On thermodynamic active control of shape memory alloy wires

被引：1

作者：

Klouek, P

Reynolds, DR

Seidman, TI

机构：

[1] Rice Univ, Dept Computat & Appl Math, Houston, TX 77005 USA

[2] Univ Maryland Baltimore Cty, Dept Math & Stat, Baltimore, MD 21250 USA

来源：

SYSTEMS & CONTROL LETTERS | 2003年 / 48卷 / 3-4期

关键词：

microstructures; dynamic control; generalized control; degenerate wave equation;

D O I：

10.1016/S0167-6911(02)00266-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We propose a model for the control of high-frequency oscillations in shape memory alloy wires. We introduce a notion of generalized solution for a generalized control and in this context prove a local exact controllability result effectively corresponding to an approximate controllability result for the nonconvex pseudoelastic material system. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：211 / 219

页数：9

共 21 条

[1] ON THE DRIVING TRACTION ACTING ON A SURFACE OF STRAIN DISCONTINUITY IN A CONTINUUM [J].

ABEYARATNE, R ;

KNOWLES, JK .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1990, 38 (03) :345-360

[2] IMPLICATIONS OF VISCOSITY AND STRAIN-GRADIENT EFFECTS FOR THE KINETICS OF PROPAGATING PHASE BOUNDARIES IN SOLIDS [J].

ABEYARATNE, R ;

KNOWLES, JK .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1991, 51 (05) :1205-1221

[3]

ABEYARATNE R, IN PRESS EVOLUTION P

[4]

ABEYARATNE R, 1992, IMA PREPRINT SERIES, V1044

[5] ASYMPTOTIC-BEHAVIOR AND CHANGES OF PHASE IN ONE-DIMENSIONAL NON-LINEAR VISCOELASTICITY [J].

ANDREWS, G .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1982, 44 (02) :306-341

[6] Quasilinear hyperbolic-parabolic equations of one-dimensional viscoelasticity [J].

Antman, SS ;

Seidman, TI .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 124 (01) :132-185

[7] Physically unacceptable viscous stresses [J].

Antman, SS .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1998, 49 (06) :980-988

[8]

ANTMAN SS, IN PRESS ARCH RATION

[9]

Ball J. M., 1991, J. Nonlinear Sci., V1, P17, DOI [10.1007/BF01209147, DOI 10.1007/BF01209147]

[10] Localized and diffuse thermoinduced phase transformation in 1-D shape memory alloys [J].

Bekker, A ;

Brinson, LC ;

Issen, K .

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 1998, 9 (05) :355-365

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