scholarly journals Nonlinear Dynamics Analysis of the Semiactive Suspension System with Magneto-Rheological Damper

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Hailong Zhang ◽  
Enrong Wang ◽  
Fuhong Min ◽  
Ning Zhang ◽  
Chunyi Su ◽  
...  
Keyword(s):  
Dynamical Behavior ◽  
Period Doubling ◽  
Suspension System ◽  
Nonlinear Stability Analysis ◽  
Chaotic Motions ◽  
The Road ◽  
Road Profile ◽  
Road Excitation ◽  
Magneto Rheological ◽  
Period Doubling Bifurcations

This paper examines dynamical behavior of a nonlinear oscillator which models a quarter-car forced by the road profile. The magneto-rheological (MR) suspension system has been established, by employing the modified Bouc-Wen force-velocity (F-v) model of magneto-rheological damper (MRD). The possibility of chaotic motions in MR suspension is discovered by employing the method of nonlinear stability analysis. With the bifurcation diagrams and corresponding Lyapunov exponent (LE) spectrum diagrams detected through numerical calculation, we can observe the complex dynamical behaviors and oscillating mechanism of alternating periodic oscillations, quasiperiodic oscillations, and chaotic oscillations with different profiles of road excitation, as well as the dynamical evolutions to chaos through period-doubling bifurcations, saddle-node bifurcations, and reverse period-doubling bifurcations.

Analysis on Chaotic Vibrations of the Magneto-Rheological Suspension System

2016 ◽  
Vol 826 ◽  
pp. 28-34 ◽  
Author(s):  
Hai Long Zhang ◽  
Ning Zhang ◽  
Fu Hong Min ◽  
En Rong Wang
Keyword(s):  
Period Doubling ◽  
Dynamical Evolution ◽  
Suspension System ◽  
Chaotic Motions ◽  
Periodic Oscillations ◽  
Road Excitation ◽  
Force Velocity ◽  
Magneto Rheological ◽  
Lyapunov Exponent Spectrum ◽  
Period Doubling Bifurcations

The magneto-rheological(MR) suspension system has been established, by employing the modified Bouc-wen force-velocity (F-v) model of magneto-rheological damper(MRD). The possibility of chaotic motions in MR suspension is discovered by employing nonlinear systems stability theory. With the bifurcation diagram and corresponding Lyapunov exponent spectrum diagrams detected through numerical calculation, we can observe the complex dynamical behaviors and oscillating mechanism of alternating periodic oscillations, quasi-periodic oscillations and chaotic oscillations with different profiles of road excitation, as well as the dynamical evolution to chaos by period-doubling bifurcations, saddle-node bifurcations and reverse period-doubling bifurcations.

scholarly journals Effect of Road Profile on Suspension System of Heavy Truck

2019 ◽  
Vol 12 (2) ◽  
pp. 71-75
Author(s):  
Salem F. Salman
Keyword(s):  
Steering System ◽  
Suspension System ◽  
The Road ◽  
Road Profile ◽  
Road Roughness ◽  
Road Type ◽  
Heavy Truck ◽  
Main Factors ◽  
On The Road ◽  
The Stability

All vehicles are affected by the type of the road they are moving on it.  Therefore the stability depends mainly on the amount of vibrations and steering system, which in turn depend on two main factors: the first is on the road type, which specifies the amount of vibrations arising from the movement of the wheels above it, and the second on is the type of the used suspension system, and how the parts connect with each other. As well as the damping factors, the tires type, and the used sprungs. In the current study, we will examine the effect of the road roughness on the performance coefficients (speed, displacement, and acceleration) of the joint points by using a BOGE device.

DYNAMICS AND MODULATED CHAOS FOR TWO COUPLED OSCILLATORS

2004 ◽  
Vol 14 (01) ◽  
pp. 337-346 ◽  
Author(s):  
QINSHENG BI
Keyword(s):  
Coupled Oscillators ◽  
Dynamical Behavior ◽  
Period Doubling ◽  
Period Doubling Bifurcation ◽  
The Other ◽  
Van Der Pol ◽  
Parametrically Excited ◽  
Van Der Pol Oscillators ◽  
Period Doubling Bifurcations

