期刊
APPLIED MATHEMATICAL MODELLING
卷 63, 期 -, 页码 445-463出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2018.05.030
关键词
Hencky bar chain; Finite difference method; Nonlocal FGM beam; Free vibration; Eringen Model
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.
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