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The solid and finite element model of metal pushing type continuously variable transmission are established at speed ratio of i=0.5 and i=2.0.In order to solve the problem of the complicated of structure,the node-node rod discrete finite element model is put forward and the whole system is simplified and established.The natural frequency and mode shape of system are solved by iterative Lanczos-reduce method for sensitivity analysis in finite element model.The new method and the result can be used to improve the smoothness of the variable transmission system and to propose the theory for reducing noise at operation.