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Topology optimum design of unimorph piezoelectric cantilevered Mindlin plates as a vibrating electric harvester

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Abstract

An FEM-based topology optimization approach is proposed to calculate the topologies of a substrate plate and a piezoelectric layer used for vibrating unimorph cantilevered plate-like electricity generators (energy harvesters). The Mindlin plate theory was combined with a topology optimization algorithm to consider the shear effect. Each optimum topology for a plate and a piezoelectric layer is computed and combined by reflecting the natural frequencies of the substrate plate, electromechanical couplings of piezoelectric materials, tip masses and method of moving asymptotes. The piezoelectric coefficients such as elasticity, piezoelectric coupling and capacitance are interpolated by element density variables. The cantilevered plate generators with optimal topologies were designed for three piezoelectric materials such as PZT, PMN-PT and PMN-PT single crystal fiber MFC, and their voltage outputs were compared using a developed FEM-based optimization code to investigate the suitable material for harvesters.

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Authors and Affiliations

  1. School of Mechanical Engineering, Kyungpook National University, Daegu, 702-701, Korea

    Cheol Kim

  2. R & D Center, Hyundai Heavy Industries Electro Electric Systems, Gyeonggi-Do, 446-912, Korea

    Jinwoo Lee

Authors
  1. Cheol Kim
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  2. Jinwoo Lee
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Correspondence to Cheol Kim.

Additional information

Recommended by Associate Editor Gang-Won Jang

Cheol Kim received a B.S. degree in Mechanical Engineering from Yonsei University in 1985, his M.S. from Georgia Institute of Technology in 1989 and Ph.D. from the University of Illinois at Urbana-Champaign, USA, in 1994. He is currently a professor at the School of Mechanical Engineering at Kyungpook National University (KNU) in Daegu, Korea. His research interests include design optimization with smart materials, analysis of strength and structural vibration, and automotive battery materials.

Jinwoo Lee is currently a researcher in Hyundai Heavy Industries R&D Center. He received his B.S. and M.S. degrees in 2011 and 2013 respectively, from Kyungpook National University.

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Kim, C., Lee, J. Topology optimum design of unimorph piezoelectric cantilevered Mindlin plates as a vibrating electric harvester. J MECH SCI TECHNOL 28, 4131–4138 (2014). https://doi.org/10.1007/s12206-014-0925-5

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  • DOI: https://doi.org/10.1007/s12206-014-0925-5

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