Spectral element formulation for SMA beams under random vibration excitation

Fabrizio L. Scarpa; Massimo Ruzzene; Mohammed Roshdi Hassan

doi:10.1117/12.545968

21 July 2004 Spectral element formulation for SMA beams under random vibration excitation

Fabrizio L. Scarpa, Massimo Ruzzene, Mohammed Roshdi Hassan

Proceedings Volume 5387, Smart Structures and Materials 2004: Active Materials: Behavior and Mechanics; (2004) https://doi.org/10.1117/12.545968
Event: Smart Structures and Materials, 2004, San Diego, CA, United States

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.

Citation Download Citation

Fabrizio L. Scarpa, Massimo Ruzzene, and Mohammed Roshdi Hassan "Spectral element formulation for SMA beams under random vibration excitation", Proc. SPIE 5387, Smart Structures and Materials 2004: Active Materials: Behavior and Mechanics, (21 July 2004); https://doi.org/10.1117/12.545968

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