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 01:10
NODYCON 2025 Single Wheel System Shimmy Model Single Wheel System (SWS) Single Wheel System Model Governing equation of SWS Those three equations are employed to Fourth International Nonlinear Dynamics Conference describe the rotation w.r.t the kingpin, -(K,,+K,Rry})(t)-F,\e+Ry) the lateral force of the tire, and the Cw,Kw relationship of the side-slip angle with rotational angle. Kingpin Magic formula tire model The magic formula tire model can be simplified as a polynomial. zKy(a-qa³) ≈ Elastic Lateral tyre Stretched-string tire model deformation oà(t)+ a6(t) +ua(t)-u(t)=0 Tyre string Contact surface 6/17/2025
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Summary (AI generated)

Our study concentrated on a single wheel system shimmy model, as illustrated in the figure on the left. We developed a dynamic model that integrates the governing equation of the single wheel system, the magic formula tire model, and the stretched-string tire model. These three equations are utilized to describe the rotation relative to the kingpin, the lateral force exerted by the tire, and the relationship between the slip angle and the rotational angle. Furthermore, the magic formula tire model can be simplified into a polynomial form.