Keywords: gyroscopic forces, contribution rate, stability, wheelset.

Hunting stability is a key factor of how a vehicle can operate at high-speed. For linear systems, eigenvalues of the linear differential equations, damping coefficient method and Routh-Hurwitz criteria are used to determine whether the vehicle is in a state of motion instability. These methods may be used to determine whether the vehicle is in a state of instability, but cannot be used to explain the role of gyroscopic forces in the stability. This paper considers how much the gyroscopic force contributes to the stability. The paper provides a further derivation, on the basis of the Seyranianand and Kliem, to obtain the extreme inequality stability criterion without gyroscopic force terms. It defines a stability coefficient of the complete mechanical system and a stability coefficient of the mechanical system without gyroscopic force terms, which can be used to determine the level of the stability. In addition, the paper defines a gyroscopic force contribution rate as the basis for researching gyroscopic force effects. Using the gyroscopic force contribution rate formula, the stability of wheelset was researched. In addition the analytical formula for the gyroscopic force contribution rate for a wheelset, the relationship between stiffness, equivalent conicity and gyroscopic forces contribution rate were studied.

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