Nonlocal DQM for Large Amplitude Vibration of Annular Boron Nitride Sheets on Nonlinear Elastic Medium

Subject Areas : Engineering

A Ghorbanpour Arani ¹ , R Kolahchi ² , S.M.R Allahyari ³

1 - Faculty of Mechanical Engineering, University of Kashan--- Institute of Nanoscience & Nanotechnology, University of Kashan,
2 - Faculty of Mechanical Engineering, University of Kashan
3 - Faculty of Mechanical Engineering, University of Kashan, Kashan

Received: 2014-06-02 Accepted : 2014-08-04 Published : 2014-12-30

Keywords: Nonlinear vibration, DQM, SLABNS, Nonlocal piezoelasticity theory, Nonlinear elastic medium,

Abstract :

One of the most promising materials in nanotechnology such as sensors, actuators and resonators is annular Boron Nitride sheets (ABNSs) due to excelled electro-thermo-mechanical properties. In this study, however, differential quadrature method (DQM) and nonlocal piezoelasticity theory are used to investigate the nonlinear vibration response of embedded single-layered annular Boron Nitride sheets (SLABNSs). The interactions between the SLABNSs and its surrounding elastic medium are simulated by nonlinear Pasternak foundation. A detailed parametric study is conducted to elucidate the influences of the nonlocal parameter, elastic medium, temperature change and maximum amplitude on the nonlinear frequency of the SLABNSs. Results indicate that with increasing nonlocal parameter, the frequency of the coupled system becomes lower. The results are in good agreement with the previous researches.

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