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Shock and Vibration
Volume 19, Issue 1, Pages 81-100
http://dx.doi.org/10.3233/SAV-2012-0617

Dynamic Effects of Embedded Macro-Fiber Composite Actuators on Ultra-Light Flexible Structures of Repeated Pattern- a Homogenization Approach

A. Salehian1 and T.M. Seigler2

1Department of Mechanical and Mechatronics Engineering, University of Walterloo, Waterloo, Ontario, N2L 3G1, Canada
2Department of Mechanical Engineering, University of Kentucky, Lexington, KY, USA

Received 11 February 2010; Revised 22 July 2010

Copyright © 2012 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Motivated by deployable satellite technology, this article presents a homogenization model of an inflatable, rigidized lattice structure with distributed macro-fiber composite (MFC) actuation. The model is based upon a general expression for the strain and kinetic energy of a fundamental repeated element of the structure. These expressions are reduced in order and expressed in terms of the strain and displacement components of an equivalent one-dimensional vibration model. The resulting model is used to analyze changes in the structural natural frequencies introduced by the local effects of the added macro-fiber composite actuators for several configurations. A finite element solution is used as a comparison for the homogenization model, and the two are shown to be in good agreement, although the latter requires significantly less computational effort.