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.

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

Simultaneous output selection and observer design for vehicle suspension system with unknown road profile

2021 ◽  
pp. 1-1
Author(s):  
Taha Falahati ◽  
Mehdi Mirzaei ◽  
Mohammad Javad Khosrowjerdi
Keyword(s):  
Suspension System ◽  
Observer Design ◽  
Vehicle Suspension ◽  
Road Profile ◽  
Vehicle Suspension System

Road profile measurement using the two degrees of freedom response-type mechanism

2014 ◽  
Vol 229 (6) ◽  
pp. 1074-1087 ◽  
Author(s):  
O Kavianipour ◽  
M Montazeri-Gh ◽  
M Moazamizadeh
Keyword(s):  
Degrees Of Freedom ◽  
Suspension System ◽  
Vehicle Suspension ◽  
Profile Measurement ◽  
Response Type ◽  
Two Degrees Of Freedom ◽  
Road Profile ◽  
Measured Profile ◽  
The Time Domain ◽  
Vehicle Suspension System

This paper deals with the two degrees of freedom response-type mechanism (2 DOF RTM) designed at Iran University Science and Technology. The applications of the 2 DOF RTM are to measure the longitudinal road profile and assess the vehicle suspension system. When the 2 DOF RTM is connected to a vehicle, it is able to measure the longitudinal road profile and it is capable of assessing the vehicle suspension system while it is perched upon the exciting device. The most important part of the 2 DOF RTM is its hub planned for decreasing the vehicle movement effects on the measurement. Moreover, this paper develops a novel procedure in order to convert the measured profile from the variable speed to the constant speed. To examine the 2 DOF RTM, a profile of a road is measured by the mechanism in the time-domain, and then the highly significant roughness indices such as power spectral density (PSD) of the road unevenness, international roughness index (IRI) and present serviceability index (PSI) are estimated using the measured profile.

Dynamical behavior of vibro-impact machinery near a point of codimension two bifurcation

2006 ◽  
Vol 292 (1-2) ◽  
pp. 242-278 ◽  
Author(s):  
G.W. Luo ◽  
Y.L. Zhang ◽  
J.N. Yu
Keyword(s):  
Dynamical Behavior ◽  
Codimension Two ◽  
Codimension Two Bifurcation

scholarly journals A NUMERICAL TOOLBOX FOR HOMOCLINIC BIFURCATION ANALYSIS

1996 ◽  
Vol 06 (05) ◽  
pp. 867-887 ◽  
Author(s):  
A.R. CHAMPNEYS ◽  
YU. A. KUZNETSOV ◽  
B. SANDSTEDE
Keyword(s):  
Numerical Analysis ◽  
Chemical Kinetics ◽  
Bifurcation Analysis ◽  
Homoclinic Orbit ◽  
Homoclinic Orbits ◽  
Homoclinic Bifurcation ◽  
Codimension Two ◽  
Codimension One ◽  
Homoclinic Bifurcations ◽  
Theoretical Results

This paper presents extensions and improvements of recently developed algorithms for the numerical analysis of orbits homoclinic to equilibria in ODEs and describes the implementation of these algorithms within the standard continuation package AUTO86. This leads to a kind of toolbox, called HOMCONT, for analysing homoclinic bifurcations either as an aid to producing new theoretical results, or to understand dynamics arising from applications. This toolbox allows the continuation of codimension-one homoclinic orbits to hyperbolic or non-hyperbolic equilibria as well as detection and continuation of higher-order homoclinic singularities in more parameters. All known codimension-two cases that involve a unique homoclinic orbit are supported. Two specific example systems from ecology and chemical kinetics are analysed in some detail, allowing the reader to understand how to use the the toolbox for themselves. In the process, new results are also derived on these two particular models.

scholarly journals Stability, Bifurcation, and Quenching Chaos of a Vehicle Suspension System

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
Chun-Cheng Chen ◽  
Shun-Chang Chang
Keyword(s):  
Chaotic Motion ◽  
Control Method ◽  
Homoclinic Orbits ◽  
Suspension System ◽  
State Feedback Control ◽  
Phase Portraits ◽  
Frequency Spectra ◽  
The Road ◽  
Dynamics And Control ◽  
Vehicle Suspension System

This study investigated the dynamics and control of a nonlinear suspension system using a quarter-car model that is forced by the road profile. Bifurcation analysis used to characterize nonlinear dynamic behavior revealed codimension-two bifurcation and homoclinic orbits. The nonlinear dynamics were determined using bifurcation diagrams, phase portraits, Poincaré maps, frequency spectra, and Lyapunov exponents. The Lyapunov exponent was used to identify the onset of chaotic motion. Finally, state feedback control was used to prevent chaotic motion. The effectiveness of the proposed control method was determined via numerical simulations.

scholarly journals Hopf Bifurcation Analysis in a Tabu Learning Neuron Model with Two Delays

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Yingguo Li
Keyword(s):  
Hopf Bifurcation ◽  
Theoretical Analysis ◽  
Bifurcation Analysis ◽  
Neuron Model ◽  
Dynamical Behavior ◽  
Bifurcation Parameter ◽  
Nonlinear Dynamical ◽  
Numerical Examples ◽  
Two Delays

We consider the nonlinear dynamical behavior of a tabu leaning neuron model with two delays. By choosing the sum of the two delays as a bifurcation parameter, we prove that Hopf bifurcation occurs in the neuron. Some numerical examples are also presented to verify the theoretical analysis.

Codimension-two bifurcation analysis in two-dimensional Hindmarsh–Rose model

2011 ◽  
Vol 67 (1) ◽  
pp. 847-857 ◽  
Author(s):  
Xuanliang Liu ◽  
Shenquan Liu
Keyword(s):  
Bifurcation Analysis ◽  
Two Dimensional ◽  
Codimension Two ◽  
Codimension Two Bifurcation

Approximations of the Homoclinic Orbits Near a Double-Zero Bifurcation with Symmetry of Order Two

2017 ◽  
Vol 27 (07) ◽  
pp. 1750109 ◽  
Author(s):  
Carmen Rocşoreanu ◽  
Mihaela Sterpu
Keyword(s):  
Normal Form ◽  
Blow Up ◽  
Homoclinic Orbits ◽  
Homoclinic Bifurcation ◽  
Second Order ◽  
Dimensional System ◽  
Double Zero ◽  
Codimension Two ◽  
Two Dimensional System ◽  
Codimension Two Bifurcation

The two-dimensional system of differential equations corresponding to the normal form of the double-zero bifurcation with symmetry of order two is considered. This is a codimension two bifurcation. The associated dynamical system exhibits, among others, a homoclinic bifurcation. In this paper, we obtain second order approximations both for the curve of parametric values of homoclinic bifurcation and for the homoclinic orbits. To perform this task, we reduce first the normal form to a perturbed Hamiltonian system, using a blow-up technique. Then, by means of a perturbation method, we determine explicit first and second order approximations of the homoclinic orbits. The solutions obtained theoretically are compared with those obtained numerically for several cases. Finally, an application of the obtained results is presented.

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