The dynamical behavior of two coupled parametrically excited van der Pol oscillators is investigated in this paper. A special road to chaos is explored in detail. Period-doubling bifurcation associated with one of the frequencies of the system may be observed, the other frequency of the coupled oscillators plays a role in the evolution. It is found that one of the frequencies of the system contributes to the cascade of period-doubling bifurcations associated with the other frequency, which leads to a generalized modulated chaos.

scholarly journals The algorithm of adaptive control for active suspension systems using pole assign and cascade design method

2020 ◽  
Vol 9 (4) ◽  
pp. 271
Author(s):  
Chi Nguyen Van
Keyword(s):  
Control Method ◽  
Reference Model ◽  
Active Suspension ◽  
Suspension System ◽  
Control Force ◽  
Control Loop ◽  
The Road ◽  
Suspension Systems ◽  
Road Profile ◽  
Control Scheme

This paper presents the active suspension system (ASS) control method using the adaptive cascade control scheme. The control scheme is implemented by two control loops, the inner control loop and outer control loop are designed respectively. The inner control loop uses the pole assignment method in order to move the poles of the original system to desired poles respect to the required performance of the suspension system. To design the controller in the inner loop, the model without the noise caused by the road profile and velocity of the car is used. The outer control loop then designed with an adaptive mechanism calculates the active control force to compensate for the vibrations caused by the road profile and velocity of the car. The control force is determined by the error between states of the reference model and states of suspension systems, the reference model is the model of closed-loop with inner control loop without the noise. The simulation results implemented by using the practice date of the road profile show that the capability of oscillation decrease for ASS is quite efficient

Nonlinear Response of an Oscillator with a Magneto-Rheological Damper Subjected to External Forcing

2006 ◽  
Vol 5-6 ◽  
pp. 277-284 ◽  
Author(s):  
M. Borowiec ◽  
Grzegorz Litak ◽  
Michael I. Friswell
Keyword(s):  
Nonlinear Response ◽  
Excitation Frequency ◽  
Surface Profile ◽  
Model Parameters ◽  
Single Degree Of Freedom ◽  
The Road ◽  
Frequency Entrainment ◽  
Road Profile ◽  
Magneto Rheological ◽  
Profile Amplitude

This paper examines the dynamics of a single degree of freedom nonlinear model, representing a quarter of an automobile with a semi-active, nonlinear suspension. Assuming that the kinematic excitation caused by the road surface profile is harmonic, the principal resonance and frequency entrainment are obtained for regions of the model parameters. Changing the excitation frequency and road profile amplitude we analyze possible chaotic vibrations and bifurcations of the system.

scholarly journals State Estimation Based on Sigma Point Kalman Filter for Suspension System in Presence of Road Excitation Influenced by Velocity of the Car

2019 ◽  
Vol 2019 ◽  
pp. 1-16 ◽  
Author(s):  
Chi Nguyen Van
Keyword(s):  
Kalman Filter ◽  
State Estimation ◽  
Ride Comfort ◽  
Suspension System ◽  
Wheel Load ◽  
The Road ◽  
Sigma Point ◽  
Road Excitation ◽  
On The Road ◽  
Unsprung Mass

The states of the suspension system including the road excitation depend on the road quality, the velocity of the car, and the sprung mass. Those states play a very important role in the control problem of stability, ride comfort, ride safety, and dynamic wheel load of the suspension systems. The velocities and deflections of the sprung mass and unsprung mass would not be measured fully in the practice. Therefore, it must be estimated by other measured quantities from the system such as acceleration and deflection of sprung mass and unsprung mass. To control the active suspension system, its states need to be estimated accurately and guaranteed the response time. This paper presents the method using the sigma point Kalman filter to estimate the suspension system’s states including the road excitation, the deflections, and the velocities of the sprung mass and unsprung mass. The mathematical model of the suspension system is rewritten for the state estimation problem, and the stochastic load profile is supposed the main noise input. The stochastic characteristic of the road excitation depending on the car’s velocity is taken into account in the model used for suspension system state estimation. The results calculated based on the practical experiment data for specific road profile with some particular velocities of the car show that the suspension system states are estimated quite accurately in comparison with the practice states.

