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A mathematical model for smart functionally graded beam integrated with shape memory alloy actuators

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Abstract

This paper presents a theoretical study of the thermally driven behavior of a shape memory alloy (SMA)/FGM actuator under arbitrary loading and boundary conditions by developing an integrated mathematical model. The model studied is established on the geometric parameters of the three-dimensional laminated composite box beam as an actuator that consists of a functionally graded core integrated with SMA actuator layers with a uniform rectangular cross section. The constitutive equation and linear phase transformation kinetics relations of SMA layers based on Tanaka and Nagaki model are coupled with the governing equation of the actuator to predict the stress history and to model the thermo-mechanical behavior of the smart shape memory alloy/FGM beam. Based on the classical laminated beam theory, the explicit solution to the structural response of the structure, including axial and lateral deflections of the structure, is investigated. As an example, a cantilever box beam subjected to a transverse concentrated load is solved numerically. It is found that the changes in the actuator’s responses during the phase transformation due to the strain recovery are significant.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, University of Tehran, Tehran, Iran

    H. Sepiani & F. Ebrahimi

  2. Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran

    H. Karimipour

Authors
  1. H. Sepiani
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  2. F. Ebrahimi
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  3. H. Karimipour
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Corresponding author

Correspondence to H. Sepiani.

Additional information

This paper was recommended for publication in revised form by Associate Editor Maenghyo Cho

Hossein Ali Sepiani received his B.S. in Mechanical Engineering from the University of Kashan, Iran, in 2003. He then received his M.S. degree from the University of Tehran, in 2006. Currently, Hossein is continuing his research at the University of Tehran. His research interests include new materials (FGMs, Nano-materials, SMAs, SMPs, etc.), composites (Woven Fabrics and Fiber Metal Laminates), smart materials (Shape Memory Alloy, Magnet/Electro-rheological and Piezoelectric Sensors and Actuators), intelligent structures (Structures integrated with smart materials), vibration and control of intelligent structures and their application.

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Sepiani, H., Ebrahimi, F. & Karimipour, H. A mathematical model for smart functionally graded beam integrated with shape memory alloy actuators. J Mech Sci Technol 23, 3179–3190 (2009). https://doi.org/10.1007/s12206-009-0919-x

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  • DOI: https://doi.org/10.1007/s12206-009-0919-x

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