Vibration of Conducting Two-Layer Sandwich Homogeneous Elastic Beams in Transverse Magnetic Fields
Publication: Journal of Aerospace Engineering
Volume 27, Issue 3
Abstract
A theory governing the flexural vibration of a conducting two-layer sandwich homogeneous elastic beam in a transverse magnetic field is presented. The physics driving this problem derives from an energy dissipation mechanism through press-fit joints in structural laminates. Recent advances made in the mechanics of sandwich-layered structures have shown that by simulating an environment of nonuniform interface pressure, structural vibration can be attenuated significantly. Equations of mathematical physics governing the stresses and the structural vibration are derived via a laminated beam theory employing the Newtonian form of Cauchy’s stress equations. By restricting mathematical analysis to the case of cantilever architecture, a closed-form polynomial expression is derived for the system response. In particular, the effects of magnetoelasticity, material conductivity, and interfacial pressure gradient on the response characteristics are demonstrated for design analysis and engineering applications. It is shown via integral transforms that each mode of vibration is governed by a two-dimensional family of natural frequency. For special and limit cases, recent theoretical and experimental results are validated from the theory reported in this paper.
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Published In
Journal of Aerospace Engineering
Volume 27 • Issue 3 • May 2014
Pages: 548 - 574
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jan 13, 2011
Accepted: Nov 16, 2012
Published online: Nov 20, 2012
Published in print: May 1, 2014
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