Dynamic behavior of double-walled carbon nanotubes conveying viscous fluid based on nonlocal elastic theory

Yaxin Zhen; Bo Fang; Liguo Wang

doi:10.1117/12.847488

30 March 2010 Dynamic behavior of double-walled carbon nanotubes conveying viscous fluid based on nonlocal elastic theory

Yaxin Zhen, Bo Fang, Liguo Wang

Author Affiliations +

Proceedings Volume 7646, Nanosensors, Biosensors, and Info-Tech Sensors and Systems 2010; 76461R (2010) https://doi.org/10.1117/12.847488
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2010, San Diego, California, United States

Abstract

In this paper, the dynamic behavior of a fixed-fixed double-walled carbon nanotube (DWCNT) conveying fluid is studied based on Euler-Bernoulli beam theory. The viscosity of the fluid and the nonlocal effect are incorporated in the formulation, and the Galerkin discretization method is used to solve the coupled equations of motions. The critical flow velocity of the fluid is obtained. Numerical simulations show that the van der Waals (vdW) interactions and the internal moving fluid play significant roles in the natural frequencies and the instability of DWCNTs. Also, the influences of the viscosity, nonlocal effect, aspect ratio and the surrounding elastic medium on the dynamic behavior of the double-walled carbon nanotube is studied in detail. It is found that a higher viscous-fluid-conveying DWCNT embedded in a stiff matrix with a larger aspect ratio make the induced instability vibration occur until a higher flow velocity.

Citation Download Citation

Yaxin Zhen, Bo Fang, and Liguo Wang "Dynamic behavior of double-walled carbon nanotubes conveying viscous fluid based on nonlocal elastic theory", Proc. SPIE 7646, Nanosensors, Biosensors, and Info-Tech Sensors and Systems 2010, 76461R (30 March 2010); https://doi.org/10.1117/12.847488

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