Full Content is available to subscribers

Subscribe/Learn More  >

Suppression of Nonlinear Bifurcations in Flexible Structures Using Nonlinear Switching Shunt Damping Circuits

[+] Author Affiliations
Tarcisio Silva, Carlos De Marqui, Jr.

Georgia Institute of Technology, Atlanta, GAUniversity of Sao Paulo, Sao Carlos, Brazil

David Tan, Alper Erturk

Georgia Institute of Technology, Atlanta, GA

Paper No. DETC2016-60572, pp. V008T10A063; 6 pages
  • ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 8: 28th Conference on Mechanical Vibration and Noise
  • Charlotte, North Carolina, USA, August 21–24, 2016
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5020-6
  • Copyright © 2016 by ASME


We explore the suppression of geometrically nonlinear vibrations of a flexible structure by using nonlinear switching shunt damping circuits, namely the Synchronized Switch Damping on Short (SSDS) circuit and the Synchronized Switch Damping on Inductor (SSDI) circuit. Following the early research on linear shunt circuits, the use of nonlinear switching shunts was explored for damping of linear resonance behavior of flexible structures in the early 2000s. However, such flexible structures can easily undergo undesired bifurcations and exhibit large-amplitude nonlinear oscillations that coexist with small oscillations in their frequency response. Suppression of such nonlinear vibrations and resulting bifurcations with linear resistive-inductive circuits is impractical due to extremely large inductance requirements. In the present work, the focus is placed on a strongly nonlinear and weakly coupled flexible structure for suppressing its large-amplitude periodic response branch resulting from saddle-node bifurcations. The Duffing-like structure of interest exhibits nonlinear hardening behavior of predominantly cubic stiffness under primary resonance excitation. Purely resistive linear shunting, SSDS, and SSDI damping techniques are employed and compared with the baseline (near short-circuit) frequency response curves (up- and down-sweep) of the nonlinear structure. Specifically it is shown that the SSDI circuit can substantially reduce the large-amplitude branch, offering the possibility of entirely suppressing undesired large-amplitude bifurcations of the nonlinear system up to certain excitation levels in order to achieve low-amplitude single-valued frequency response. Coupled nonlinear modeling, numerical simulations, and experimental validations are presented.

Copyright © 2016 by ASME



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In