Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

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IssuesArchive of Issues2022-5pp.1157-1172

Archive of Issues

Total articles in the database: 10864
In Russian (»Á‚. –ņÕ. Ő““): 8009
In English (Mech. Solids): 2855

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M. Hosseini, M. Makkiabadi, and R. Bahaadini, "Exact Solution for Dynamic Deflection of Fluid-Conveying Nanotubes Flexibly Restrained at the Ends by Means of Greenís Function Method," Mech. Solids. 57 (5), 1157-1172 (2022)
Year 2022 Volume 57 Number 5 Pages 1157-1172
DOI 10.3103/S0025654422050077
Title Exact Solution for Dynamic Deflection of Fluid-Conveying Nanotubes Flexibly Restrained at the Ends by Means of Greenís Function Method
Author(s) M. Hosseini (Department of Mechanical Engineering, Sirjan University of Technology, Sirjan 78137-33385, I.R. Iran, hosseini@sirjantech.ac.ir, moh_hosseini@yahoo.com)
M. Makkiabadi (Department of Mechanical Engineering, Sirjan University of Technology, Sirjan 78137-33385, I.R. Iran)
R. Bahaadini (Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, I.R. Iran)
Abstract Carbon nanotubes have become promising structures for diverse fields such as medicine, engineering, and agriculture due to their advantageous mechanical, thermal, electrical, and chemical characteristics. In the present study, an analytical solution method is proposed for the forced vibration analysis of nanotubes containing flowing fluid and flexibly supported at its ends. The boundary conditions of nanotube are considered as linear translational and rotational springs. Based on the Eringen's nonlocal elasticity theory and Euler-Bernoulli beam model, the governing equations of motion and associated boundary conditions are derived. A Greenís function approach is employed to solve governing equations of motion determine dynamic deflection of the system. Then, some numerical instances are presented to examine the effects of nonlocal parameter, frequency of external force, fluid velocity and boundary conditions, spring constants of elastic support on the dynamic deflection of the system. Furthermore, the validity of the suggested model has been verified in comparison with the available results in the literature and good agreement is observed.
Keywords nanotube conveying fluid, Eringen's nonlocal elasticity, flexible end-conditions, Green's function, dynamic deflection
Received 04 January 2022Revised 06 February 2022Accepted 07 February 2022
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