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Snubber and shroud have been widely adopted in steam turbine last stage   blades to decrease the vibration stress. The contact surfaces between snubber   and shroud own obviously fractal geometry characteristics. Based on fractal   geometry theory and finite element nonlinear vibration theory, the fractal   friction model that describes friction damping contact could be accurately   established. In this paper, the contact fractal elements are set up and the   nonlinear vibration response characteristics of a long steam turbine last   stage blade with snubber and shroud are calculated. The results show that,   with the increase of shroud normal force, the resonant amplitude of the blade   experiences a decreasing period followed by an increasing period while the   modal damping ratio increases first and then decreases when there is only   shroud contact. The regulations are similar when there are both shroud and   snubber contacts. The resonant frequency increases until the normal contact   forces increase to some degree

Study on vibration characteristics of damping blade with snubber and shroud based on fractal theory