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 06:35
NODYCON 2025 The Proposed Method: P-NES Bifurcation diagrams of P-NES and C-NES The P-NES has no high-amplitude branch, 0.08 0.08 which is present in systems with the C- picewise NES Cubic NES Case 4 0.08 NES. 0.06 0.06 Case 1 A1 = 1 A0 [rad] 0.06 A0 [rad] 0.04 Case 2 An [rad] X1 = 5 0.04 X1 20 Case 2 The critical value, a_cr, plays an important 0.04 A1 = 34 Fourth International Nonlinear Dynamics Conference role in governing the performance of the 0.02 0.02 0.02 32.32 (0.002) 7.58 Case 3 P-NES system. 0.005 0.01 0.015 0.01 0.02 0.03 0.04 X₁ [Ns/m] acr [m] The stiffness of the P-NES fundamentally (d1) Case 1 (d2) Case 2 (d3) Case 3 (d4) Case 4 0.04 0.04 0.05 determines its performance, similar to the HighBranch 0.01 HighBranch 0.02 LowBranch 0.02 LowBranch C-NES case. 0.005 Θ [rad] Θ [rad] Θ [rad] Θ [rad] -0.005 -0.02 -0.02 -0.01 -0.04 -0.04 -0.05 t [s] t [s] t [s] t [s] Effects of the P-NES The P-NES effectively eliminates the high-amplitude branch present in systems employing C-NES. The P-NES demonstrates superior performance in low-damping regimes where the C-NES proves ineffective. 6/18/2025
Share slide
Summary (AI generated)

The verification diagram for the Piecewise Nonlinear Energy Sink (P-NES) and the Continuous Nonlinear Energy Sink (C-NES) is presented. The P-NES does not exhibit a high-amplitude branch, which is characteristic of systems utilizing the C-NES.

A critical value significantly influences the performance of the P-NES system, with its stiffness being a fundamental determinant of performance. In situations where shimmy is present, the system demonstrates a strong veridical response.

The P-NES effectively limits the high-amplitude branch found in C-NES systems. Furthermore, the P-NES shows superior performance in low damping regimes, whereas the C-NES is less effective in these conditions.