TY - GEN
T1 - Identification of equivalent modal damping and frequencies in multi degree-of-freedom nonlinear systems
AU - Quinn, D. Dane
AU - Ott, Richard J.
AU - Hubbard, Sean
AU - McFarland, D. Michael
AU - Bergman, Lawrence A.
AU - Vakakis, Alexander F.
PY - 2011
Y1 - 2011
N2 - We consider the response of a linear structural system when coupled to an attachment containing strong or even essential nonlinearities. For this system, the attachment is designed as a nonlinear vibration absorber, serving to dissipate energy from the structural system. Moreover, the attachment not only leads to a reduction in the total energy of the system, but also couples together the vibration modes of the linear structural system, thereby allowing for energy to also be redistributed among these structural modes of the system. The effect of the nonlinear attachment on the linear primary system can be quantified in terms of equivalent measures for the damping and frequency of each mode, derived through consideration of the energy in each mode. The identification of these equivalent measures is illustrated on a two degree-of-freedom primary system. Moreover, this procedure depends only on the time history of the response and is therefore suited to both simulation and experimental results.
AB - We consider the response of a linear structural system when coupled to an attachment containing strong or even essential nonlinearities. For this system, the attachment is designed as a nonlinear vibration absorber, serving to dissipate energy from the structural system. Moreover, the attachment not only leads to a reduction in the total energy of the system, but also couples together the vibration modes of the linear structural system, thereby allowing for energy to also be redistributed among these structural modes of the system. The effect of the nonlinear attachment on the linear primary system can be quantified in terms of equivalent measures for the damping and frequency of each mode, derived through consideration of the energy in each mode. The identification of these equivalent measures is illustrated on a two degree-of-freedom primary system. Moreover, this procedure depends only on the time history of the response and is therefore suited to both simulation and experimental results.
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U2 - 10.1115/DETC2011-48956
DO - 10.1115/DETC2011-48956
M3 - Conference contribution
AN - SCOPUS:84863580937
SN - 9780791854785
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 467
EP - 474
BT - ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011
T2 - ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011
Y2 - 28 August 2011 through 31 August 2011
ER -