Iterative Algorithm of HSR Ballastless Track Realignment Calculation Based on MCO Model

To avoid the over-reliance on measuring track outer geometry for ballastless track fine adjustment, a computing method of track realignment on the basis of track irregularities was proposed. Through establishing the vector models of track irregularities based on the inertia trajectory of track inspecting instrument, a successive over-relaxation iteration algorithm was constructed for the numerical solution of realignment value, and its convergence and its convergence rate were analyzed. The proposed method has been applied to the fine adjustment of ballastless track in certain high-speed railway to prove its effectiveness by kinematical survey. The research indicates that the computing method is convergent, and after finite iteration, the realignment value to meet the requirements of track irregularities can be obtained. The track quality index obtained by the kinematical survey is 2.26, being comparable to absolute adjustment.