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Non-local approach to free vibrations and buckling problems for cylindrical nano-structures

机译：圆柱形纳米结构的非本地自由振动方法和屈曲问题

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摘要

Non-local higher order free vibration and buckling analysis of a cylindrical nano-shell is studied in this paper based on non-local 3D elasticity theory and third order shear deformation theory proposed by Prof. J.N. Reddy. One can conclude that combination of important theories such as Reddy's shear deformation theory and non local Tiersten-Mindlin's theory to a more complicated structure such as cylindrical nano-structures results in an important and novel work in context of structural mechanics. The governing equations of non-local elastic bending are reduced to one linear homogeneous differential equation for simply-supported boundary conditions. In the strain or stress non-local problems different physical formulations have different effects on the searched values, understood in the sense of weakening or enhancement the buckling/vibration results in comparison with the classical global approach.
机译：本文基于J.N.教授提出的非局部3D弹性理论和三阶剪切变形理论，研究了圆柱形纳米壳的非本地更高阶的自由振动和屈曲分析。 reddy。人们可以得出结论，重要的理论中的结合，如雷迪的剪切变形理论和非本地泰国思维 - 思维理论，以更加复杂的结构，如圆柱形纳米结构导致结构力学背景下的重要和新的工作。非局部弹性弯曲的控制方程减小到用于简单地支持的边界条件的一个线性均匀微分方程。在应变或应力非局部问题中，不同的物理配方对搜索值不同，理解在弱化或增强的感觉中，屈曲/振动导致与经典的全球方法相比。

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