Identification of equivalent modal damping and frequencies in multi degree-of-freedom nonlinear systems

D. Dane Quinn, Richard J. Ott, Sean Hubbard, D. Michael McFarland, Lawrence A. Bergman, Alexander F. Vakakis

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

Abstract

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.

Original languageEnglish (US)
Title of host publicationASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011
Pages467-474
Number of pages8
EditionPARTS A AND B
DOIs
StatePublished - Dec 1 2011
EventASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011 - Washington, DC, United States
Duration: Aug 28 2011Aug 31 2011

Publication series

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

Other

OtherASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011
CountryUnited States
CityWashington, DC
Period8/28/118/31/11

Fingerprint

Degrees of freedom (mechanics)
Nonlinear systems
Damping
Nonlinear Systems
Degree of freedom
Energy
Dissipate
Nonlinear Vibration
Absorber
Coupled System
Nonlinearity
Experimental Results
Simulation

ASJC Scopus subject areas

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

Cite this

Quinn, D. D., Ott, R. J., Hubbard, S., McFarland, D. M., Bergman, L. A., & Vakakis, A. F. (2011). Identification of equivalent modal damping and frequencies in multi degree-of-freedom nonlinear systems. In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011 (PARTS A AND B ed., pp. 467-474). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1, No. PARTS A AND B). https://doi.org/10.1115/DETC2011-48956

Identification of equivalent modal damping and frequencies in multi degree-of-freedom nonlinear systems. / Quinn, D. Dane; Ott, Richard J.; Hubbard, Sean; McFarland, D. Michael; Bergman, Lawrence A.; Vakakis, Alexander F.

ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B. ed. 2011. p. 467-474 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1, No. PARTS A AND B).

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

Quinn, DD, Ott, RJ, Hubbard, S, McFarland, DM, Bergman, LA & Vakakis, AF 2011, Identification of equivalent modal damping and frequencies in multi degree-of-freedom nonlinear systems. in ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B edn, Proceedings of the ASME Design Engineering Technical Conference, no. PARTS A AND B, vol. 1, pp. 467-474, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011, Washington, DC, United States, 8/28/11. https://doi.org/10.1115/DETC2011-48956
Quinn DD, Ott RJ, Hubbard S, McFarland DM, Bergman LA, Vakakis AF. Identification of equivalent modal damping and frequencies in multi degree-of-freedom nonlinear systems. In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B ed. 2011. p. 467-474. (Proceedings of the ASME Design Engineering Technical Conference; PARTS A AND B). https://doi.org/10.1115/DETC2011-48956
Quinn, D. Dane ; Ott, Richard J. ; Hubbard, Sean ; McFarland, D. Michael ; Bergman, Lawrence A. ; Vakakis, Alexander F. / Identification of equivalent modal damping and frequencies in multi degree-of-freedom nonlinear systems. ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B. ed. 2011. pp. 467-474 (Proceedings of the ASME Design Engineering Technical Conference; PARTS A AND B).
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