Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels

Yang, J and Shen, H 2003, 'Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels', Journal of Sound and Vibration, vol. 261, no. 5, pp. 871-893.


Document type: Journal Article
Collection: Journal Articles

Title Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels
Author(s) Yang, J
Shen, H
Year 2003
Journal name Journal of Sound and Vibration
Volume number 261
Issue number 5
Start page 871
End page 893
Total pages 23
Publisher Elsevier Ltd
Abstract This paper investigates free vibration and dynamic instability of functionally graded cylindrical panels subjected to combined static and periodic axial forces and in thermal environment. Theoretical formulations are based on Reddy's higher order shear deformation shell theory to account for rotary inertia and the parabolic distribution of the transverse shear strains through the panel thickness. Thermal effects due to steady temperature change are included in the analysis. Material properties are assumed to be temperature dependent and graded in the thickness direction according to a power-law distribution in terms of the volume fractions of the constituents. The panel under current consideration is clamped or simply supported on two straight edges and may be either free, simply supported or clamped on the curved edges. A semi-analytical approach, which takes the advantages of one-dimensional differential quadrature approximation. Galerkin technique and Bolotin's method, is employed to determine the natural frequencies and the unstable regions of the panel. Numerical results for silicon nitride stainless-steel cylindrical panels are given in both dimensionless tabular and graphical forms. Effects of material composition, temperature rise, panel geometry parameters, and boundary conditions on free vibration and the parametric resonance are also studied.
Subject Mechanical Engineering not elsewhere classified
Keyword(s) boundary conditions
composition effects
dynamic response
natural frequencies
numerical methods
resonance
shear deformation
silicon nitride
stainless steel
thermal effects
vibrations (mechanical)
volume fraction
DOI - identifier 10.1016/S0022-460X(02)01015-5
ISSN 0022-460X
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