Vortex-induced vibration of a sprung rigid circular cylinder augmented with a nonlinear energy sink

Ravi Kumar R. Tumkur, Ramon Calderer, Arif Masud, Lawrence Bergman, Alexander F Vakakis, Arne J Pearlstein

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study the nonlinear fluid-structure interaction of an elastically supported rigid circular cylinder in a laminar flow. Periodic shedding of counter-rotating vortices from either side of the cylinder results in vortex-induced vibration of the cylinder. We demonstrate the passive suppression of the limit cycle oscillation (LCO) of the cylinder with the use of an essentially nonlinear element, the nonlinear energy sink (NES). The computational study is performed at a Reynolds number (Re) of 100; Re is defined based on the cylinder diameter and inlet velocity. The variational multiscale residual-based stabilized finite-element method is used to compute approximate solutions of the incompressible Navier-Stokes equations. The NES is comprised of a small mass, an essentially nonlinear spring, and a linear damper. With appropriate values for the NES parameters, the coupled system of flow-cylinder-NES exhibits resonant interactions, resulting in targeted energy transfer (TET) from the flow via the cylinder to the NES, where the energy is dissipated by the linear damper. The NES interacts with the fluid via the cylinder by altering the phase relation between the lift force and the cylinder displacement; this brings about significant reduction in the LCO amplitude of the cylinder for several set of values of the NES parameters.

Original languageEnglish (US)
Title of host publicationASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
Pages85-92
Number of pages8
EditionPARTS A AND B
DOIs
StatePublished - Dec 1 2012
EventASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 - Chicago, IL, United States
Duration: Aug 12 2012Aug 12 2012

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
NumberPARTS A AND B
Volume1

Other

OtherASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
CountryUnited States
CityChicago, IL
Period8/12/128/12/12

Fingerprint

Vortex-induced Vibration
Circular Cylinder
Circular cylinders
Vortex flow
Fluid structure interaction
Energy
Laminar flow
Energy transfer
Navier Stokes equations
Reynolds number
Finite element method
Fluids
Damper
Limit Cycle
Oscillation
Stabilized Finite Element Method
Fluid
Incompressible Navier-Stokes Equations
Energy Transfer
Laminar Flow

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

Cite this

Tumkur, R. K. R., Calderer, R., Masud, A., Bergman, L., Vakakis, A. F., & Pearlstein, A. J. (2012). Vortex-induced vibration of a sprung rigid circular cylinder augmented with a nonlinear energy sink. In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 (PARTS A AND B ed., pp. 85-92). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1, No. PARTS A AND B). https://doi.org/10.1115/DETC2012-71100

Vortex-induced vibration of a sprung rigid circular cylinder augmented with a nonlinear energy sink. / Tumkur, Ravi Kumar R.; Calderer, Ramon; Masud, Arif; Bergman, Lawrence; Vakakis, Alexander F; Pearlstein, Arne J.

ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B. ed. 2012. p. 85-92 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1, No. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tumkur, RKR, Calderer, R, Masud, A, Bergman, L, Vakakis, AF & Pearlstein, AJ 2012, Vortex-induced vibration of a sprung rigid circular cylinder augmented with a nonlinear energy sink. in ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B edn, Proceedings of the ASME Design Engineering Technical Conference, no. PARTS A AND B, vol. 1, pp. 85-92, ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012, Chicago, IL, United States, 8/12/12. https://doi.org/10.1115/DETC2012-71100
Tumkur RKR, Calderer R, Masud A, Bergman L, Vakakis AF, Pearlstein AJ. Vortex-induced vibration of a sprung rigid circular cylinder augmented with a nonlinear energy sink. In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B ed. 2012. p. 85-92. (Proceedings of the ASME Design Engineering Technical Conference; PARTS A AND B). https://doi.org/10.1115/DETC2012-71100
Tumkur, Ravi Kumar R. ; Calderer, Ramon ; Masud, Arif ; Bergman, Lawrence ; Vakakis, Alexander F ; Pearlstein, Arne J. / Vortex-induced vibration of a sprung rigid circular cylinder augmented with a nonlinear energy sink. ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B. ed. 2012. pp. 85-92 (Proceedings of the ASME Design Engineering Technical Conference; PARTS A AND B).
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