Vibrational analysis of advanced composite plates resting on elastic foundation

J. L. Mantari; E. V. Granados; C. Guedes Soares

doi:10.1016/j.compositesb.2014.05.026

Vibrational analysis of advanced composite plates resting on elastic foundation

J. L. Mantari
, E. V. Granados
, C. Guedes Soares

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

58 Scopus citations

Abstract

This paper presents a free vibration analysis of functionally graded plates (FGPs) resting on elastic foundation. The displacement field is based on a novel non-polynomial higher order shear deformation theory (HSDT). The elastic foundation follows the Pasternak (two-parameter) mathematical model. The governing equations are obtained through the Hamilton's principle. These equations are then solved via Navier-type, closed form solutions. The fundamental frequencies are found by solving the eigenvalue problem. The degree of precision of the current solution can be noticed by comparing it with the 3D and other closed form solutions available in the literature.

Original language	English
Pages (from-to)	407-419
Number of pages	13
Journal	Composites Part B: Engineering
Volume	66
DOIs	https://doi.org/10.1016/j.compositesb.2014.05.026
State	Published - Oct 2014
Externally published	Yes

Keywords

A. Laminates
B. Vibration
C. Analytical modelling
Functionally graded materials

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10.1016/j.compositesb.2014.05.026

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@article{603f471c506344f682c2b5502c399264,

title = "Vibrational analysis of advanced composite plates resting on elastic foundation",

abstract = "This paper presents a free vibration analysis of functionally graded plates (FGPs) resting on elastic foundation. The displacement field is based on a novel non-polynomial higher order shear deformation theory (HSDT). The elastic foundation follows the Pasternak (two-parameter) mathematical model. The governing equations are obtained through the Hamilton's principle. These equations are then solved via Navier-type, closed form solutions. The fundamental frequencies are found by solving the eigenvalue problem. The degree of precision of the current solution can be noticed by comparing it with the 3D and other closed form solutions available in the literature.",

keywords = "A. Laminates, B. Vibration, C. Analytical modelling, Functionally graded materials",

author = "Mantari, \{J. L.\} and Granados, \{E. V.\} and \{Guedes Soares\}, C.",

note = "Funding Information: The first author has been financed by the Portuguese Foundation of Science and Technology under the contract number SFRH/BPD/91210/2012. ",

year = "2014",

month = oct,

doi = "10.1016/j.compositesb.2014.05.026",

language = "English",

volume = "66",

pages = "407--419",

journal = "Composites Part B: Engineering",

issn = "1359-8368",

}

TY - JOUR

T1 - Vibrational analysis of advanced composite plates resting on elastic foundation

AU - Mantari, J. L.

AU - Granados, E. V.

AU - Guedes Soares, C.

N1 - Funding Information: The first author has been financed by the Portuguese Foundation of Science and Technology under the contract number SFRH/BPD/91210/2012.

PY - 2014/10

Y1 - 2014/10

N2 - This paper presents a free vibration analysis of functionally graded plates (FGPs) resting on elastic foundation. The displacement field is based on a novel non-polynomial higher order shear deformation theory (HSDT). The elastic foundation follows the Pasternak (two-parameter) mathematical model. The governing equations are obtained through the Hamilton's principle. These equations are then solved via Navier-type, closed form solutions. The fundamental frequencies are found by solving the eigenvalue problem. The degree of precision of the current solution can be noticed by comparing it with the 3D and other closed form solutions available in the literature.

AB - This paper presents a free vibration analysis of functionally graded plates (FGPs) resting on elastic foundation. The displacement field is based on a novel non-polynomial higher order shear deformation theory (HSDT). The elastic foundation follows the Pasternak (two-parameter) mathematical model. The governing equations are obtained through the Hamilton's principle. These equations are then solved via Navier-type, closed form solutions. The fundamental frequencies are found by solving the eigenvalue problem. The degree of precision of the current solution can be noticed by comparing it with the 3D and other closed form solutions available in the literature.

KW - A. Laminates

KW - B. Vibration

KW - C. Analytical modelling

KW - Functionally graded materials

UR - https://www.scopus.com/pages/publications/84904118661

U2 - 10.1016/j.compositesb.2014.05.026

DO - 10.1016/j.compositesb.2014.05.026

M3 - Article

AN - SCOPUS:84904118661

SN - 1359-8368

VL - 66

SP - 407

EP - 419

JO - Composites Part B: Engineering

JF - Composites Part B: Engineering

ER -

Vibrational analysis of advanced composite plates resting on elastic foundation

Abstract

Keywords

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