Wheel shimmy suppression through the piecewise nonlinear energy sink: elimination of detrimental isolas - presented by Prof. Giuseppe Habib

Wheel shimmy suppression through the piecewise nonlinear energy sink: elimination of detrimental isolas

Prof. Giuseppe Habib

Prof. Giuseppe Habib
Slide at 02:01
NODYCON 2025
Single Wheel System Shimmy Model
0.12
A₀(Original)
[Nms/rad]
A₀(Approximating)
Cw = 36
[Nms/rad]
Key Points:
0.08
Aₐ(Original)
Cw = 39 [Nms/rad]
A,(Approximating)
0.08
This model effectively characterizes the shimmy
0.05
angle [rad]
A₀ [rad]
phenomenon within the critical velocity range.
0.06
Fourth International Nonlinear Dynamics Conference
Amplitude [rad]
0.06
0.04
-0.05
0.04
Hopf bifurcations emerge at both boundaries of
t [s]
0.02
the shimmy velocity range, called critical
0.02
velocities.
u [m/s]
u [m/s]
The velocity range is impacted significantly by
Bifurcation region for speed
The effect of kingpin damping
the system parameters, such as kingpin damping,
0.12
stiffness, and tire stiffness.
Kw = 7350 [Nm/rad]
Ky = 24696
[N/rad]
Kw = 8820 [Nm/rad]
Ky = 27000
[N/rad]
Kw = 9600 [Nm/rad]
0.08
Ky = 28224
[N/rad]
0.08
0.06
AΘ [rad]
0.06
AΘ [rad]
0.04
0.04
0.02
0.02
u [m/s]
u [m/s]
The effect of kingpin stiffness
The effect of tire stiffness
6/17/2025
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Summary (AI generated)

Our study examines the application region of the single wheel system shimmy model, as illustrated in the accompanying figure. This model effectively characterizes the behavior of the system within the critical velocity range. Bifurcations occur at both boundaries of this range, which is influenced significantly by system parameters including damping, sharpness, and chair darkness.