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The solutions near the hunting speed are constructed with an asymptotic expansion of a small perturbation parameter using the method of multiple scales.
Because of the coupled nature of these bogies, a pair of complex conjugate roots exists in the linearized system close to the origin in addition to the most dominant pair of roots at the hunting speed.
The vehicle's critical hunting speed is determined by Lyapunov's indirect method.
In addition, the influences of the physical parameters, including those missing in the six-degrees of freedom system, on the critical hunting speed of trucks are also examined.
In addition, the critical hunting speed evaluated via the heuristic nonlinear creep model is lower than that derived using a linear creep model.
After applying the optimization procedure presented in this paper, the vehicle's critical hunting speed can be no longer sensitive to wheel conicity.
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Cheetahs attained hunting speeds of up to 18.94 m s−1 and accelerated up to 7.5 m s−2 with greatest angular velocities achieved during the terminal phase of the hunt.
It is shown that the critical hunting speeds evaluated using the 10-DOF system differ significantly from those calculated using a system with six-DOF.
The influences on the critical hunting speeds of certain physical parameters not considered in the six-DOF system are evaluated for wheels of different conicities.
It is shown that the critical hunting speeds evaluated using the eight-degrees of freedom system differ significantly from those calculated using a system with six-degrees of freedom.
Higher hunting speeds are seldom observed, as they do not increase the capture rate but are energetically expensive.
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