Electroconductive cylindrical thin elastic shells carrying electric current and immersed in a magnetic field: Implications of the current-magnetic coupling on the shells' instability

Article type: Research Article

Authors: Qin, Zhanming^{a; *} | Hasanyan, Davresh^a | Librescu, Liviu^a

Affiliations: [a] Department of Engineering Science & Mechanics, Virginia Polytechnic Institute & State University, Blacksburg, VA 24061-0219, USA

Correspondence: [*] Corresponding author: Present address: MOE Key Laboratory for Strength and Vibration, Xi'an Jiaotong University, Xi'an, 710049, PRC. E-mail: [email protected]

Abstract: The dynamic behavior and instability of perfectly electroconductive circular cylindrical thin shells immersed in an applied magnetic field and simultaneously carrying electric current is modeled and investigated. It is assumed that the current and the applied magnetic field are parallel and aligned to the shell's longitudinal direction. Within the framework of the technical theory of thin shells, the 2-D equations of motion that capture the interaction between the shell and the electromagnetic field are derived. Having in view that the thin-walled structures carrying strong electric current are highly susceptible to buckling, by using the present model, the influence of the current-magnetic coupling on the shell buckling is specifically addressed.

Keywords: Magnetoelasticity, flexural wave propagation, thin elastic shells, circular cylindrical shells, buckling

DOI: 10.3233/JAE-2009-1049

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 31, no. 2, pp. 79-96, 2009