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Nonlocal piezoelasticity based wave propagation of bonded double-piezoelectric nanobeam-systems

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Abstract

Piezoelectric nanobeam (PNB) offer the possibility of being used in micro-electromechanical systems and nano-electromechanical systems and the dynamic testing of such structures often produces stress wave propagation in them. This work concerns with the size-dependent wave propagation of double-piezoelectric nanobeam-systems (DPNBSs) based on Euler–Bernoulli beam model. The two piezoelectric nanobeams are coupled by an enclosing elastic medium which is simulated by Pasternak foundation. Nonlocal piezoelasticity theory is used to derive the general differential equation based on Hamilton’s principal to include those scale effects. Particular attention is paid to the wave propagation piezoelectric control of the coupled system in three cases namely in-phase wave propagation, out-of-phase wave propagation and wave propagation when one PNB is stationary. In three mentioned cases, an analytical method is proposed to obtain phase velocity; cut-off and escape frequencies of the DPNBSs. Results indicate that the imposed external voltage is an effective controlling parameter for wave propagation of the coupled system. Furthermore, the phase velocity of in-phase wave propagation is independent of elastic medium stiffness.

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Acknowledgments

The authors are grateful to University of Kashan for supporting this work by Grant No. 65475/64. They would like also to thank the Iranian Nanotechnology Development Committee for their financial support.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

    A. Ghorbanpour Arani, R. Kolahchi & S. A. Mortazavi

  2. Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran

    A. Ghorbanpour Arani

Authors
  1. A. Ghorbanpour Arani
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  2. R. Kolahchi
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  3. S. A. Mortazavi
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Correspondence to A. Ghorbanpour Arani.

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Ghorbanpour Arani, A., Kolahchi, R. & Mortazavi, S.A. Nonlocal piezoelasticity based wave propagation of bonded double-piezoelectric nanobeam-systems. Int J Mech Mater Des 10, 179–191 (2014). https://doi.org/10.1007/s10999-014-9239-0

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  • DOI: https://doi.org/10.1007/s10999-014-9239-0

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