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Vibration assist machining is a modern mechanical manufacturing technology which is aimed at achieving an efficient high-quality machining. This article focuses on a new-type vibration assisted machining platform which based on the stiffness and frequency requirement to obtain the key structural parameter and nature frequency of the platform by using the finite element method. Subsequently, static strength of the platform has been analyzed. Moreover, different excitation frequencies of the piezoelectric ceramics have been loaded at two vertical directions. The trajectory stability and characteristics of the platform under different actuating frequency have been figured out by using the finite element multi-body contact transient response analysis method. The results show that the nature frequency excitation results in large and destructive displacement. The steady-state response trajectory of the platform is elliptical under different excitation frequencies while under high excitation frequency it would become an elliptical moving. Once the unstable vibration time of platform increase, the unstable vibration amplitude would increase. The research results can provide a basis for the development of a new-type vibration assisted machining platform and the processing technology.