Size-dependent dynamic responses of small-size frames are modelled by stress-driven nonlocal elasticity and assessed by a consistent finite-element methodology. Starting from uncoupled axial and bending differential equations, the exact dynamic stiffness matrix of a two-node stress-driven nonlocal beam element is evaluated in a closed form. The relevant global dynamic stiffness matrix of an arbitrarily-shaped small-size frame, where every member is made of a single element, is built by a standard finite-element assembly procedure. The Wittrick–Williams algorithm is applied to calculate natural frequencies and modes. The developed methodology, exploiting the one conceived for straight beams in [International Journal of Engineering Science 115, 14–27 (2017)], is suitable for investigating free vibrations of small-size systems of current applicative interest in Nano-Engineering, such as carbon nanotube networks and polymer-metal micro-trusses.

On the dynamics of nano-frames / Russillo, A. F.; Failla, G.; Alotta, G.; Marotti de Sciarra, F.; Barretta, R.. - In: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE. - ISSN 0020-7225. - 160:(2021), p. 103433. [10.1016/j.ijengsci.2020.103433]

On the dynamics of nano-frames

Marotti de Sciarra F.;Barretta R.
2021

Abstract

Size-dependent dynamic responses of small-size frames are modelled by stress-driven nonlocal elasticity and assessed by a consistent finite-element methodology. Starting from uncoupled axial and bending differential equations, the exact dynamic stiffness matrix of a two-node stress-driven nonlocal beam element is evaluated in a closed form. The relevant global dynamic stiffness matrix of an arbitrarily-shaped small-size frame, where every member is made of a single element, is built by a standard finite-element assembly procedure. The Wittrick–Williams algorithm is applied to calculate natural frequencies and modes. The developed methodology, exploiting the one conceived for straight beams in [International Journal of Engineering Science 115, 14–27 (2017)], is suitable for investigating free vibrations of small-size systems of current applicative interest in Nano-Engineering, such as carbon nanotube networks and polymer-metal micro-trusses.
2021
On the dynamics of nano-frames / Russillo, A. F.; Failla, G.; Alotta, G.; Marotti de Sciarra, F.; Barretta, R.. - In: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE. - ISSN 0020-7225. - 160:(2021), p. 103433. [10.1016/j.ijengsci.2020.103433]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/831890
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