Complex averaging; Nonlinear energy sink; Slow invariant manifold; Strongly modulated response; Targeted energy transfer; Averaging technique; Complexification; Fluid-structure interaction; Slow flow; Slow invariant manifolds; Targeted energy transfers; Vortex induced vibration; Control and Systems Engineering; Signal Processing; Civil and Structural Engineering; Aerospace Engineering; Mechanical Engineering; Computer Science Applications
Abstract :
[en] 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.
Disciplines :
Mechanical engineering
Author, co-author :
Chirathalattu, Abraham Thomas; Department of Mechanical Engineering, Amrita of School of Engineering, Coimbatore, India
Santhosh, B.; Department of Mechanical Engineering, Amrita of School of Engineering, Coimbatore, India
Bose, Chandan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Interactions Fluide-Structure - Aérodynamique expérimentale
Philip, Rony; Department of Mechanical Engineering, Amrita of School of Engineering, Coimbatore, India
Balaram, Bipin; Department of Mechanical Engineering, Amrita of School of Engineering, Coimbatore, India ; Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland
Language :
English
Title :
Passive suppression of vortex-induced vibrations using a nonlinear energy sink—Numerical and analytical perspective
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