Geometrical Dimensional Effect on Natural Frequency of Single Layer Graphene in Armchair Configuration

Harshad Patel
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Abstract

Graphene has remarkable strength, such as yield strength and elasticconstant. The dynamic behaviour of graphene sheet is affected bygeometrical variation in atomic arrangement. This paper introducedgraphene with armchair atomic structure for estimating fundamental naturalfrequencies. The presented analysis can be useful for the possible highfrequency nanomechanical resonator systems. The analytical formulation,based on classical plate theory and continuum solid modelling based finiteelement method have been performed for estimation of fundamental naturalfrequencies of single layer graphene sheet (SGLS) with different boundaryconditions. The free edge and clamped edge boundary conditions have beenconsidered. For simplifying analytical formulations, Blevins approach fordynamic solution has been adopted and for validating analytical results.The finite element analysis of SLGS has been performed using ANSYSsoftware. The effect of variation in geometrical parameters in terms ofwidth and length of SLGS has been analysed for realization of ultra-highfrequency based nanomechanical resonator systems
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几何尺寸对扶手椅结构单层石墨烯固有频率的影响
石墨烯具有显著的屈服强度和弹性常数。石墨烯薄膜的动力学行为受原子排列的几何变化的影响。本文介绍了具有扶手椅原子结构的石墨烯用于估计基本固有频率。本文的分析对可能的高频纳米机械谐振系统具有一定的指导意义。基于经典平板理论和基于连续体模型的有限元方法,推导了不同边界条件下单层石墨烯片的基本固有频率的解析公式。考虑了自由边和固支边边界条件。为了简化分析公式,采用了布莱文斯的动态求解方法,并对分析结果进行了验证。利用ansys软件对SLGS进行了有限元分析。分析了SLGS宽度和长度等几何参数变化对实现超高频纳米机械谐振系统的影响
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期刊介绍: The scopes of the journal include, but are not limited to, the following topics: • Thermal Engineering and Fluids Engineering • Mechanics • Kinematics, Dynamics, & Control of Mechanical Systems • Mechatronics, Robotics and Automation • Design, Manufacturing, & Product Development • Human and Machine Haptics Specific topics of interest include: Advanced Manufacturing Technology, Analysis and Decision of Industry & Manufacturing System, Applied Mechanics, Biomechanics, CAD/CAM Integration Technology, Complex Curve Design, Manufacturing & Application, Computational Mechanics, Computer-aided Geometric Design & Simulation, Fluid Dynamics, Fluid Mechanics, General mechanics, Geomechanics, Industrial Application of CAD, Machinery and Machine Design, Machine Vision and Learning, Material Science and Processing, Mechanical Power Engineering, Mechatronics and Robotics, Artificial Intelligence, PC Guided Design and Manufacture, Precision Manufacturing & Measurement, Precision Mechanics, Production Technology, Quality & Reliability Engineering, Renewable Energy Technologies, Science and Engineering Computing, Solid Mechanics, Structural Dynamics, System Dynamics and Simulation, Systems Science and Systems Engineering, Vehicle Dynamic Performance Simulation, Virtual-tech Based System & Process-simulation, etc.
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