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Dynamic stability of smart sandwich nanotubes based on modified couple stress theory using differential quadrature method (DQM)

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Abstract

In this paper, dynamic stability of a smart sandwich nanotube is investigated. The core of the nanostructure is made from a single-walled carbon nanotube (SWCNT), which is coated with two ZnO piezoelectric layers. The inner piezoelectric layer is taken as a sensor and the outer layer as an actuator. The sandwich nanotube is embedded in an elastic visco-Pasternak medium. The modified couple stress theory is utilized to consider the small-scale effect, and the Kelvin-Voigt model is used to model the carbon nanotube and the ZnO layers. The surface tension is taken into account using the Gurtin–Murdoch theory. The nonlinear governing equations, derived by the Hamilton principle, are solved using differential quadrature method (DQM), to investigate dynamic stability range, and to calculate natural frequencies. The results of this study are compared against existing similar data in the literature, presented for some simpler cases. Then, the effect of various parameters, including the small scale parameter, the ratio of piezoelectric layer thickness to nanotube thickness, surface stresses, the visco-elastic foundation effect, the magnetic field effect, and the electrical polarity are scrutinized on the system dynamic stability range. The results indicate that consideration of the small scale can reduce the transverse displacement and frequency while increasing the thickness of the piezoelectric layer leads to a higher frequency. Moreover, incorporating the surface stresses into the model can increase the stability. Using the modified couple stress theory can be considered the main novelty of this paper.

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author upon reasonable request.

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Funding

Isfahan University of Technology.

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Authors and Affiliations

  1. Mechanical Engineering Group, Pardis College, Isfahan University of Technology, Isfahan, 84156-83111, Islamic Republic of Iran

    Hamidreza Nasiri-Khouzani & Ahmad Farrokhian

  2. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Islamic Republic of Iran

    Mehdi Salmani-Tehrani

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  1. Hamidreza Nasiri-Khouzani
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Correspondence to Mehdi Salmani-Tehrani.

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All authors have participated in (a) conception and design, analysis, and interpretation of the data; (b) drafting the article or revising it critically for important intellectual content; and (c) approval of the final version. This manuscript has not been submitted to, nor is it under review at, another journal or other publishing venue. The authors have no affiliation with any organization with a direct or indirect financial interest in the subject matter discussed in the manuscript. The following authors have affiliations with organizations with a direct or indirect financial interest in the subject matter discussed in the manuscript.

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Nasiri-Khouzani, H., Salmani-Tehrani, M. & Farrokhian, A. Dynamic stability of smart sandwich nanotubes based on modified couple stress theory using differential quadrature method (DQM). Acta Mech 234, 5147–5170 (2023). https://doi.org/10.1007/s00707-023-03654-8

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