Abstract:Considering present situation that Hamilton theory need using complex manual deduction to establish vibration equations of the vehicle multi-body system, the principle of “set in the right position” in Hamilton theory was improved, to accord with the numeration rules in the finite element method, which can establish vibration equations of the system quickly using computer. Based on building the vertical model of the vehicle-track coupling system, vibration equations of this system was established using the above method, and a corresponding calculation program was compiled with MATLAB. Finally, the validity of this method was proved by analysis on vertical vibration characteristic of the vehicle-track coupling system under the track irregularities of welded concave joints.