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Buckling and vibration analysis of nonlocal axially functionally graded nanobeams based on Hencky-bar chain model

机译：基于Hencky-bar链模型的非局部轴向功能梯度纳米束的屈曲和振动分析

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摘要

Buckling and free vibration analyses of nonlocal axially functionally graded Euler nanobeams is the main objective of this paper. Due to its simplicity, the Eringen's differential constitutive model is adopted for describing the nonlocal size dependency of nanostructure beam. The nonlocal equilibrium equation is derived using the principle of the minimum potential energy principle, and discretized by using the link-spring model known in literature as Hencky bar-chain model. The general applicability of the proposed approach allows analyses of functional graded microbeams without any restriction on variability, boundary and loading conditions. A comparison with results available in the literature shows the reliability of the method. (C) 2018 Elsevier Inc. All rights reserved.
机译：本文的主要目的是对非局部轴向功能梯度的Euler纳米束进行屈曲和自由振动分析。由于其简单性，采用艾林根微分本构模型来描述纳米结构束的非局部尺寸依赖性。使用最小势能原理原理导出非局部平衡方程，并使用文献中称为Hencky条形链模型的链接弹簧模型将其离散化。所提出方法的一般适用性允许对功能梯度微束进行分析，而对可变性，边界和加载条件没有任何限制。与文献中可用结果的比较表明了该方法的可靠性。 （C）2018 Elsevier Inc.保留所有权利。

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