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Size-dependent dynamics of a FG Nanobeam near nonlinear resonances induced by heat

Ilgar Jafarsadeghi-Pournaki, Saber Azizi, Mohammadreza Zamanzadeh, Hadi Madinei Orcid Logo, Rasoul Shabani, Ghader Rezazadeh

Applied Mathematical Modelling, Volume: 86, Pages: 349 - 367

Swansea University Author: Hadi Madinei Orcid Logo

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DOI (Published version): 10.1016/j.apm.2020.05.011

Abstract

This study explores heat-induced nonlinear vibration of a functionally graded (FG) capacitive nanobeam within the framework of nonlocal strain gradient theory (NLSGT). The elastic FG beam, which is firstly deflected by a DC voltage, is driven to vibrate about its deflected position by a periodic hea...

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Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa55162
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Abstract: This study explores heat-induced nonlinear vibration of a functionally graded (FG) capacitive nanobeam within the framework of nonlocal strain gradient theory (NLSGT). The elastic FG beam, which is firstly deflected by a DC voltage, is driven to vibrate about its deflected position by a periodic heat load. The nano-structure, which consists of a clamped-clamped nanobeam, is modeled assuming Euler–Bernoulli beam assumption which accounts for the nonlinear von-Karman strain and the electrostatic and intermolecular forcing. To simulate the static and dynamic responses, a model reduction procedure is carried out by employing the Galerkin method. The method of Averaging as a regular semi-analytic perturbation method is applied to obtain governing equations of the steady-state responses. With the purpose of establishing the validity of the solution, a Shooting technique in conjunction with the Floquet theory is used to capture the periodic motions and then examine their stability. The nonlinear resonance frequency of the FG nanobeam near its fundamental natural frequency (primary resonance) and near principal parametric resonance is investigated while the emphasis is placed on studying the effect of various parameters including DC voltage, amplitude of the periodic heat source, material index, damping ratio, and small scale parameters. The main objective of this study is to model a miniature structure which can be used as either a sensitive remote temperature sensor or a high-efficiency thermal energy harvester.
Keywords: Nonlinear dynamics, Primary resonance, Principal parametric resonance, NEMS, Nonlocal strain gradient theory
College: Professional Services
Start Page: 349
End Page: 367

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