..., the unstable parameter range of the dynamic model is obtained based on the Lyapunov’s first approximation theorem and Hopf bifurcation theory. The stability analysis results show that the steering system of heavy mining dump trucks is a self-excited vibration system because of the Hopf bifurcation...

... the nonlinear response. Moreover, the stable two-mode solution may lose stability via a Hopf bifurcation at HB1, and another Hopf bifurcation at HB2 can be observed in the unstable solution branch. Fig. 9 Frequency-response curves of the beam on the elastic foundation with f 2 = 0 . 010...