Accurate analysis of steady state response of fully clamped orthotropic functionally graded rectangular plates

J H Fan; D L Rong; Z Z Tong; Z Zhao; Z H Zhou; X S Xu

doi:10.1088/1757-899X/531/1/012066

Author(s)

J H Fan
D L Rong
Z Z Tong
Z H Zhou
X S Xu

Related Research Unit(s)

Detail(s)

Original language	English
Article number	012066
Journal / Publication	IOP Conference Series: Materials Science and Engineering
Volume	531
Issue number	1
Online published	26 Sep 2019
Publication status	Published - 2019

Conference

Title	2nd International Conference on Modeling in Mechanics and Materials (CMMM 2019)
Place	China
City	Suzhou
Period	29 - 31 March 2019

Link(s)

DOI	DOI https://doi.org/10.1088/1757-899X/531/1/012066 Final Published version
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Attachment(s)	Documents 39348282.pdf Final Published version, 1.48 MB, PDF Publisher's Copyright Statement This full text is made available under CC-BY 3.0. https://creativecommons.org/licenses/by/3.0/
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85073596762&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(b4b29e69-5bc8-408a-af36-3f065d6dfe9c).html

Abstract

A Hamiltonian-based method is introduced to find exact solutions for steady state forced vibration of a fully clamped orthotropic functionally graded (FG) rectangular plate. The proposed method has two major steps. Firstly, the steady state response for an FG rectangular plate with Naiver-type boundary conditions is analytically derived by a wave-based symplectic method. Subsequently, exact solutions of the fully clamped FG rectangular plate are obtained by a symplectic superposition technique. The overall procedure is systematic with a clearly defined, step-by-step derivation. The accuracy of the obtained exact solutions is highlighted in comparison with reference data. Numerical results are presented to reveal the effects of the material properties.