Multi-mode vortex-induced vibration response and wake mode of a flexible cylinder near the wall

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (12) : 27-36.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Multi-mode vortex-induced vibration response and wake mode of a flexible cylinder near the wall

DU Muyuan，ZHANG Zhimeng*，JI Chunning，HUANG Taolin

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Abstract

Three-dimensional direct numerical simulations of the vortex-induced vibration of a pin-pin supported near-wall elastic cylinder at a Reynolds number of Re = 300 were conducted using the immersed boundary method based on embedded iteration. The aspect ratio of the slender cylinder was L /D = 25, while the gap ratio G/D ranged from 0.6 to 1.6. This corresponds to scenarios where the cylinder is fully covered by the boundary layer, partially submerged in the boundary layer, and completely outside the boundary layer, respectively. In the single-mode vibration regime, the vibration and the lift and drag coefficients of the cylinder at G/D = 0.6 and 1.1 are dominated by a single frequency. In contrast, at G/D = 1.6, two frequency components appear near the natural frequency. In the multi-mode vibration regime, the excitation and superposition of multiple modes cause the vibration and the lift and drag coefficients of the cylinder to exhibit a spatial-temporal distribution characterized by traveling waves. The merge of the upward-curling boundary layer and the wake vortices shed from the upper surface of the cylinder, together with the suppression of the vortices shed from the lower surface, leads to asymmetric vortex shedding. As the gap ratio increases, the suppression of vortex shedding weakens, and the wake sequentially exhibits the '1S', weak '2S', and '2S' vortex-shedding patterns. For multi-mode vibrations, the drag and lift spectra show the multi-frequency features while the streamwise and cross-flow vibrations are decoupled.

Key words

vortex-induced vibration / flexible cylinder / near wall effect / multi-mode vibration / gap ratio

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DU Muyuan, ZHANG Zhimeng, JI Chunning, HUANG Taolin. Multi-mode vortex-induced vibration response and wake mode of a flexible cylinder near the wall[J]. Journal of Vibration and Shock, 2025, 44(12): 27-36

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