The stability analysis of two-wheeled vehicle model

This research investigates the stability of a two-wheeled vehicle model on the basis of numerical determination of full range of eigenvalues of a linear approximation matrix in the vicinity of the rectilinear driving mode. The received result was checked by numerical integration of the initial equat...

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Bibliographic Details
Main Authors: Gerlici, Juraj, Sakhno, Vladimir, Yefymenko, Alla, Verbitskii, Vladimir, Kravchenko, Alexandr, Kravchenko, Kateryna
Format: Conference Proceeding
Language:English
Subjects:
Armored vehicles
Eigenvalues
guiding wheeled module
Mathematical analysis
mathematical model
Mathematical models
Matrix methods
Numerical integration
Stability analysis
truck
Trucks
wheeled vehicle
Yaw
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Summary:This research investigates the stability of a two-wheeled vehicle model on the basis of numerical determination of full range of eigenvalues of a linear approximation matrix in the vicinity of the rectilinear driving mode. The received result was checked by numerical integration of the initial equations system of the disturbed motion of the model. The discrepancy of two research techniques is explained by the specialty of the considered mathematical model in which two pairs of complex conjugate eigenvalues close to each other are realized, that explains the emergence of standard derivations at calculating their numerical determination. The model is asymptotically stable in the range much wider than an operational interval (up to 100 m/s). In order to provide more intensive dampening of initial disturbances, it is possible to introduce additional resilient and damping elements between the trucks and the body in the design of the wheeled vehicle that will counteract the yaw mode of trucks.
ISSN:2261-236X
2274-7214
2261-236X
DOI:10.1051/matecconf/201815701007