Nonlinear dynamic stability of piezoelectric thermoelastic electromechanical resonators

SoltanRezaee, M. and Bodaghi, M. ORCID: 0000-0002-0707-944X, 2020. Nonlinear dynamic stability of piezoelectric thermoelastic electromechanical resonators. Scientific Reports, 10: 2982. ISSN 2045-2322

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Abstract

This research work deals with analyzing instability and nonlinear behaviors of piezoelectric thermal nano-bridges. An adjustable thermo-elastic model with the ability to control stability conditions is developed to examine the system behavior at different temperatures. To increase the performance range and improve system characteristics, a piezovoltage is applied and a spring is connected to the sliding end of the deformable beam as design parameters. The partial differential equations (PDEs) are derived using the extended Hamilton’s principle and Galerkin decomposition is implemented to discretize the nonlinear equations, which are solved via a computational method called the step-by-step linearization method (SSLM). To improve the accuracy of the solution, the number of mode shapes and the size of voltage increments are analyzed and sufficient values are employed in the solution. The validity of the formulation and solution method is verified with experimental, analytical, and numerical data for several cases. Finally, the vibration and eigenvalue problem of the actuated nano-manipulator subjected to electrostatic and Casimir attractions are investigated. It is concluded that the fringing-fields correction changes the system frequency, static equilibrium, and pull-in characteristics significantly. The results are expected to be instrumental in the analysis, design, and operation of numerous adjustable advanced nano-systems.

Item Type: Journal article
Publication Title: Scientific Reports
Creators: SoltanRezaee, M. and Bodaghi, M.
Publisher: Springer Nature
Date: 19 February 2020
Volume: 10
ISSN: 2045-2322
Identifiers:
NumberType
10.1038/s41598-020-59836-0DOI
1295035Other
Rights: © the author(s) 2020. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
Divisions: Schools > School of Science and Technology
Record created by: Linda Sullivan
Date Added: 21 Feb 2020 10:13
Last Modified: 17 Mar 2020 16:25
URI: https://irep.ntu.ac.uk/id/eprint/39246

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