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Study of vibrations in micro-scale piezothermoelastic beam resonator utilising modified couple stress theory

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Abstract

This paper deals with the study of vibrations in piezothermoelastic microbeam resonator using modified couple stress theory. The closed form expressions for deflection, electric potential and temperature distribution for the beam have been derived. The solution is presented under clamped-free boundary condition. Analytical expressions for thermoelastic damping, frequency shift and attenuation are obtained and effects of electric potential, thermal relaxation time, temperature, beam dimensions and couple stress have been depicted graphically. The numerical results are presented with the help of MATLAB programming software in case of a lead zirconate titanate (PZT)-5A material.

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Acknowledgements

One of the authors (Arti) is thankful to University Grants Commission (UGC) for sanctioning SRF scholarship. The authors are also thankful to the unknown reviewers.

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  1. Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, 131039, India

    Ravinder Kumar Sahrawat, Arti Duhan & Krishan Kumar

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  1. Ravinder Kumar Sahrawat
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Sahrawat, R.K., Duhan, A. & Kumar, K. Study of vibrations in micro-scale piezothermoelastic beam resonator utilising modified couple stress theory. Acta Mech 234, 3557–3573 (2023). https://doi.org/10.1007/s00707-023-03575-6

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