Dynamical Engineering SystemsView this Special Issue
Andrzej Tylikowski, "Dynamic stability of functionally graded plate under in-plane compression", Mathematical Problems in Engineering, vol. 2005, Article ID 237039, 14 pages, 2005. https://doi.org/10.1155/MPE.2005.411
Dynamic stability of functionally graded plate under in-plane compression
Functionally graded materials have gained considerable attention in the high-temperature applications. A study of parametric vibrations of functionally graded plates subjected to in-plane time-dependent forces is presented. Moderately large deflection equations taking into account a coupling of in-plane and transverse motions are used. Material properties are graded in the thickness direction of the plate according to volume fraction power law distribution. An oscillating temperature causes generation of in-plane time-dependent forces destabilizing the plane state of the plate equilibrium. The asymptotic stability and almost-sure asymptotic stability criteria involving a damping coefficient and loading parameters are derived using Liapunov's direct method. Effects of power law exponent on the stability domains are studied.
Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.