Transient response of oscillated carbon nanotubes with an internal and external damping

Mohammad Malikan; Rossana Dimitri; Francesco Tornabene

doi:10.1016/j.compositesb.2018.09.092

Transient response of oscillated carbon nanotubes with an internal and external damping

Abstract

The present works aims at modeling a viscoelastic nanobeam with simple boundary conditions at the two ends with the introduction of the Kelvin-Voigt viscoelasticity in a nonlocal strain gradient theory. The nanobeam lies on the visco-Pasternak matrix in which three characteristic parameters have a prominent role. A refined Timoshenko beam theory is here applied, which is only based on one unknown variable, in accordance with the Euler-Bernoulli theory, whereas the Hamilton's principle is applied to derive the equations of motion. These are, in turn, solved for a carbon nanotube with some fixed material properties. An analytical method has been used to discretize the equations in the displacement field and time, while computing the time-response of the system. For validation purposes, the results based on the proposed formulation are successfully compared to several references. A final parametric investigation focuses on the sensitivity of the time-response of a nanotube under simple boundary conditions, to different parameters such as the length scale, the viscoelasticity coefficients or the nonlocal parameter.

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Authors (3)

Mohammad Malikan dr inż.
Rossana Dimitri Dr.
Francesco Tornabene Professor

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Keywords

NONLOCAL STRAIN GRADIENT THEORYREFINED TIMOSHENKO BEAM THEORYSIMPLE BOUNDARY CONDITIONSVISCOELASTIC NANOBEAM

Details

Category:

Articles

Type:

artykuły w czasopismach

Published in:

COMPOSITES PART B-ENGINEERING no. 158, pages 198 - 205,
ISSN: 1359-8368

Language:

English

Publication year:

2019

Bibliographic description:

Malikan M., Dimitri R., Tornabene F.: Transient response of oscillated carbon nanotubes with an internal and external damping// COMPOSITES PART B-ENGINEERING -, (2019), s.198-205

DOI: