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Apuzzo, A., Barretta, R., Fabbrocino, F., Faghidian, S., Luciano, R., Marotti de Sciarra, F. (2018). Axial and torsional free vibrations of elastic nano-beams by stress-driven two-phase elasticity. Journal of Applied and Computational Mechanics, (), -. doi: 10.22055/jacm.2018.26552.1338
Andrea Apuzzo; Raffaele Barretta; Francesco Fabbrocino; S. Ali Faghidian; Raimondo Luciano; Francesco Marotti de Sciarra. "Axial and torsional free vibrations of elastic nano-beams by stress-driven two-phase elasticity". Journal of Applied and Computational Mechanics, , , 2018, -. doi: 10.22055/jacm.2018.26552.1338
Apuzzo, A., Barretta, R., Fabbrocino, F., Faghidian, S., Luciano, R., Marotti de Sciarra, F. (2018). 'Axial and torsional free vibrations of elastic nano-beams by stress-driven two-phase elasticity', Journal of Applied and Computational Mechanics, (), pp. -. doi: 10.22055/jacm.2018.26552.1338
Apuzzo, A., Barretta, R., Fabbrocino, F., Faghidian, S., Luciano, R., Marotti de Sciarra, F. Axial and torsional free vibrations of elastic nano-beams by stress-driven two-phase elasticity. Journal of Applied and Computational Mechanics, 2018; (): -. doi: 10.22055/jacm.2018.26552.1338

Axial and torsional free vibrations of elastic nano-beams by stress-driven two-phase elasticity

Articles in Press, Accepted Manuscript , Available Online from 16 October 2018  XML
Document Type: Research Paper
DOI: 10.22055/jacm.2018.26552.1338
Authors
Andrea Apuzzo1; Raffaele Barretta 2; Francesco Fabbrocino3; S. Ali Faghidianorcid 4; Raimondo Luciano1; Francesco Marotti de Sciarra2
1Department of Civil and Mechanical Engineering, University of Cassino and Southern Lazio, via G. Di Biasio 43, 03043 Cassino (FR) Italy
2Department of Structures for Engineering and Architecture, University of Naples Federico II, via Claudio 21, 80125 Naples, Italy
3Department of Engineering, Telematic University Pegaso, Piazza Trieste e Trento 48, 80132, Naples, Italy
4Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Abstract
Size-dependent longitudinal and torsional vibrations of nano-beams are examined by two-phase mixture integral elasticity. A new and efficient elastodynamic model is conceived by convexly combining the local phase with strain- and stress-driven purely nonlocal phases. The proposed stress-driven nonlocal integral mixture leads to well-posed structural problems for any value of the scale parameter. Effectiveness of stress-driven mixture is illustrated by analyzing axial and torsional free vibrations of cantilever and doubly clamped nano-beams. The local/nonlocal integral mixture is conveniently replaced with an equivalent differential law equipped with higher-order constitutive boundary conditions. Exact solutions of fundamental natural frequencies associated with strain- and stress-driven mixtures are evaluated and compared with counterpart results obtained by strain gradient elasticity theory. The provided new numerical benchmarks can be effectively employed for modelling and design of Nano-Electro-Mechanical-Systems (NEMS).
Keywords
Free vibrations; nonlocal integral elasticity; nano-beams; Hellinger-Reissner variational principle; analytical modelling
Main Subjects
Applied Mathematics
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