Nonlinear free vibration behavior of functionally graded plates

• Published in: Journal of sound and vibration Vol. 289; no. 3; pp. 595 - 611
• Main Authors: Woo, J., Meguid, S.A., Ong, L.S.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 01.01.2006; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); High strain; Volume fraction; Free vibration; Thin plate; Thermomechanical properties; Fourier series; Modeling; Natural frequency; Thermal properties; Edge effect; Functionnally graded material; Rectangular plate; Von Kárman equation; Non linear effect; Power law; Dynamic load
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2005.02.031

In this paper, an analytical solution is provided for the nonlinear free vibration behavior of plates made of functionally graded materials. The material properties of the functionally graded plates are assumed to vary continuously through the thickness, according to a power-law distribution of the volume fraction of the constituents. The fundamental equations for thin rectangular plates of functionally graded materials are obtained using the von Karman theory for large transverse deflection, and the solution is obtained in terms of mixed Fourier series. The effect of material properties, boundary conditions and thermal loading on the dynamic behavior of the plates is determined and discussed. The results reveal that nonlinear coupling effects play a major role in dictating the fundamental frequency of functionally graded plates.