Accurate analysis of steady state response of fully clamped orthotropic functionally graded rectangular plates. (September 2019)

• Record Type: Journal Article
• Authors: Fan, J H; Rong, D L; Tong, Z Z; Zhao, Z; Zhou, Z H; Xu, X S
• Is Part Of: IOP conference series. Volume 531(2019)
• Publication Date: 2019-09
• Subjects: Materials science -- Periodicals; 620.1105
• DOI: 10.1088/1757-899X/531/1/012066
• Languages: English
• ISSNs: 1757-8981

Abstract

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.