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Flow-induced vibration of two tandem square cylinders at low Reynolds number: transitions among vortex-induced vibration, biased oscillation and galloping

Published online by Cambridge University Press:  30 April 2024

Cheng Zhang Open the ORCID record for Cheng Zhang [Opens in a new window] ,
Guoqiang Tang Open the ORCID record for Guoqiang Tang [Opens in a new window] ,
Lin Lu Open the ORCID record for Lin Lu [Opens in a new window] ,
Yan Jin Open the ORCID record for Yan Jin [Opens in a new window] ,
Hongwei An Open the ORCID record for Hongwei An [Opens in a new window]  and
Liang Cheng Open the ORCID record for Liang Cheng [Opens in a new window]
Cheng Zhang
Affiliation:
School of Marine Science and Engineering, South China University of Technology, Guangzhou 511442, PR China
Guoqiang Tang*
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PR China
Lin Lu
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PR China
Yan Jin
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PR China
Hongwei An
Affiliation:
School of Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia
Liang Cheng
Affiliation:
School of Marine Science and Engineering, South China University of Technology, Guangzhou 511442, PR China
*
†Email address for correspondence: guoqiang.t@dlut.edu.cn
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Abstract

The flow-induced vibrations (FIVs) of two identical tandem square cylinders with mass ratio m* = 3.5 at Reynolds number Re = 150 are investigated through two-dimensional direct numerical simulation (DNS) and linear stability analysis over a parameter range of spacing ratio 1.5 ≤ L* ≤ 5 and reduced velocity 3 ≤ Ur ≤ 34. Three kinds of FIV responses, namely vortex-induced vibration (VIV), biased oscillation (BO) and galloping (GA), are identified. The FIVs are then further classified into the branches of initial VIV (IV), resonant VIV (RV and RV′), flutter-induced VIV (FV), desynchronized VIV (DV), VIV developing from GA (GV), transitional state between VIV and GA (TR), BO and GA based on the characteristics of the vibration responses. The transitions among different FIV branches are examined by combining the DNS with linear stability analysis, where the transition boundaries among the VIV, BO and GA branches over the concerned parameters are identified on the branch maps. The transition from IV to RV or RV′ is found to be related to the unstable wake mode, while the FV, transiting from RV or RV′, is induced by the unstable structural factor in the wake-structure mode. The structural instability is considered as the physical origin of GA, whereas the mode competition between unstable wake and structure leads to DV, GV and TR, and thus delays the appearance of GA. The transition from DV to BO with biased equilibrium position, accompanied by the even-order harmonic frequencies, is essentially induced by the symmetry breaking bifurcation.

JFM classification

Nonlinear Dynamical Systems: Low-dimensional models Vortex Flows: Vortex shedding

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Type
JFM Papers
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Journal of Fluid Mechanics , Volume 986 , 10 May 2024 , A10
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© The Author(s), 2024. Published by Cambridge University Press

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