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

被引：30
|
作者：
Ruocco, E. [1 ]
Zhang, H. [2 ]
Wang, C. M. [2 ]
机构：
[1] Univ Campania Luigi Vanvitelli, Dept Engn, Via Roma 28, I-81031 Aversa, Ce, Italy
[2] Univ Queensland, Sch Civil Engn, St Lucia, Qld 4072, Australia
来源：
APPLIED MATHEMATICAL MODELLING | 2018年 / 63卷
关键词：
Hencky bar chain; Finite difference method; Nonlocal FGM beam; Free vibration; Eringen Model; BOUNDARY-CONDITIONS; ELASTICITY; BEAMS; STRESS; COLUMNS; WAVES;
D O I：
10.1016/j.apm.2018.05.030
中图分类号：
T [工业技术];
学科分类号：
08 ;
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.
引用
收藏
页码：445 / 463
页数：19
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