scholarly journals Theoretical and experimental study on the nonlinear dynamics of wheel-shimmy

2019 ◽  
Vol 98 (4) ◽  
pp. 2581-2593 ◽  
Author(s):  
Sandor Beregi ◽  
Denes Takacs ◽  
Gergely Gyebroszki ◽  
Gabor Stepan
Keyword(s):  
Nonlinear Dynamics ◽  
Experimental Study ◽  
Wheel Shimmy

Experimental Study of the Nonlinear Dynamics of an Actively Q-Switched Ytterbium-Doped Fiber Laser

2012 ◽  
Vol 48 (11) ◽  
pp. 1484-1493 ◽  
Author(s):  
Y. O. Barmenkov ◽  
A. V. Kir'yanov ◽  
M. V. Andres
Keyword(s):  
Nonlinear Dynamics ◽  
Experimental Study ◽  
Fiber Laser

Experimental Study of Human Walking to Running Dynamics With Applications to Energy Harvesting

2012 ◽  
Author(s):  
Zach Ballard ◽  
Brian P. Mann
Keyword(s):  
Nonlinear Dynamics ◽  
Experimental Data ◽  
Image Processing ◽  
Experimental Study ◽  
Energy Harvesting ◽  
Human Walking ◽  
Skill Levels ◽  
Processing Software ◽  
Image Processing Software ◽  
Leg Motion

The nonlinear dynamics of a runner are reported here. Image processing software is used obtain experimental data of the 2-D leg motion of the athlete. The available power that the athlete creates from this motion is calculated for multiple speeds. The multi-frequency motion is then filtered, recreated numerically, and compared to the experimental data. This entire process is repeated for multiple athletes of different backgrounds and skill levels. The frequencies at which large amounts of power are available are compared for each athlete in order to find any possible commonality.

Nonlinear wavy phenomena into plasma: some cases of stabilization and control of chaotic behaviors

2011 ◽  
Vol 77 (5) ◽  
pp. 679-692 ◽  
Author(s):  
CONSTANTINE L. XAPLANTERIS ◽  
ELENI FILIPPAKI
Keyword(s):  
Nonlinear Dynamics ◽  
Experimental Study ◽  
Nonlinear Theory ◽  
Chaotic Behavior ◽  
Argon Plasma ◽  
Wave Interaction ◽  
Electric Signal ◽  
Theoretical Justification ◽  
Wave Coupling ◽  
And Control

AbstractStabilities, instabilities and turbulences have always appeared into a cylindrical magnetized argon plasma. These phenomena are caused by linear or nonlinear dynamics and are interpreted with the linear or nonlinear theory accordingly. In this paper, an experimental study accompanied by theoretical justification and based on the wave–wave interaction has been made; an azimuthally moved driving wave is enforced in a very simple way. The turbulence stabilization, the wave coupling, the instability synchronization and other wavy interactions, which are caused by using an external spatiotemporal electric signal, are presented. The research of the wavy subjects continuing in our laboratory aspires to comprehend the plasma chaotic behavior and take a step into suppressing the unstable inclination.

Analysis of Hopf Bifurcation of Steering Wheel Shimmy of Automobile

2013 ◽  
Vol 344 ◽  
pp. 61-65
Author(s):  
Li Juan He ◽  
Yu Cun Zhou
Keyword(s):  
Nonlinear Dynamics ◽  
Hopf Bifurcation ◽  
Numerical Analysis ◽  
Limit Cycle ◽  
Critical Speed ◽  
Stable Limit Cycle ◽  
Steering Wheel ◽  
Stable Limit ◽  
Supercritical Hopf Bifurcation ◽  
Wheel Shimmy

It proves that steering wheel shimmy is a vibration of stable limit cycle occurring after Hopf bifurcation, which is elaborated by nonlinear dynamics theory, and the control objectives of shimmy are proposed according to its bifurcation properties. Numerical analysis of bifurcation characteristics has been conducted with a nonlinear shimmy model whose parameters come from a domestic automobile with independent suspension. The results indicate that when the speed reaches 49.98Km/h, supercritical Hopf bifurcation occurs to the system and stable limit cycle appears, i.e. wheels oscillate around the kingpin at the same amplitude; when the speed comes to 76.30 Km/h, Hopf bifurcation occurs again and limit cycle disappears. The bifurcation speed and amplitude of limit cycle match the shimmy speed and amplitude measured from road experiments very well, which confirms the conclusions that shimmy is a vibration of stable limit cycle occurring after Hopf bifurcation at critical speed.

Analysis of chaotic dynamics for aircraft assembly lines

2018 ◽  
Vol 38 (1) ◽  
pp. 20-25 ◽  
Author(s):  
Bo Xin ◽  
Yuan Li ◽  
Jian-feng Yu ◽  
Jie Zhang
Keyword(s):  
Nonlinear Dynamics ◽  
Experimental Study ◽  
Learning Curve ◽  
Production Rate ◽  
Learning Ability ◽  
Practical Case ◽  
Assembly Lines ◽  
Content Type ◽  
Time Dynamics ◽  
Aircraft Assembly

Purpose The purpose of this paper is to investigate the nonlinear dynamics of the aircraft assembly lines. An approach for modeling and analyzing the production rate of an aircraft assembly line is introduced using the chaos theory. Design/methodology/approach First, two key system variables including reliability and learning ability are considered to control the dynamics model. The discrete-time dynamics equation of the production rate is established as a function of the reliability and the learning rate. Then an improved Gauss-learning curve is proposed and applied to aircraft assembling condition. Finally, the bifurcation diagrams and the maximal Lyapunov exponents are used and applied to the experimental study to analyze the dynamic behavior under different combinations of parameters. Findings On the basis of the experimental study, it is shown that chaotic behavior really exists in the aircraft assembly lines. The reliability and the Gauss-learning curve can nonlinearly affect the production rate. Originality/value This paper applied nonlinear dynamics and chaotic theory to the production analyses of the aircraft assembly lines for the first time. The proposed model has been successfully applied to a practical case, and the result justifies its advantage as well as feasibility to both theory and engineering application.

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