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research-article

Effects of Damping on Flow Mediated Interaction Between Two Cylinders

[+] Author and Article Information
Zhonglu Lin

PhD Candidate, State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, P.R. China; Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration(CISSE), Shanghai 200240, P.R. China
zl352@eng.cam.ac.uk

Dongfang Liang

Professor, State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, P.R. China; Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration(CISSE), Shanghai 200240, P.R. China
d.liang@sjtu.edu.cn

Ming Zhao

Associate Professor, School of Computing, Engineering and Mathematics, Western Sydney University, Penrith, New South Wales, Australia
m.zhao@westernsydney.edu.au

1Corresponding author.

ASME doi:10.1115/1.4039712 History: Received August 15, 2017; Revised March 08, 2018

Abstract

This study investigates the flow mediated interaction between two vibrating cylinders of the same size immersed in an otherwise still fluid. The master cylinder carries out forced vibration, while the slave cylinder is elastically-mounted with one degree of freedom along the center-line between the two cylinders. We examined the stabilized vibration of the slave cylinder. In total, 6269 two-dimensional cases were simulated to cover the parameter space, with the a fixed Reynolds number of 100, the structural damping factor of the slave cylinder ranging from 0 to 1.4, the mass ratio of the slave cylinder ranging from 1.5 to 2.5, the initial gap ratio ranging from 0.2 to 1.0, the vibration amplitude ratio of the master cylinder ranging from 0.025 to 0.1, and the vibration frequency ratio ranging from 0.05 to 2.4. We found that the vibration amplitude of the slave cylinder is highly sensitive to damping when the damping coefficient is small. The two cylinders' vibration is in antiphase at low frequencies but in phase at high frequencies. The phase of the slave cylinder changes abruptly at resonance when it has little damping, but the phase change with the frequency becomes increasingly gradual with increasing damping. With a non-zero damping factor, the maximum vibration amplitude of the slave cylinder is inversely correlated with its mass ratio. The response of the slave cylinder is explained by examining the pressure distribution and velocity field adjacent to it.

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