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首页> 外文期刊>International journal of structural stability and dynamics >Beam Buckling Analysis by Nonlocal Integral Elasticity Finite Element Method
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Beam Buckling Analysis by Nonlocal Integral Elasticity Finite Element Method

机译：非局部积分弹性有限元法的梁屈曲分析

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摘要

In this study, a finite element method (FEM) based on the size dependent nonlocal integral elasticity theory is implemented for buckling analysis of nanoscaled beams with various boundary conditions. The method is based on the principle of total potential energy. The variations of buckling load with respect to the scaling effect parameter and to the length-to-thickness ratio are investigated. Furthermore, the effect of attenuation function type on the buckling load is examined. The results are compared with the corresponding solutions of governing stability equations which are derived in the context of nonlocal differential elasticity theory. It is found that the small scale coefficient has a noticeable effect on the buckling load of nanobeams.
机译：在这项研究中，基于尺寸依赖性非局部积分弹性理论的有限元方法（FEM）被实现用于具有各种边界条件的纳米级梁的屈曲分析。该方法基于总势能原理。研究了屈曲载荷相对于比例效应参数和长度/厚度比的变化。此外，研究了衰减函数类型对屈曲载荷的影响。将结果与在非局部微分弹性理论的背景下得出的控制稳定性方程的相应解进行比较。发现小比例系数对纳米束的屈曲载荷具有显着影响。

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