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- W4385335124 abstract "Based on the stretched string tyre model, the constraint equation with consideration of the dynamic coupling between the front wheel shimmy and plane motion of the vehicle is derived. On this basis, a novel dynamic shimmy model of driver–vehicle–road system is proposed. The eigenvalues of the zero equilibrium point are solved and two critical vehicle speeds are obtained by solving the Jacobian matrix. For two critical vehicle speeds, the centre manifold theory is applied to reduce the dynamic system and examine the stability of the limit cycle. The stability region for different system parameters and road adhesion coefficients is also analyzed. Furthermore, the saddle node (SN) and Hopf bifurcation characteristics of the dynamic system considering the steering input are studied with the help of the complexification-averaging (CA) method. Then, the mathematical expression of the periodic solution is obtained, and the effects of system parameters and vehicle driving conditions on the bifurcation characteristics are also investigated. Numerical simulations are used to verify the accuracy of the CA method. According to the numerical and analytical results, measures to suppress vehicle shimmy are proposed." @default.
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- W4385335124 date "2023-07-28" @default.
- W4385335124 modified "2023-10-16" @default.
- W4385335124 title "Dynamic shimmy behavior and bifurcation analysis of driver–vehicle–road system" @default.
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- W4385335124 doi "https://doi.org/10.1007/s11012-023-01691-0" @default.
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