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Control of thermoelastic deformation in a smart composite disk by a stepwise applied electric potential distribution

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Summary

This paper deals with a smart composite disk for control of a thermoelastic deformation resulting from an unknown thermal load. The disk consists of a structural layer onto which piezoelectric sensor and actuator layers are bonded. First, an unknown heating temperature distribution is inferred from a sensor output. The thermoelastic displacement on the bottom free surface is then controlled by applying electric potentials to electrodes on the actuator layers. For a composite disk with one actuator layer, applied electric potentials are determined by solving a direct optimization problem with and without stress constraints, respectively. The introduction of the stress constraints leads to a deterioration in the effectiveness of the displacement control. In order to resolve this issue, an approximate optimum design problem of a composite disk with two actuator layers is solved under stress constraints. As a result, the thermoelastic displacement is satisfactorily controlled to the desired distribution.

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Authors and Affiliations

  1. Department of Electronic and Control Systems Engineering, Shimane University, Matsue, Shimane, Japan

    F. Ashida & S.-I. Sakata

  2. Department of Mechanical Engineering, University of Kentucky, 263 R.G. Anderson Building, Lexington, KY, 40506-0503, USA

    T. R. Tauchert

  3. Research and Development Center, Sumitomo Heavy Industries, LTD, Yokosuka, Kanagawa, Japan

    S. Yoshida

Authors
  1. F. Ashida
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  2. T. R. Tauchert
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  3. S.-I. Sakata
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  4. S. Yoshida
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Corresponding author

Correspondence to T. R. Tauchert.

Additional information

Dedicated to Professor Franz Ziegler on the occasion of his 70th birthday

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Ashida, F., Tauchert, T.R., Sakata, SI. et al. Control of thermoelastic deformation in a smart composite disk by a stepwise applied electric potential distribution. Acta Mech 195, 13–26 (2008). https://doi.org/10.1007/s00707-007-0493-1

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  • DOI: https://doi.org/10.1007/s00707-007-0493-1

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