Passive suppression of vortex-induced vibrations using a nonlinear energy sink—Numerical and analytical perspective

Abraham Thomas Chirathalattu, Santhosh B*, Chandan Bose, Rony Philip, Bipin Balaram

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

This study investigates the suppression mechanism of instabilities induced by fluid–structure interactions (FSI) using passive vibration absorption devices, such as nonlinear energy sink (NES). The present FSI framework comprises a low-order phenomenological model, wherein the wake effect is modeled using the classical Van der Pol oscillator. The structure is represented as a cylindrical bluff body with degree-of-freedom along the cross-flow direction. The response of the NES-augmented structure exhibits specific relaxation type oscillations, referred to as strongly modulated response (SMR), passively suppressing the high amplitude vortex-induced vibrations (VIV). The underlying mechanism of SMR is studied using an analytical approach based on the Complexification-Averaging (CXA) technique. Using the CXA technique, the slow flow for the coupled FSI system with the NES attachment is modeled effectively, revealing nonlinear beating regimes and initiation of the targeted energy transfer (TET) mechanism. Subsequently, a transient resonance capture, implying a significant energy transfer from the structure to the NES, results in effective VIV suppression. The occurrence of SMRs is explained by analyzing the global dynamics using the slow invariant manifold (SIM) derived from the slow flow of the coupled system. The resultant SIM topology reveals a jump phenomenon between the stable branches, wherein the flow jumps from a lower stable branch to a higher stable branch through SMR. The novelty of this study lies in identifying the occurrence of SMRs as the mechanism of energy transfer and uses the CXA technique to explain the global dynamics by modeling the SIM for the 3-DOF coupled FSI framework with the NES attachment. Furthermore, the optimal operational parameter ranges for an efficient NES design are identified through a parametric study using the slow-flow model.
Original languageEnglish
Article number109556
JournalMechanical Systems and Signal Processing
Early online date20 Jul 2022
Publication statusPublished - 1 Jan 2023

Keywords / Materials (for Non-textual outputs)

  • Slow invariant manifold
  • Complex averaging
  • Targeted energy transfer
  • Strongly modulated response
  • Nonlinear energy sink


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