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Proceedings Paper

Direct stochastic linearization of a mechanical system with pseudoelastic shape memory alloy
Author(s): Luis D. Duval; Mohammad N. Noori; Zhikun Hou; Hamid Davoodi
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Paper Abstract

The first and second moments of response variables for SDOF system with pseudoelastic SMA's are obtained by a direct linearization procedure. This is an adaptation in the implementation of well-known statistical linearization methods, which provides concise, model-independent linearization coefficients. The method can be applied to systems that incorporate any SMA hysteresis model having a differential constitutive equation and can be used for zero and non-zero mean random vibration. The implementation eliminates the effort of deriving linearization coefficients for new SMA hysteresis model. In this work the statistical response of SDOF system containing a mass and a bar made of SMA is obtained via direct linearization procedure. The model considered is a phenomenological one-dimensional constitutive model, originally proposed by Graesser and Cozzarelli, which provides the capability to model both the martensitic twinning hysteresis and martensitic-austenite pseudoelastic behavior typical of SMA's. Response statistics for zero mean random vibration can be obtained. Furthermore, non-zero mean analysis of the system is carried out and comparisons are made with Monte Carlo simulation.

Paper Details

Date Published: 19 June 2000
PDF: 8 pages
Proc. SPIE 3984, Smart Structures and Materials 2000: Mathematics and Control in Smart Structures, (19 June 2000); doi: 10.1117/12.388780
Show Author Affiliations
Luis D. Duval, North Carolina State Univ. (United States)
Mohammad N. Noori, North Carolina State Univ. (United States)
Zhikun Hou, Worcester Polytechnic Institute (United States)
Hamid Davoodi, Univ. of Puerto Rico/Mayaguez (United States)

Published in SPIE Proceedings Vol. 3984:
Smart Structures and Materials 2000: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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