0
RESEARCH PAPERS

Numerical Stability Analysis of a Forced Two-D.O.F. Oscillator With Bilinear Damping

[+] Author and Article Information
Zsolt Szabó

Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, H-1521, Hungaryszazs@mm.bme.hu

Attila Lukács

Department of Mechatronics, Optics, and Instrumentation Technology, Budapest University of Technology and Economics, Budapest, H-1521, Hungarylukacs@mom.bme.hu

J. Comput. Nonlinear Dynam 2(3), 211-217 (Mar 09, 2007) (7 pages) doi:10.1115/1.2727487 History: Received October 13, 2005; Revised March 09, 2007

The current paper investigates the nonlinear stationary oscillations of a quarter vehicle model with two degrees of freedom subjected to a vertical road excitation. The damping of the wheel suspension has a bilinear characteristic, so that the damping strength is larger during compression than during restitution of the damper. For the optimization of the damping behavior the peak-to-peak swings have to be as small as possible. The unevenness of the road was approximated by filtered white noise which was modelled numerically using pseudorandom sequences. The first order form of the governing equations was transformed to hyperspherical representation. The stability was determined according to the largest Liapunov exponents obtained from the numerical simulation. For a chosen parameter range stability charts were constructed both in the stochastic and harmonic case (for comparison).

FIGURES IN THIS ARTICLE
<>
Copyright © 2007 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Mechanical model

Grahic Jump Location
Figure 2

Damping characteristic

Grahic Jump Location
Figure 4

Spectrum of white noise

Grahic Jump Location
Figure 5

Time plot of Zτ at μ=1

Grahic Jump Location
Figure 6

Spectral density of Zτ at μ=1

Grahic Jump Location
Figure 7

Contours of the largest Liapunov exponent at λ=0(a) for harmonic excitation and (b) for stochastic excitation

Grahic Jump Location
Figure 8

Distribution of Rn (103 iterations)

Grahic Jump Location
Figure 9

Distribution of Rn (106 iterations)

Grahic Jump Location
Figure 10

Distribution of Un (105 iterations)

Grahic Jump Location
Figure 11

Distribution of Vn (105 iterations)

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