Nonlocal Dispersion Analysis of a Fluid – Conveying Thermo Elastic Armchair Single Walled Carbon Nanotube Under Moving Harmonic Excitation

Subject Areas : Engineering

M Mahaveersree Jayan ¹ , R Kumar ² , R Selvamani ³ , J Rexy ⁴

1 - Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu, India
2 - Department of Mathematises, Kurukshetra University, Kurukshetra, Haryana, India
3 - Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu, India
4 - Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu, India

Received: 2019-12-15 Accepted : 2020-02-18 Published : 2020-03-01

Keywords: Harmonic load, Newmarks’s direct integration method, Armchair, Nonlocal model, Thermo elastic nanotube,

Abstract :

In this work, the nonlocal elastic waves in a fluid conveying armchair thermo elastic single walled carbon nanotube under moving harmonic load is studied using Eringen nonlocal elasticity theory via Euler Bernoulli beam equation. The governing equations that contains partial differential equations for single walled carbon nanotube is derived by considering thermal and Lorenz magnetic force. The small scale interactions induced by the nano tubes are simulated by the non-local effects. The time domain responses are obtained by using both modal super position method and Newmarks’s direct integration method. The effect of nonlocal parameter, thermal load, magnetic field of the moving harmonic load on the dynamic displacement of SWCNT is discussed. The results obtained show that the dynamic displacement of fluid conveying SWCNT ratio is significantly affected by the load velocity and the excitation frequency. This type of results presented here, will provide useful information for researchers in structural nano science to understand the small scale response of elastic waves coupled with thermo elasticity and some field forces.

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