In view of the thermally induced vibration problem of space flexible manipulator，taking the central rigid body-rotatingbeam model as research object，an enhanced active constrained layer damping is partially covered on the surface of the flexiblebeam. The vibration control of the system under thermal impact load is studied. It is assumed that the base beam is a functionally graded material（FGM）beam which is suitable for the temperature field. The material properties are distributed along the axial gradient. Based on the rigid-flexible coupling modeling theory，the rotating FGM beam in the temperature field is dynamically modeled. Furthermore，numerical analysis methods are used to study the influence of parameters such as the position/coverage rate of the enhanced active constrained layer damping patch，temperature，structure width and central rigid body radius on the deformation of the structure end. After comparison，several factors that have a greater impact on structural vibration are found，including patch position，patch coverage and structure width. The structure can be optimized according to the research results to achieve the purpose of vibration suppression.