Chaotic Motions of a Constrained Pipe Conveying Fluid: Comparison Between Simulation, Analysis, and Experiment

1991 ◽  
Vol 58 (2) ◽  
pp. 559-565 ◽  
Author(s):  
M. P. Paidoussis ◽  
G. X. Li ◽  
R. H. Rand
Keyword(s):  
Analytical Model ◽  
Degrees Of Freedom ◽  
Simulation Analysis ◽  
Period Doubling ◽  
Critical Flow ◽  
Pipe Conveying Fluid ◽  
Chaotic Motions ◽  
Critical Flow Velocity ◽  
Period Doubling Bifurcations ◽  
Conveying Fluid

A refined analytical model is presented for the dynamics of a cantilevered pipe conveying fluid and constrained by motion limiting restraints. Calculations with the discretized form of this model with a progressively increasing number of degrees of freedom, N, show that convergence is achieved with N = 4 or 5, which agrees with previously performed fractal dimension calculations of experimental data. Theory shows that, beyond the Hopf bifurcation, as the flow is increased, a pitchfork bifurcation is followed by a cascade of period doubling bifurcations leading to chaos, which is in qualitative agreement with observation. The numerically computed theoretical critical flow velocities are in excellent quantitative agreement (5–10 percent) with experimental values for the thresholds of the Hopf and period doubling bifurcations and for the onset of chaos. An approximation for the critical flow velocity for the loss of stability of the post-Hopf limit cycle is also obtained by using center manifold concepts and normal form techniques for a simplified version of the analytical model; it is found that the values obtained in this manner are approximately within 10 percent of those computed numerically.

Study on MRAC Strategy of Suspension System Based on Magneto-Rheological Fluid Damper

2012 ◽  
Vol 490-495 ◽  
pp. 573-577
Author(s):  
Yong Qiang Gao ◽  
Jin Qiu Zhang ◽  
Jin Feng Jia ◽  
Jie Yue
Keyword(s):  
Adaptive Control ◽  
Lyapunov Stability Theory ◽  
Suspension System ◽  
Vehicle Body ◽  
Model Reference ◽  
The Road ◽  
Damping Control ◽  
Fluid Damper ◽  
Magneto Rheological ◽  
Model Reference Adaptive

Magneto-rheological fluid damper(MRFD) is one of new type damper. Based on MRFD, a new model reference adaptive control(MRAC) system is designed in this paper, and it employed sky-hook damping control as model reference. Lyapunov stability theory is used to deduce adaptive control law, and simulation result indicates that MRAC system is not only can follow sky-hook control quickly and well, and it also can adapt to the road conditons, varaition of vehicle body mass and suspension system parameter

Research on Active Control of Driver’s Seat Suspension System

2011 ◽  
Vol 105-107 ◽  
pp. 701-704
Author(s):  
Gong Yu Pan ◽  
Xue Ling Hao
Keyword(s):  
Active Control ◽  
Vertical Vibration ◽  
Suspension System ◽  
Matlab Simulation ◽  
Air Spring ◽  
The Road ◽  
Seat Suspension ◽  
Spring Suspension ◽  
Road Excitation ◽  
On The Road

In order to improve the driver confortness, the 5-DOF analysis mathematical car model with the active seat air-spring suspension system was built. Based on the linear stochastic optimal control theory (LQG), the signal of road’s input as excitation source was used to design the optimal law of this seat active control system. MATLAB simulation programming language was applicated for the response simulation. The results show that the control strategy on the road excitation system has a good applicability on controlling the vibration of the driver’s seat and active seat suspension can more effectively reduce the driver’s vertical vibration acceleration than passive seat suspension.

Codimension-Two Bifurcation Analysis of a Vehicle Suspension System Moving Over Rough Surface

2018 ◽  
Vol 18 (12) ◽  
pp. 1871012
Author(s):  
Chun-Cheng Chen ◽  
Shun-Chang Chang
Keyword(s):  
Bifurcation Analysis ◽  
Dynamical Behavior ◽  
Homoclinic Orbits ◽  
Suspension System ◽  
Nonlinear Dynamical ◽  
Codimension Two ◽  
Quarter Car Model ◽  
Road Profile ◽  
Vehicle Suspension System ◽  
Codimension Two Bifurcation

This paper examines the dynamics of a nonlinear semi-active suspension system using a quarter-car model moving over rough road profiles. The bifurcation analysis of the nonlinear dynamical behavior of this system is performed. Codimension-two bifurcation and homoclinic orbits can be discovered in this system. When the external force of a road profile was added to this system as a parameter with a certain range of values, a strange attractor can be found using the numerical simulation. Finally, the Lyapunov exponent is adopted to identify the onset of chaotic motion and verify the bifurcation analysis.

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