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Proceedings Paper

Spectral element formulation for SMA beams under random vibration excitation
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Paper Abstract

A complex modulus approach typical of viscoelastic materials is used to linearize the equation of motions of a combined beam-rod SMA pseudoelastic element and use a Spectral Finite Element formulation to study the dynamic behavior in the frequency domain. The complex modulus approach allows using viscoelastic SFE formulations presented in literature and adapt them to Ni-Ti alloy elements with different tensile pre-strain levels. The dispersion relations of Love rod and Euler-Bernoulli beams are discussed in view of the use of the experimental available complex modulus curves of the materials. As a demonstration of the use of the SFE technique, a cantilever beam loaded with a tip force is then modeled with a single Spectral Element, with increased accuracy of lower number of linear FE elements per unit wavelength.

Paper Details

Date Published: 21 July 2004
PDF: 8 pages
Proc. SPIE 5387, Smart Structures and Materials 2004: Active Materials: Behavior and Mechanics, (21 July 2004); doi: 10.1117/12.545968
Show Author Affiliations
Fabrizio L. Scarpa, Univ. of Sheffield (United Kingdom)
Massimo Ruzzene, Georgia Institute of Technology (United States)
Mohammed Roshdi Hassan, Univ. of Sheffield (United Kingdom)

Published in SPIE Proceedings Vol. 5387:
Smart Structures and Materials 2004: Active Materials: Behavior and Mechanics
Dimitris C. Lagoudas, Editor(s)

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