Passive fluid-induced vibration control of viscoelastic cylinder using nonlinear energy sink

• Published in: Marine structures Vol. 81; p. 103116
• Main Authors: Nasrabadi, Mohammadali, Sevbitov, Andrei Vladimirovich, Maleki, Vahid Arab, Akbar, Narges, Javanshir, Ilghar
• Format: Journal Article
• Language: English
• Published: Barking Elsevier Ltd 01.01.2022; Elsevier BV
• Subjects: Acceleration; Aquatic reptiles; Beam theory (structures); Cantilevers; Cross flow; Cylinders; Damping; Differential equations; Displacement; Equations of motion; Euler-Bernoulli beams; Flow velocity; Fluid dynamics; Fluid flow; Fluid-induced vibrations; Fluid-structure interaction; Galerkin method; Mathematical models; Mitigation; Nonlinear differential equations; Nonlinear energy sink; Semi-analytical method; Stiffness; Strain; Vibration; Vibration control; Vibration response; Vibrations; Viscoelastic; Viscoelastic cylinders; Viscoelasticity; Nonlinear energy sink; Fluid-induced vibrations; Viscoelastic; Semi-analytical method
• DOI: 10.1016/j.marstruc.2021.103116
• ISSN: 0951-8339

This study focuses on the performance of the nonlinear energy sink (NES) in passive controlling the cantilever cylinder vibrations subjected to the external fluid flow. The nonlinear differential equations of motion are obtained by considering the large strain-displacement relation and viscoelastic behavior. Wake oscillation in fluid-structure interaction is modeled based on the Van der Pol wake oscillator model with is the classic acceleration coupling between the cross-flow motion and wake. Based on the Von Karman strain-displacement relation, and Euler-Bernoulli beam theory, the nonlinear vibration equations which are coupled with attached NES motion are obtained using Newton's second law, and discretized by applying the Galerkin method. The fluid flow velocity and nonlinear stiffness, damping, and mass of the NES are studied to determine their effects on the vibration response of the system. The present study comprehensively evaluates the effects of adding a NES on the lock-in phenomenon and maximum oscillating amplitudes of a cantilever cylinder, and guides to determine the best design of NES for significant fluid-induced vibration mitigation. •NES is proposed for passive control of fluid-induced vibrations of viscoelastic beam.•Fluctuating nature of the vortex street is simulated by a nonlinear van der Pol oscillator.•Parametric study of the coupled nonlinear differential equations performed using Galerkin approach.•Results show the proper ability of using passive NES to control fluid-induced vibrations in structures.