0
TECHNICAL PAPERS

Isolated Resonance Captures and Resonance Capture Cascades Leading to Single- or Multi-Mode Passive Energy Pumping in Damped Coupled Oscillators

[+] Author and Article Information
Alexander F. Vakakis

Division of Mechanics, National Technical University of AthensDepartment of Mechanical and Industrial Engineering (adjunct), University of Illinois at Urbana-Champaign, Urbana, IL

D. Michael McFarland, Lawrence Bergman

Dept. of Aeronautical and Astronautical Engineering, University of Illinois at Urbana-Champaign, Urbana, IL

Leonid I. Manevitch, Oleg Gendelman

Institute of Chemical Physics, Russian Academy of Sciences, Moscow

J. Vib. Acoust 126(2), 235-244 (May 04, 2004) (10 pages) doi:10.1115/1.1687397 History: Received July 01, 2002; Revised August 01, 2003; Online May 04, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
The three-degree-of-freedom system with a NES attachment
Grahic Jump Location
Schematic of the synthesized NNM frequencies as functions of the (conserved) energy of the combined system: –Stable, ×××× unstable NNMs. With dashed lines we depict the “backbone curves” of the uncoupled system corresponding to ε=0. Schematics of the displacements of the particles of the system for each NNM are also depicted 4.
Grahic Jump Location
Initial excitation of linear out-of-phase mode, Y=2.7: (a) Instantaneous frequency of the NES; (b) Responses [[dashed_line]]y0(t) and –y1(t); (c) Responses [[dashed_line]]y0(t) and –v(t)
Grahic Jump Location
Initial excitation of linear out-of-phase mode, Y=2.8: (a) Instantaneous frequency of the NES; (b) Responses [[dashed_line]]y0(t) and –y1(t); (c) Responses [[dashed_line]]y0(t) and –v(t)
Grahic Jump Location
Initial excitation of linear in-phase mode, Y=1.0: (a) Instantaneous frequency of the NES; (b) Responses [[dashed_line]]y0(t) and –y1(t); (c) Responses [[dashed_line]]y0(t) and –v(t)
Grahic Jump Location
Transient excitation (F0=160) of the a symmetric three-DOF system: (a) Instantaneous frequency of the NES, with the levels corresponding to the two eigenfrequencies of the linear subsystem indicated by dashed lines; (b) Responses [[dashed_line]]y0(t) and –v(t); (c) Responses [[dashed_line]]y0(t) and –y1(t); (d) Portion of external energy absorbed and dissipated by the NES; (e) Comparison between the linear [[dashed_line]]and nonlinear –responses for y1(t)
Grahic Jump Location
Portion of total energy dissipated at the NES for decreasing strengths of the input force (F0≤160); In each case the instantaneous frequency of the NES is plotted versus time
Grahic Jump Location
Portion of total energy dissipated at the NES for increasing strengths of the input force (F0≥160); In each case the instantaneous frequency of the NES is plotted versus time

Tables

Errata

Discussions

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 Journal Articles
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