TY - JOUR
T1 - Reduced-order model for laminar vortex-induced vibration of a rigid circular cylinder with an internal nonlinear absorber
AU - Tumkur, Ravi Kumar R.
AU - Domany, Elad
AU - Gendelman, Oleg V.
AU - Masud, Arif
AU - Bergman, Lawrence A.
AU - Vakakis, Alexander F.
N1 - Funding Information: The authors gratefully acknowledge the use of the parallel computing resource provided by the Computational Science and Engineering Program at the University of Illinois . The CSE computing resource, provided as part of the Taub cluster, is devoted to high performance computing in engineering and science. This work was funded in part by the (US–Israel) Binational Science Foundation (grant 2008055 ), to which the authors express their gratitude.
PY - 2013/7
Y1 - 2013/7
N2 - The nonlinear interaction of a laminar flow and a sprung rigid circular cylinder results in vortex-induced vibration (VIV) of the cylinder. Passive suppression of the VIV by attaching an internal nonlinear vibration absorber that acts, in essence, as a nonlinear energy sink (NES) to the cylinder has been observed in finite-element computations involving thousands of degrees of freedom (DOF). A single-DOF self-excited oscillator is developed to approximate the limit-cycle oscillation (LCO) of the cylinder undergoing VIV. This self-excited oscillator models the interaction of the flow and the cylinder. Then, a two-DOF reduced-order model for the system with the internal NES is constructed by coupling the single-DOF NES to the single-DOF self-excited oscillator. Hence, the complicated high-dimensional system of flow-cylinder-NES involving thousands of DOF is reduced to a two-DOF model. The two targeted energy transfer mechanisms responsible for passive VIV suppression that are observed in the finite-element computations are fully reproduced using the two-DOF reduced-order model. This reduction of the dynamics to an easily tractable low-dimensional reduced-order model facilitates the approximate analysis of the underlying dynamics. Moreover, the underlying assumptions of the order reduction, and the parameter ranges of validity of the reduced-order model are formulated and systematically studied.
AB - The nonlinear interaction of a laminar flow and a sprung rigid circular cylinder results in vortex-induced vibration (VIV) of the cylinder. Passive suppression of the VIV by attaching an internal nonlinear vibration absorber that acts, in essence, as a nonlinear energy sink (NES) to the cylinder has been observed in finite-element computations involving thousands of degrees of freedom (DOF). A single-DOF self-excited oscillator is developed to approximate the limit-cycle oscillation (LCO) of the cylinder undergoing VIV. This self-excited oscillator models the interaction of the flow and the cylinder. Then, a two-DOF reduced-order model for the system with the internal NES is constructed by coupling the single-DOF NES to the single-DOF self-excited oscillator. Hence, the complicated high-dimensional system of flow-cylinder-NES involving thousands of DOF is reduced to a two-DOF model. The two targeted energy transfer mechanisms responsible for passive VIV suppression that are observed in the finite-element computations are fully reproduced using the two-DOF reduced-order model. This reduction of the dynamics to an easily tractable low-dimensional reduced-order model facilitates the approximate analysis of the underlying dynamics. Moreover, the underlying assumptions of the order reduction, and the parameter ranges of validity of the reduced-order model are formulated and systematically studied.
KW - Nonlinear energy sink
KW - Reduced-order model
KW - Targeted energy transfer
KW - Vortex-induced vibration
UR - http://www.scopus.com/inward/record.url?scp=84873567403&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2012.11.028
DO - 10.1016/j.cnsns.2012.11.028
M3 - مقالة
SN - 1007-5704
VL - 18
SP - 1916
EP - 1930
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 7
ER -