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Optimal design of robust piezoelectric microgrippers undergoing large displacements

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Abstract

Topology optimization combined with optimal design of electrodes is used to design piezoelectric microgrippers. Fabrication at micro-scale presents an important challenge: due to non-symmetrical lamination of the structures, out-of-plane bending spoils the behavior of the grippers. Suppression of this out-of-plane deformation is the main novelty introduced in this work. In addition, a robust approach is used to control length scale in the whole domain and to reduce sensitivity of the design to small fabrication errors. Geometrically non-linear modeling is used for the in-plane deformations whereas out-of-plane motions are modeled by a linear, un-coupled plate model to save computational time. Model and resulting designs are validated by subsequent 3D geometrically non-linear modeling.

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Acknowledgements

The work of David Ruiz has been funded through grant MTM2013-47053-P from the Spanish Ministerio de Economía y Competitividad. The work of Ole Sigmund has been supported by the Sapere Aude research project ‘TOpTEn’ (Topology Optimization of Thermal ENergy systems) from the Danish Council for Independent Research, grant: DFF-4005-00320.

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Authors and Affiliations

  1. Departamento de Matemáticas, ETSII, Universidad de Castilla-La Mancha, 13071, Ciudad Real, Spain

    D. Ruiz

  2. Department of Mechanical Engineering, Technical University of Denmark, 2800, Kongens Lyngby, Denmark

    O. Sigmund

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  1. D. Ruiz
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  2. O. Sigmund
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Correspondence to D. Ruiz.

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Ruiz, D., Sigmund, O. Optimal design of robust piezoelectric microgrippers undergoing large displacements. Struct Multidisc Optim 57, 71–82 (2018). https://doi.org/10.1007/s00158-017-1863-5

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  • DOI: https://doi.org/10.1007/s00158-017-1863-5

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