verified by comparing it with 3D and other closed form solutions available in the literature.

Original language	English
Pages (from-to)	80-89
Number of pages	10
Journal	Thin-Walled Structures
Volume	107
DOIs	https://doi.org/10.1016/j.tws.2016.05.024
State	Published - 1 Oct 2016

Keywords

Analytical modelling
Elasticity
Mechanical properties
Plates
Vibration

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10.1016/j.tws.2016.05.024

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title = "An original FSDT to study advanced composites on elastic foundation",

abstract = "This paper presents a bending and free vibration analysis of functionally graded plates (FGPs) resting on elastic foundation by using an original first shear deformation theory (FSDT). This theory contains only four unknowns, which is even less than the classical FSDT. The elastic foundation follows the Pasternak (two-parameter) mathematical model. The governing equations for the bending and free vibration analysis are obtained through the principle of virtual work and Hamilton's principle, respectively. The original displacement field allows obtaining interesting governing equations. These equations are solved via Navier-type, closed form solutions. The accuracy of the current solution is verified by comparing it with 3D and other closed form solutions available in the literature.",

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AU - Granados, E. V.

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N2 - This paper presents a bending and free vibration analysis of functionally graded plates (FGPs) resting on elastic foundation by using an original first shear deformation theory (FSDT). This theory contains only four unknowns, which is even less than the classical FSDT. The elastic foundation follows the Pasternak (two-parameter) mathematical model. The governing equations for the bending and free vibration analysis are obtained through the principle of virtual work and Hamilton's principle, respectively. The original displacement field allows obtaining interesting governing equations. These equations are solved via Navier-type, closed form solutions. The accuracy of the current solution is verified by comparing it with 3D and other closed form solutions available in the literature.

AB - This paper presents a bending and free vibration analysis of functionally graded plates (FGPs) resting on elastic foundation by using an original first shear deformation theory (FSDT). This theory contains only four unknowns, which is even less than the classical FSDT. The elastic foundation follows the Pasternak (two-parameter) mathematical model. The governing equations for the bending and free vibration analysis are obtained through the principle of virtual work and Hamilton's principle, respectively. The original displacement field allows obtaining interesting governing equations. These equations are solved via Navier-type, closed form solutions. The accuracy of the current solution is verified by comparing it with 3D and other closed form solutions available in the literature.

KW - Analytical modelling

KW - Elasticity

KW - Mechanical properties

KW - Plates

KW - Vibration

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VL - 107

SP - 80

EP - 89

JO - Thin-Walled Structures

JF - Thin-Walled Structures

ER -

An original FSDT to study advanced composites on elastic foundation

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Keywords

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