Vibration and buckling analyses of nanobeams embedded in an elastic medium

doi:10.1088/1674-1056/24/9/097305

摘要/Abstract

摘要：

Boundary characteristic orthogonal polynomials are used as shape functions in the Rayleigh-Ritz method to investigate vibration and buckling of nanobeams embedded in an elastic medium. The present formulation is based on the nonlocal Euler-Bernoulli beam theory. The eigen value equation is developed for the buckling and vibration analyses. The orthogonal property of these polynomials makes the computation easier with less computational effort. It is observed that the frequency and critical buckling load parameters are dependent on the temperature, elastic medium, small scale coefficient, and length-to-diameter ratio. These observations are useful in the mechanical design of devices that use carbon nanotubes.

关键词: Rayleigh-Ritz method, boundary characteristic orthogonal polynomials, nonlocal elasticity theory, Euler-Bernoulli beam theory

Abstract:

Key words: Rayleigh-Ritz method, boundary characteristic orthogonal polynomials, nonlocal elasticity theory, Euler-Bernoulli beam theory

中图分类号: (Nanotubes)

73.63.Fg

65.80.-g (Thermal properties of small particles, nanocrystals, nanotubes, and other related systems) 66.70.Lm (Other systems such as ionic crystals, molecular crystals, nanotubes,etc.) 02.60.-x (Numerical approximation and analysis)

S Chakraverty, Laxmi Behera. Vibration and buckling analyses of nanobeams embedded in an elastic medium[J]. 中国物理B, 2015, 24(9): 97305-097305.

S Chakraverty, Laxmi Behera. Vibration and buckling analyses of nanobeams embedded in an elastic medium[J]. Chin. Phys. B, 2015, 24(9): 97305-097305.

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