Free Vibrations of a Micro/Nano Spherical Shell Based on ModifiedCouple Stress Theory
Publish Year: 1394
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
WMECH03_056
تاریخ نمایه سازی: 26 شهریور 1395
Abstract:
In small scale systems such as micro-electro-mechanics (MEMs) or nano-electro-mechanics (NEMs) systems, distance between atoms or molecules are mparable with the dimensions of the system. So, classical continuum theories are not applicable in analyzing such systems. Micro sphere and Fullerene (C60) are good examples of spherical low scale structures that are used in such devices. Therefore, many theories in different field such as MD (MolecularDynamic), strain gradient theory, non-local elasticity, couple stress theory etc. have been developed. In the paper, free vibrations of a micro/nano scale spherical shell are studied based on first order shear deformation theory and modified couple stress theory (MCST). MCST is one of the well-known theories among non-classical elasticity theories which can capture the size effect in the small scale investigation. In the literature governing equations of modified couple stress for spherical shells has been developed by using Hamilton’s principle. Equations have been solved by using a semianalytical method called GDQ (Generalized Differential Quadrature). Natural frequencies are exactly calculated and are validated by comparing them with MD simulation of C60. Also, the effects of changing different geometrical and scale parameters on natural frequencies are studied in this investigation. It is shown that scale parameter is the mosteffective parameter on the natural frequencies of the micro / nano sphere.
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Authors
Sh. Hosseini-Hashemi
Professor, Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
F Sharifpour
MSc. Student, Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
M. R. Ilkhani
Ph.D. Student, Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran