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

The verification diagram for the P-NES and C-NES systems is presented. The P-NES system lacks a high-amplitude branch, which is characteristic of systems utilizing the C-NES. The critical value is significant in determining the performance of the P-NES system, as its stiffness fundamentally influences its effectiveness. Similar to the C-NES, when the shimmy is sustained, the system exhibits a robust veridical response. Consequently, the P-NES effectively mitigates the high-amplitude branch found in C-NES systems. Furthermore, the P-NES outperforms the C-NES in low damping scenarios, where the latter proves to be ineffective.

We also examine the feasible parameter domain of the TNS. It is preferable for the upper lambda 2 to be a large value. Within the feasible domain, the wheel rotational angle shows a strong correlation with the response. However, outside this region, the response diminishes. In low damping conditions, lambda 1 can vary from 0 to the maximum damping value of the C-NES. This indicates a significantly larger range. Notably, the feasible stiffness domain of the P-NES closely resembles that of the C-NES.