Nonlinear principal resonance of a soft ferromagnetic rectangular plate under a transverse magnetic field

Issue title: Selected Papers from the 14th International Symposium on Applied Electromagnetics and Mechanics (ISEM 2009), Part II

Article type: Research Article

Authors: Xue, Chunxia^{a; *} | Zhang, Shanyuan^b | Shu, Xuefeng^b

Affiliations: [a] College of Science, North university of China, Taiyuan, China | [b] Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan, China

Correspondence: [*] Corresponding author: Chunxia Xue, E-mail: [email protected]

Abstract: In this paper, a model is presented for a soft ferromagnetic rectangular thin plate which is coupled with a transverse magnetic field and is further under a transverse uniformly distributed load. The four edges of the plate are simply supported. Using the multiple scale method, the amplitude-frequency response equation in steady state is obtained. The amplitude-frequency response curves and the relevant time history curves are given by Matlab programs. Furthermore, the influence of the plate thickness, magnetic field and magnetize coefficient on the vibration behaviour of the system is analyzed.

Keywords: Soft ferromagnetic plate, magnetoelastic, Garlerkin method, principal resonance

DOI: 10.3233/JAE-2010-1261

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 33, no. 3-4, pp. 1359-1364, 2010