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Dynamical Stability of Cantilevered Pipe Conveying Fluid with Inerter-Based Dynamic Vibration Absorber

Zhiyuan Liu1,2, Xin Tan2, Xiaobo Liu1,2, Pingan Chen1,2, Ke Yi1,2, Tianzhi Yang1,2, Qiao Ni3,4, Lin Wang3,4,*
1 The State Key Laboratory of Heavy Duty AC Drive Electric Locomotive Systems Integration, Zhuzhou, 412001, China
2 CRRC Zhuzhou Locomotive Co., Ltd., Zhuzhou, 412001, China
3 Department of Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, China
4 Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan, 430074, China
* Corresponding Author: Lin Wang. Email:

Computer Modeling in Engineering & Sciences 2020, 125(2), 495-514.

Received 11 June 2020; Accepted 07 August 2020; Issue published 12 October 2020


Cantilevered pipe conveying fluid may become unstable and flutter instability would occur when the velocity of the fluid flow in the pipe exceeds a critical value. In the present study, the theoretical model of a cantilevered fluid-conveying pipe attached by an inerter-based dynamic vibration absorber (IDVA) is proposed and the stability of this dynamical system is explored. Based on linear governing equations of the pipe and the IDVA, the effects of damping coefficient, weight, inerter, location and spring stiffness of the IDVA on the critical flow velocities of the pipe system is examined. It is shown that the stability of the pipe may be significantly affected by the IDVA. In many cases, the stability of the cantilevered pipe can be enhanced by designing the parameter values of the IDVA. By solving nonlinear governing equations of the dynamical system, the nonlinear oscillations of the pipe with IDVA for sufficiently high flow velocity beyond the critical value are determined, showing that the oscillation amplitudes of the pipe can also be suppressed to some extent with a suitable design of the IDVA.


Cantilevered pipe conveying fluid; inerter-based dynamic vibration absorber; dynamic vibration absorber; critical flow velocity; nonlinear oscillation

Cite This Article

Liu, Z., Tan, X., Liu, X., Chen, P., Yi, K. et al. (2020). Dynamical Stability of Cantilevered Pipe Conveying Fluid with Inerter-Based Dynamic Vibration Absorber. CMES-Computer Modeling in Engineering & Sciences, 125(2), 495–514.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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