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Investigation of the damping behavior of vibrating shape memory alloy rod using a micromechanical model
Author(s): Eduard Roman Oberaigner; Kikuaki Tanaka; Franz Dieter Fischer
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Paper Abstract

A micromechanical model of the authors is formulated in such a way that it can be used to investigate the damping behavior of a rod consisting of shape memory alloys. The model delivers kinetic equations and stress-strain-temperature-volume fraction relations of the transformed (Martensitic) phase. These are coupled with the equations which describe the heat conduction and the (free) vibrations of a rod. Phase change leads to energy dissipation and thus to damping. From the kinetic equation and the constitutive law the dissipated energy and the dissipation rate can be derived at a given temperature. They attain a maximum at a certain fixed temperature between Martensite start and Martensite finish temperature. In order to maximize damping it would be optimal to have this certain temperature everywhere in the considered specimen. Let the rod be heated (or cooled) from its fixed end, then one gets a temperature distribution T(x,t) depending on the distance x from the fixed end at any time t. The total mechanical energy of the rod which is the sum of its kinetic energy and strain energy is calculated as function of time and of the heating (cooling) temperature. One finds that also the optimal damping takes place if this temperature lies between Martensite start and Martensite finish temperature.

Paper Details

Date Published: 5 May 1995
PDF: 13 pages
Proc. SPIE 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, (5 May 1995); doi: 10.1117/12.208854
Show Author Affiliations
Eduard Roman Oberaigner, Univ. for Mining and Metallurgy (Austria)
Kikuaki Tanaka, Tokyo Institute of Technology (Japan)
Franz Dieter Fischer, Univ. for Mining and Metallurgy (Austria)

Published in SPIE Proceedings Vol. 2442:
Smart Structures and Materials 1995: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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