| Two pantographs are used for current collection in the operation of electric railway reconnection trains. Influenced by the front pantograph, the current collection performance of the rear pantograph is poor. The aim of this paper is mainly to conclude the influence of space between double pantographs on the current collection performance of the rear pantograph and explain the influence mechanism from the perspective of catenary vibration.The main work and research results are as follows:1. The steady state model of3D catenary is built. This paper treats the catenary as a combination of two-node nonlinear cable elements and truss elements. By accurate equations of cable and truss, the tangent matrices for node coordinates and element unstrained lengths are derived. According to structural topology information, the nonlinear equilibrium equation is built. Through solving the equation by Newton-Raphson method the3D initial equilibrium state of catenary is built.2. The pantograph/catenary coupled dynamic model is built based on the steady state catenary model and lumped mass pantograph model. First, the motion equation of the catenary and the pantograph are established respectively. Then the penalty method is used to couple the motion equations of the pantograph and the catenary. The Newmark method is used to solve the motion equation.3. The catenary/pantograph interaction process is simulated with various operation speeds and various pantograph spaces. According to simulation results, standard deviation of contact force of the rear pantograph varies periodically with pantograph spaces. When the space of two pantographs is equal to the negative space, the catenary vibration excited by the front pantograph cause causes resonance of the rear pantograph in contact point. 4. A simplified model for catenary is proposed. Vibration of the simplified model is calculated. The similarity of dynamic response of the simplified model and the finite element model are shown. |
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