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 dif- ferential 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 vari- ability, boundary and loading conditions. A comparison with results available in the litera- ture shows the reliability of the method

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

E. Ruocco
;
2018

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 dif- ferential 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 vari- ability, boundary and loading conditions. A comparison with results available in the litera- ture shows the reliability of the method
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/393615
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