Reduced Order Modeling of Hysteresis in Shape Memory Alloy

Author

Cheng, J. -W John ; Chang, Fong-Ming ; Yen, Chih-Yang

Author_Institution

Nat. Chung Cheng Univ., Chia-Yi

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

6720

Lastpage

6725

Abstract

By adopting the assumed mode approach, a reduced-order switched dynamic model of hysteresis in SMA (shape memory alloy) under constant stress loading is reported. It consists of three dynamic subsystems and a state-dependent switching logic. One subsystem is expressed in one 1st order nonlinear ODE and each of the other two subsystems is in two coupled 1st order nonlinear ODEs. Effectiveness of the proposed model is illustrated through comparison with published data. The model may constitute a useful alternative to complicated Preisach-type models for control applications

Keywords

hysteresis; martensitic transformations; nonlinear differential equations; reduced order systems; shape memory effects; time-varying systems; Preisach-type model; hysteresis; nonlinear ordinary differential equations; reduced-order switched dynamic model; shape memory alloy; state-dependent switching logic; stress loading; Capacitive sensors; Hysteresis; Logic; Reduced order systems; Shape control; Shape memory alloys; Structural beams; Thermal stresses; Thermodynamics; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.376726

Filename

4177908