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

作者：Asnafi A^*; Abedi M

来源：Acta Mechanica, 2015, 226(7): 2347-2363.

DOI：10.1007/s00707-015-1321-7

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.

• 出版日期2015-7