Nonlinear vibration of a quarter-car model excited by the road surface profile

PAMM ◽  
2008 ◽  
Vol 8 (1) ◽  
pp. 10893-10894 ◽  
Author(s):  
Grzegorz Litak ◽  
Marek Borowiec
Keyword(s):  
Nonlinear Vibration ◽  
Surface Profile ◽  
Road Surface ◽  
The Road ◽  
Quarter Car Model ◽  
Car Model ◽  
Quarter Car

scholarly journals Chaotic vibration of a quarter-car model excited by the road surface profile

2008 ◽  
Vol 13 (7) ◽  
pp. 1373-1383 ◽  
Author(s):  
Grzegorz Litak ◽  
Marek Borowiec ◽  
Michael I. Friswell ◽  
Kazimierz Szabelski
Keyword(s):  
Surface Profile ◽  
Road Surface ◽  
The Road ◽  
Quarter Car Model ◽  
Car Model ◽  
Chaotic Vibration ◽  
Quarter Car

Controlling Chaotic Vibrations of a Quarter-Car Model Excited by Road Surface Profile using Parametric Excitation.

2021 ◽  
Vol 6 (3) ◽  
Author(s):  
Lawrence Atepor ◽  
Keyword(s):  
Parametric Excitation ◽  
Surface Profile ◽  
Equation Of Motion ◽  
Road Surface ◽  
Force Term ◽  
Quarter Car Model ◽  
Car Model ◽  
Chaotic Vibrations ◽  
Excitation Force ◽  
Quarter Car

Chaotic Vibrations are considered for a quarter-car model excited by the road surface profile. The equation of motion is obtained in the form of a classical Duffing equation and it is modeled with deliberate introduction of parametric excitation force term to enable us manipulate the behavior of the system. The equation of motion is solved using the Method of Multiple Scales. The steady-state solutions with and without the parametric excitation force term is investigated using NDSolve MathematicaTM Code and the nonlinear dynamical system’s analysis is by a study of the Bifurcations that are observed from the analysis of the trajectories, and the calculation of the Lyapunov. In making the system more strongly nonlinear the excitation amplitude value is artificially increased to various multiples of the actual value. Results show that the system’s response can be extremely sensitive to changes in the amplitude and the that chaos is evident as the system is made more nonlinear and that with the introduction of parametric excitation force term the system’s motion becomes periodic resulting in the elimination of chaos and the reduction in amplitude of vibration.

1⁄4 Car Model for Suspension Trim Corrector Performances Evaluation

2016 ◽  
Vol 823 ◽  
pp. 205-210
Author(s):  
Adrian Ioan Niculescu
Keyword(s):  
Contact Force ◽  
Harmonic Functions ◽  
Degrees Of Freedom ◽  
The Body ◽  
Vertical Acceleration ◽  
Vertical Movements ◽  
The Road ◽  
Quarter Car Model ◽  
Car Model ◽  
Quarter Car

The paper presents a complex quarter car model obtained with ADAMS software, View module, useful in the first stage of suspension dimensioning and optimization.The model is equipped with compression and rebound stopper buffer and suspension trim corrector.The proposed quarter car model with two degrees of freedom (wheel and body) performs all these goals allowing changing:Geometrical elementsPosition of equilibrium, depending on vehicle load;Trim correction;Elastic and dissipative characteristics of the suspension and tire;Suspension stroke;Road profile, assessed either by simple or summation of harmonic functions or reproducing real roadsBuffers (for stroke limitation) position and characteristics;The models developed provide information on:Vertical stability assessed by vertical movements of the body and the longitudinal and transversal stability evaluated based on adherence characterized by wheel ground contact force and frequency of soil detachment wheel.Comfort assessed on the basis of body vertical acceleration and collision forces to the stroke ends.The body-road clearanceThe trim corrector efficiencyAll above performances evaluated function the road unevenness, acceleration, deceleration, turning regime.The damping characteristic is defined by damping forces at different speed for each strokes respectively one for rebound and other for compression.The contact force road-wheel is defined based tire rigidity law.The stopper buffer forces on rebound and compression are defined based each specific rigidity characteristics.The road excitation is realized with a function generator.The software allow the model evolution visualisation in real time, also generating the diagrams of displacements, forces, accelerations, speeds, for each elements or for relative evolution between diverse elements.The simulation was realized for unloaded and fully loaded car using a road generated by a sum of harmonic functions presented in equation (8).The excitation covers the specific frequencies area, being under the body frequencies up to the wheel proper frequencies.The realized ¼ car model, have reached the goal to evaluate the suspension trim correction advantages.The simulations confirm the trim corrector increases the suspension performances, thus for the analyzed case the trim corrector increase simultaneous:Body-ground clearance (evaluated by body higher increasing) between 18.5÷55.1 %Body stability (evaluated by maximal body displacement) between 9.8÷11.4 %Body comfort (evaluated by maximal body acceleration) between 3.4÷35.5 %Adherence (evaluated by maximal and RMS wheel-groundcontact force variation) between 7.0÷12.1 %Body and axles protection (evaluated by buffer strike force) between 10.8÷38.2 %

Magnetorheological damper in semi-active vehicle suspension system using SDRE control for a quarter car model

2018 ◽  
Author(s):  
Maria Aline Gonçalves ◽  
Rodrigo Tumolin Rocha ◽  
Frederic Conrad Janzen ◽  
José Manoel Balthazar ◽  
Angelo Marcelo Tusset
Keyword(s):  
Suspension System ◽  
Magnetorheological Damper ◽  
Vehicle Suspension ◽  
Quarter Car Model ◽  
Car Model ◽  
Quarter Car ◽  
Vehicle Suspension System ◽  
Active Vehicle Suspension System

An insight into linear quarter car model accuracy

2010 ◽  
Vol 49 (3) ◽  
pp. 463-480 ◽  
Author(s):  
Damien Maher ◽  
Paul Young
Keyword(s):  
Model Accuracy ◽  
Quarter Car Model ◽  
Car Model ◽  
Quarter Car ◽  
Insight Into

Response of a quarter car model with optimal magnetorheological damper parameters

2013 ◽  
Vol 332 (9) ◽  
pp. 2191-2206 ◽  
Author(s):  
R.S. Prabakar ◽  
C. Sujatha ◽  
S. Narayanan
Keyword(s):  
Magnetorheological Damper ◽  
Quarter Car Model ◽  
Car Model ◽  
Quarter Car
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