Response of a post-buckled giant-magnetostrictive thin film subject to Gaussian colored noise

Issue title: Proceedings from the 17th International Symposium on Applied Electromagnetics and Mechanics (ISEM 2015)

Guest editors: Fumio Kojima, Futoshi Kobayashi and Hiroyuki Nakamoto

Article type: Research Article

Authors: Ge, Gen^{a; *} | Li, Ze Peng^a | Xu, Jia^b

Affiliations: [a] School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin, China | [b] School of Mechanical Engineering, Tianjin University, Tianjin, China

Correspondence: [*] Corresponding author: Gen Ge, School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin 300160, China. E-mail:gegenroot@126.com

Abstract: One buckled simply supported giant magnetostrictive material (GMM) laminated thin film beam model subject to axial colored noise excitations is proposed. Applying the Hamilton principle and Galerkin approach the model is expressed as a one dimensional vibrating model with parametrical random excitation. The stochastic averaging method is used to obtain the probability density function (PDF) of the amplitude when the vibration is around the buckled position and the amplitude of the oscillation is small. The reliability of the system was also studied. The numerical simulation verified the theoretical analysis.

Keywords: GMM film, buckled beam, colored noise, stochastic averaging method

DOI: 10.3233/JAE-162142

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 52, no. 1-2, pp. 721-729, 2016