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

E. Ruocco; H. Zhang; C. M. Wang

doi:10.1016/j.apm.2018.05.030

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

E. Ruocco^*, H. Zhang, C. M. Wang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	445-463
Number of pages	19
Journal	Applied Mathematical Modelling
Volume	63
DOIs	https://doi.org/10.1016/j.apm.2018.05.030
Publication status	Published - Nov 2018
Externally published	Yes

Keywords

Eringen Model
Finite difference method
Free vibration
Hencky bar chain
Nonlocal FGM beam

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10.1016/j.apm.2018.05.030

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

abstract = "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.",

keywords = "Eringen Model, Finite difference method, Free vibration, Hencky bar chain, Nonlocal FGM beam",

author = "E. Ruocco and H. Zhang and Wang, {C. M.}",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2018",

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doi = "10.1016/j.apm.2018.05.030",

language = "English",

volume = "63",

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T1 - Buckling and vibration analysis of nonlocal axially functionally graded nanobeams based on Hencky-bar chain model

AU - Ruocco, E.

AU - Zhang, H.

AU - Wang, C. M.

PY - 2018/11

Y1 - 2018/11

N2 - 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.

AB - 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.

KW - Eringen Model

KW - Finite difference method

KW - Free vibration

KW - Hencky bar chain

KW - Nonlocal FGM beam

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DO - 10.1016/j.apm.2018.05.030

M3 - Article

AN - SCOPUS:85050109631

SN - 0307-904X

VL - 63

SP - 445

EP - 463

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

ER -

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

Abstract

Keywords

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