The nonlinear random vibration of functionally graded plates under random excitation is presented. Material properties are assumed to be independent of temperature. The plates are assumed to have isotropic, two-constituent material distribution through the thickness. The modulus of elasticity, thermal expansion coefficient and density vary according to a power-law distribution in terms of the volume fractions of the constituents. The Classical Plate Theory (CPT) is employed for analytical formulations. Geometric nonlinearity due to in-plane stretching and von Karman type is considered. A Monte Carlo simulation of stationary random processes, multi-mode Galerkin-like approach, and numerical integration procedures are used to develop linear and nonlinear response solutions of clamped functionally graded plates. Uniform temperature distributions through the plate are assumed. Numerical results include time domain response histories, root mean square (RMS) values and response spectral densities. Effects of material composition and temperature rise are also investigated.
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ASME 2010 International Mechanical Engineering Congress and Exposition
November 12–18, 2010
Vancouver, British Columbia, Canada
Conference Sponsors:
- ASME
ISBN:
978-0-7918-4450-2
PROCEEDINGS PAPER
Nonlinear Random Vibration of Functionally Graded Plates Available to Purchase
Vedat Dogan
Vedat Dogan
Istanbul Technical University, Istanbul, Turkey
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Vedat Dogan
Istanbul Technical University, Istanbul, Turkey
Paper No:
IMECE2010-38251, pp. 435-440; 6 pages
Published Online:
April 30, 2012
Citation
Dogan, V. "Nonlinear Random Vibration of Functionally Graded Plates." Proceedings of the ASME 2010 International Mechanical Engineering Congress and Exposition. Volume 13: Sound, Vibration and Design. Vancouver, British Columbia, Canada. November 12–18, 2010. pp. 435-440. ASME. https://doi.org/10.1115/IMECE2010-38251
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