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Recursive Differentiation Method to Study the Nature of Carbon Nanobeams: A Numerical Approach

机译:递归分化方法研究碳纳米束的性质:一种数值方法

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This paper is concerned with the application of non-local elasticity theory to analyze the nature of carbon nanotubes/nanobeams embedded in an elastic medium. Winkler-type foundation is used as an elastic medium. The governing equations are investigated by finding the critical buckling load with aid of Recursive Differentiation Method. This method requires less computation time and thus the convergence is fast. The effects of small scale parameter and elastic foundation on buckling load are observed and outputs are plotted graphically. In addition, the accuracy of the present method is verified with the results available in literature.
机译:本文涉及非局部弹性理论的应用,分析弹性介质中嵌入的碳纳米管/纳米束的性质。 Winkler型基础用作弹性介质。通过递归分化法找到关键屈曲负荷来研究控制方程。该方法需要较少的计算时间,因此收敛是快速的。观察小规模参数和弹性基础对屈曲负荷的影响,并以图形方式绘制输出。此外,通过文献中可用的结果验证了本方法的准确性。

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