MATHEMATICAL MODELING AND ANALYSIS OF A NOVEL SHAPE MEMORY ALLOY-ELASTOMER COMPOSITE ACTUATOR IN PLANE STEADY CONDITIONS

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TABANDEH N.; GHAZAVI A.; GHOMSHEI M.M.

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Journal: Year:2001 | Volume:35 | Issue:3 (73) Page(s): 269-282

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Title

MATHEMATICAL MODELING AND ANALYSIS OF A NOVEL SHAPE MEMORY ALLOY-ELASTOMER COMPOSITE ACTUATOR IN PLANE STEADY CONDITIONS

Author(s)

TABANDEH N. | GHAZAVI A. | GHOMSHEI M.M. | Issue Writer Certificate

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Abstract

SMA actuators are a new kind of force-displacement actuators which act based on the unique property of shape recovery of the shape memory alloys. In this paper a mathematical model is presented for approximate responses of a novel thermally driven SMA actuator under arbitrary loading and boundary conditions. The actuator is a laminated composite beam made of SMA and elastomer layers, with a hollow rectangular cross section. The actuator has the ability to act in three dimensions, but here, modeling is done only for the 2-D conditions. The thermomechanical behavior 0f SMA layers is expressed using Tanaka and Nagaki's one-dimensional constitutive equation, together with a linear phase transformation kinetics. The thermoplastic behavior of elastomer layers is expressed by Hooke's law, in which the changes of the elastic modulus with temperature, is considered using an approximate linear function. The general form of the classic beam equations is used for the force-deformation relationships. This model gives explicit solutions for the structural response of actuator, including midplane-strain and curvature, in terms of the variable parameters such as activation temperatures, the layers' thicknesses, ... etc. A numerical example for a cantilever beam with hollow square cross-section subjected to a transverse concentrated load is presented. Results show that when the phase transformation starts in the heated SMA layer, significant changes in the actuator's response occurs due to strain recovery in it.

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APA: Copy

TABANDEH, N., GHAZAVI, A., & GHOMSHEI, M.M.. (2001). MATHEMATICAL MODELING AND ANALYSIS OF A NOVEL SHAPE MEMORY ALLOY-ELASTOMER COMPOSITE ACTUATOR IN PLANE STEADY CONDITIONS. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), 35(3 (73)), 269-282. SID. https://sid.ir/paper/14076/en

Vancouver: Copy

TABANDEH N., GHAZAVI A., GHOMSHEI M.M.. MATHEMATICAL MODELING AND ANALYSIS OF A NOVEL SHAPE MEMORY ALLOY-ELASTOMER COMPOSITE ACTUATOR IN PLANE STEADY CONDITIONS. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN)[Internet]. 2001;35(3 (73)):269-282. Available from: https://sid.ir/paper/14076/en

IEEE: Copy

N. TABANDEH, A. GHAZAVI, and M.M. GHOMSHEI, “MATHEMATICAL MODELING AND ANALYSIS OF A NOVEL SHAPE MEMORY ALLOY-ELASTOMER COMPOSITE ACTUATOR IN PLANE STEADY CONDITIONS,” JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), vol. 35, no. 3 (73), pp. 269–282, 2001, [Online]. Available: https://sid.ir/paper/14076/en

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