Dynamic Actuation and Quadratic Magnetoelastic Coupling of Thin Magnetostrictive Shells

[+] Author and Article Information
H. S. Tzou

Department of Mechanical Engineering, StrucTronics Lab, University of Kentucky, Lexington, KY 40506-0503hstzou@engr.uky.edu

W. K. Chai, M. Hanson

Department of Mechanical Engineering, StrucTronics Lab, University of Kentucky, Lexington, KY 40506-0503

J. Vib. Acoust 128(3), 385-391 (Jun 07, 2005) (7 pages) doi:10.1115/1.2175089 History: Received February 25, 2005; Revised June 07, 2005

Smart adaptive structures and structronic systems have been increasingly investigated and developed in the last two decades. Although smart structures made of piezoelectrics, shape-memory materials, electrostrictive materials, and electro-/magnetorheological fluids have been evaluated extensively, studies of magnetostrictive continua, especially generic mathematical model(s), are still relatively scarce. This study is to develop a generic mathematical model for adaptive and controllable magnetostrictive thin shells. Starting with fundamental constitutive magnetostrictive relations, both elastic and magnetostrictive stresses, forces, and moments of a generic double-curvature magnetostrictive shell continuum subject to small and moderate magnetic fields are defined. Dynamic magnetomechanical system equations and permissible boundary conditions are defined using Hamilton's principle, elasticity theory, Kirchhoff-Love thin shell theory and the Gibb's free energy function. Magnetomechanical behavior and dynamic characteristics of magnetostrictive shells are evaluated. Simplifications of magnetostrictive shell theory to other common geometries are demonstrated and magnetostrictive/dynamic coupling and actuation characteristics are discussed.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

A magnetostrictive shell continuum

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Figure 2

Boundary conditions on a magnetostrictive shell continuum

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Figure 3

A magnetostrictive spherical shell

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Figure 4

A magnetostrictive toroidal shell



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