Nonlinear dynamic beam under moving load with time delay feedback control

The bifurcation resulted from moving force may lead to instability for the system. With nonlinear time delay feedback controller, a nonlinear beam under moving load is discussed in the case of the primary resonance and the 1/3 subharmonic resonance. The bifurcation may be eliminated or the bifurcation point's position may be changed. The perturbation method is used to obtain the bifurcation equation of the nonlinear dynamics system. The result indicates time delay feedback controller may work well on this system, but the detailed chosen for proper time delay and its coefficient may reckon on the engineering condition.