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).
Skip Nav Destination
e-mail: szazs@mm.bme.hu
e-mail: lukacs@mom.bme.hu
Article navigation
July 2007
Research Papers
Numerical Stability Analysis of a Forced Two-D.O.F. Oscillator With Bilinear Damping
Zsolt Szabó,
Zsolt Szabó
Department of Applied Mechanics,
e-mail: szazs@mm.bme.hu
Budapest University of Technology and Economics
, Budapest, H-1521, Hungary
Search for other works by this author on:
Attila Lukács
Attila Lukács
Department of Mechatronics, Optics, and Instrumentation Technology,
e-mail: lukacs@mom.bme.hu
Budapest University of Technology and Economics
, Budapest, H-1521, Hungary
Search for other works by this author on:
Zsolt Szabó
Department of Applied Mechanics,
Budapest University of Technology and Economics
, Budapest, H-1521, Hungarye-mail: szazs@mm.bme.hu
Attila Lukács
Department of Mechatronics, Optics, and Instrumentation Technology,
Budapest University of Technology and Economics
, Budapest, H-1521, Hungarye-mail: lukacs@mom.bme.hu
J. Comput. Nonlinear Dynam. Jul 2007, 2(3): 211-217 (7 pages)
Published Online: March 9, 2007
Article history
Received:
October 13, 2005
Revised:
March 9, 2007
Citation
Szabó, Z., and Lukács, A. (March 9, 2007). "Numerical Stability Analysis of a Forced Two-D.O.F. Oscillator With Bilinear Damping." ASME. J. Comput. Nonlinear Dynam. July 2007; 2(3): 211–217. https://doi.org/10.1115/1.2727487
Download citation file:
Get Email Alerts
Cited By
Investigation of Nonlinear Dynamic Behaviors of Vertical Rotor System Supported by Aerostatic Bearings
J. Comput. Nonlinear Dynam (January 2025)
Electric Circuit Analogs of First-Order Dual-Phase-Lag Diffusion
J. Comput. Nonlinear Dynam
Related Articles
Experiments on Quasiperiodic Wheel Shimmy
J. Comput. Nonlinear Dynam (July,2009)
Stochastic Analysis of a 1-D System With Fractional Damping of Order 1/2
J. Vib. Acoust (July,2002)
Fuzzy Sky-Ground Hook Control of a Tracked Vehicle Featuring Semi-Active Electrorheological Suspension Units
J. Dyn. Sys., Meas., Control (March,2002)
Unified Probabilistic Approach for Model Updating and Damage Detection
J. Appl. Mech (July,2006)
Related Proceedings Papers
Related Chapters
Manufacturing Processes and Materials
Design of Human Powered Vehicles
Rationale for Human-Powered Vehicle Design and Use
Design of Human Powered Vehicles
The Effect of Vehicle-Road Interaction on Fuel Consumption
Vehicle-Road Interaction