Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads

被引：1

作者：

Robinson, Mouafo Teifouet Armand ^{[1
]}

Adali, Sarp ^{[2
]}

机构：

[1] Univ Dschang, Dept Phys, Dschang, Cameroon

[2] Univ KwaZulu Natal, Discipline Mech Engn, Durban, South Africa

来源：

MECHANICAL SCIENCES | 2019年 / 10卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

TIMOSHENKO NANOBEAMS; VIBRATION; MODELS; EULER;

D O I：

10.5194/ms-10-145-2019

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Buckling of elastically restrained carbon nanotubes is studied subject to a combination of uniformly distributed and concentrated compressive loads. Governing equations are based on the nonlocal model of carbon nanotubes. Weak formulation of the problem is formulated and the Rayleigh quotients are obtained for distributed and concentrated axial loads. Numerical solutions are obtained by Rayleigh-Ritz method using orthogonal Chebyshev polynomials. The method of solution is verified by checking against results available in the literature. The effect of the elastic restraints on the buckling load is studied by counter plots in term of small-scale parameter and the spring constants.

引用

页码：145 / 152

页数：8

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