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Modified continuum model for stability analysis of asymmetric FGM double-sided NEMS: Corrections due to finite conductivity,surface energy and nonlocal effect
Affiliation:1. Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Iran;2. Shahrekord University of Medical Sciences, Shahrekord, Iran;3. Shahrekord Branch, Islamic Azad University, Shahrekord, Iran;1. Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, University of New South Wales, Sydney 2052, Australia;2. Cooperative Research Centre for Advanced Composite Structures, 1/320 Lorimer Street, Port Melbourne, Victoria, Australia;1. SAGA Light Source, 8-7 Yayoigaoka, Tosu, Saga 841-0005, Japan;2. National Research Tomsk Polytechnic University, Tomsk, Russia;1. State Key Laboratory for Mechanical Structure Strength and Vibration, School of Aerospace, Xi''an Jiaotong University, Xi''an 710049, PR China;2. Department of Mechanical Engineering, Inha University, Inchon 402-751, South Korea;1. Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran;2. Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, P.O. Box 1616, Lahijan, Iran
Abstract:Finite conductivity, surface energy and nonlocal effect can influence the electromechanical performance of micro/nano-electromechanical systems (MEMS/NEMS). However, these factors are yet ignored on stability analysis of MEMS/NEMS fabricated from functionally graded materials (FGM). In this paper, dynamic stability of double-sided NEMS fabricated from non-symmetric FGM is investigated incorporating finite conductivity, surface energy and nonlocal effect. The Gurtin–Murdoch model and Eringen's elasticity are employed to consider the surface energy and nonlocal effect, respectively. Effect of finite conductivity of FGM on electrostatic and Casimir attractions is incorporated via relative permittivity and plasma frequency of the material. The stability analysis of the nanostructure is conducted by plotting time history and phase portraits. Moreover, bifurcation analysis is conducted to investigate the stability of the fixed points of the nano-structure. The validity of the proposed model is examined by comparing the results of the present study with those reported in the literature. The impact of various parameters i.e. finite conductivity, nonlocal parameter, surface stresses and material characteristics on the dynamic instability of the NEMS are addressed.
Keywords:C. Micro-mechanics  A. Nano-structures  B. Vibration
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