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SUMMARY The overhead electrification system for high speed trains is modeled by a three degree of freedom pantograph and an infinite homogeneous and elastically supported beam. Travelling wave solutions for the beam with a moving load are used to derive an equivalent stiffness for the pantograph model. The model is new in that it takes account of transverse motion due to catenary zig-zag effects. Finite element solutions are also obtained for the moving load problem. The results show that transverse zig-zag effects are the primary expected motion in this system. The calculations also show the expected importance of critical wave speeds in these systems.
Lesser et al. (Mon,) studied this question.