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Dual-phase-lagging thermoelastic damping in-extensional vibration of rotating nano-ring

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Abstract

In this paper, the thermoelastic damping of the in-extensional vibration of rings is analyzed by dual-phase-lagging generalized thermoelasticity theory. In this work, the Q-factor for thermoelastic damping is derived. The effect of the ring radius and thickness, the rotating speed, mode numbers and ambient temperatures are discussed. This work represented that the lengths of the ring, the speed of the rotation and the relaxation times of the dual-phase-lagging have significant effects on the thermo-mechanical damping parameter.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Umm al-Qura University, Makkah, Saudi Arabia

    Najat A. Alghamdi

  2. Mechanics Department, Faculty of Engineering, Umm al-Qura University, Makkah, PO 5555, Saudi Arabia

    Hamdy M. Youssef

  3. Mathematics Department, Faculty of Education, Alexandria University, Alexandria, Egypt

    Hamdy M. Youssef

Authors
  1. Najat A. Alghamdi
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  2. Hamdy M. Youssef
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Correspondence to Najat A. Alghamdi.

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Alghamdi, N.A., Youssef, H.M. Dual-phase-lagging thermoelastic damping in-extensional vibration of rotating nano-ring. Microsyst Technol 23, 4333–4343 (2017). https://doi.org/10.1007/s00542-017-3294-z

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  • DOI: https://doi.org/10.1007/s00542-017-3294-z

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