Free vibrations of FG elastic Timoshenko nano-beams by strain gradient and stress-driven nonlocal models. (1st December 2018)

• Record Type: Journal Article
• Authors: Barretta, R.; Faghidian, S. Ali; Luciano, R.; Medaglia, C.M.; Penna, R.
• Is Part Of: Composites. Number 154(2018)
• Page Start: 20
• Page End: 32
• Publication Date: 2018-12-01
• Subjects: Timoshenko nano-beam -- Strain gradient elasticity -- Hellinger-Reissner variational principle -- Stress-driven nonlocal model -- FG materials -- Analytical modelling; Composite materials -- Periodicals; Materials science -- Periodicals; Composite materials; Periodicals; Electronic journals; 620.118
• DOI: 10.1016/j.compositesb.2018.07.036
• Languages: English
• ISSNs: 1359-8368

Abstract

Abstract: Size-dependent vibrational behavior of functionally graded (FG) Timoshenko nano-beams is investigated by strain gradient and stress-driven nonlocal integral theories of elasticity. Hellinger-Reissner's variational principle is preliminarily exploited to establish the equations governing the elastodynamic problem of FG strain gradient Timoshenko nano-beams. Differential and boundary conditions of dynamical equilibrium of FG Timoshenko nano-beams, with nonlocal behavior described by the stress-driven integral theory, are formulated. Free vibrational responses of simple structures of technical interest, associated with nonlocal stress-driven and strain gradient strategies, are analytically evaluated and compared in detail. The stress-driven nonlocal model for FG Timoshenko nano-beams provides an effective tool for dynamical analyses of stubby composite parts of Nano-Electro-Mechanical Systems.