0
Research Papers

Closed-Form Steady-State Response Solution of the Twin Rotor Damper and Experimental Validation

[+] Author and Article Information
Richard Bäumer

Structural Analysis and Steel Structures Institute,
Hamburg University of Technology,
Denickestr. 17,
Hamburg 21073, Germany
e-mail: richard.baeumer@tuhh.de

Uwe Starossek

Structural Analysis and Steel Structures Institute,
Hamburg University of Technology,
Denickestr. 17,
Hamburg 21073, Germany
e-mail: starossek@tuhh.de

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 8, 2016; final manuscript received October 7, 2016; published online February 22, 2017. Assoc. Editor: Philippe Velex.

J. Vib. Acoust 139(2), 021017 (Feb 22, 2017) (11 pages) Paper No: VIB-16-1338; doi: 10.1115/1.4035134 History: Received July 08, 2016; Revised October 07, 2016

In previous research, the twin rotor damper (TRD), an active mass damper, was presented including control algorithms for monofrequent vibrations. In a preferred mode of operation, the continuous rotation mode, two eccentric masses rotate in opposite directions about two parallel axes with a mostly constant angular velocity. The resulting control force is harmonic. Within this paper, the steady-state response of a single-degree-of-freedom (SDOF) oscillator subjected to a harmonic excitation force with and without the TRD is studied. A closed-form solution is presented and validated experimentally. It is shown that the TRD provides damping to the SDOF oscillator until a certain frequency ratio is reached. The provided damping is not only dependent on the design parameters of the TRD but also depends on the steady-state vibration amplitude. The solution serves as a powerful design tool for dimensioning the TRD. The analytical closed-form solution is applicable for other active mass dampers.

Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Twin rotor damper for a SDOF oscillator [5]

Grahic Jump Location
Fig. 2

Uncontrolled (K1=0) and controlled dynamic amplification Dc and phase θc plotted against frequency ratio η for several different values of K1

Grahic Jump Location
Fig. 3

Vector diagram showing the forces in steady-state with K1=0.5 and η=1.2

Grahic Jump Location
Fig. 4

Root locus for varying frequency ratio η for ηb<1

Grahic Jump Location
Fig. 5

Uncontrolled (K1=0) and controlled dynamic amplification Dc and phase θc plotted against frequency ratio η for ξ=0.01 for several different values of K1

Grahic Jump Location
Fig. 6

Test setup (left: side view, right: top view)

Grahic Jump Location
Fig. 7

Uncontrolled analytical and uncontrolled measured dynamic amplification, D and Dm

Grahic Jump Location
Fig. 8

Angular position control scheme of a single actuator

Grahic Jump Location
Fig. 9

Displacement x(t) of SDOF oscillator and control error ce1(t)

Grahic Jump Location
Fig. 10

Controlled dynamic amplification and controlled measured dynamic amplification, Dc and Dcm, corresponding to Tables 4 and 6

Grahic Jump Location
Fig. 11

Linear actuator and corresponding free-body diagram

Grahic Jump Location
Fig. 12

Control scheme for linear actuator

Grahic Jump Location
Fig. 13

Root locus of open-loop transfer function KPGS2(s) for linear actuator

Grahic Jump Location
Fig. 14

Measured position d(t) and error dt(t)−d(t) of position

Grahic Jump Location
Fig. 15

Root locus of open-loop transfer function KPM1(s)

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