NDLI: A complete analogical study on the dynamic stability analysis of isotropic functionally graded plates subjected to lateral stochastic loads

Content Provider	Springer Nature Link
Author	Asnafi, A. Abedi, M.
Copyright Year	2015
Abstract	In this paper, the dynamic stability and bifurcation phenomenon for a class of isotropic functionally graded plates including power-law, sigmoid and exponential function under lateral stochastic loads are studied and compared. Due to the existence of random loads, both the behavior investigation and response analysis are not conventional deterministic methods. So, the instability region and border curves of bifurcation are evaluated via a probability density function of the response. The latter is computed from a completely exact solution of the Fokker–Planck–Kolmogorov equation. The three-dimensional instability region and the border curves of bifurcation are drawn with respect to material parameter, in-plane forces and the mean value of lateral forces. To generalize the results, all the parameters are transformed to some suitable nondimensional variables, and then, the effects of all mentioned parameters on the dynamic stability are completely discussed and compared. Finally, the analytic results are validated by drawing numeric bifurcation diagrams for the nondimensional deflections of plates.
Starting Page	2347
Ending Page	2363
Page Count	17
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	226
Issue Number	7
e-ISSN	16196937
Language	English
Publisher	Springer Vienna
Publisher Date	2015-02-27
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theoretical and Applied Mechanics Classical Continuum Physics Continuum Mechanics and Mechanics of Materials Structural Mechanics Vibration, Dynamical Systems, Control Engineering Thermodynamics, Heat and Mass Transfer
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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