On the dynamics of nano-frames
| Autor: | Francesco Marotti de Sciarra, Raffaele Barretta, Giuseppe Failla, Gioacchino Alotta, Andrea Francesco Russillo |
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| Přispěvatelé: | Russillo, A. F., Failla, G., Alotta, G., Marotti de Sciarra, F., Barretta, R. |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Stress-driven model
Differential equation FOS: Physical sciences Single element 02 engineering and technology Dynamic stiffness Applied Physics (physics.app-ph) Carbon nanotube Wittrick–Williams algorithm 0203 mechanical engineering Nano General Materials Science Elasticity (economics) Physics Mechanical Engineering Mathematical analysis General Engineering Physics - Applied Physics Free vibration Nonlocal integral elasticity 021001 nanoscience & nanotechnology Vibration Nano-engineered material network 020303 mechanical engineering & transports Mechanics of Materials Dynamic stiffness matrix 0210 nano-technology Beam (structure) |
| Popis: | In this paper, 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 size-dependent free vibrations of small-size systems of current applicative interest in Nano-Engineering, such as carbon nanotube networks and polymer-metal micro-trusses. |
| Databáze: | OpenAIRE |
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