The application of intelligent material systems and structures is very extensive, which is not only in sophisticated weapons for national defense such as aircraft, ships, but also in various fields of the national economy. They are of great strategic significance especially in the field of high technology. Currently the main materials of intelligent material systems and structures include shape memory materials, piezoelectric materials (including piezoelectric ceramics and piezoelectric polymer), electrostrictive material, optical fiber and the current variant and magnetic current variant, etc. A material system and structure integrating driving, sensing and controlling can be achieved by combining the use of these smart materials' function, with ingenious and exquisite composite design and fabrication. This paper adopts the finite element method that is widely used in engineering to model the plate structure. It analyzes the finite element and implements numerical simulation research on the active vibration control.