The reliability of blade is very important for steam turbine. Adding damping structure can decrease dynamic stress of blade. Firstly, the numerical model for dynamic analysis of damping blade has been developed. The following matrices which are necessary for Finite Element analysis have been obtained: the stiffness matrix, mass matrix and damping matrix of Finite Element for blade and damper, then the gross Finite Element motion equation of the blade can be obtained. Secondly, the response energy formula of blade has been obtained by analyzing the relation between exciting force and response of blade, the response energy can be taken as optimization goal, POWELL Penalty Function Method is adopted as optimization algorithm. At last, the dynamic characteristic of a real blade is analyzed, some numerical results such as response energy varied with normal press force have been obtained, the normal press force of rubbing surface has an apparent effect on the damp and response energy of blade, it can change the dynamic characteristic of blade, and there is an optimal normal press force, which can lead to the minimum response energy of blade, i.e. the optimal damper for blade.

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