带冠涡轮叶片干摩擦非线性响应分析方法

To obtain the stress results related to high cycle fatigue in the vibration-suppression design of shrouded turbine blades，a design method for the dry friction nonlinear stress response analysis of shrouded turbine blades was built by solving the nonlinear steady-state forced response with dry friction through reduced order model， harmonic balance method and alternating frequency-time method. The resonant responses under different initial normal forces and excitations were obtained for the zig-zag shroud turbine blade. The results indicated that an increase in initial normal force could cause typical "tilting" and soft characteristics in amplitude frequency response function. Under the same exciting force，the resonance amplitude showed a trend of first decreasing and then increasing with the increase of initial normal force. Under the same normal force，as the exciting force increased，the response amplitude showed a trend of first rapidly growing and then stabilizing. The first-order mode participation coefficient was much higher than the others，indicating that the vibration of shrouded blades was mainly represented by the first-order mode. Maximum resonance stress with nonlinear contact forces of shrouded turbine blade body was 118.94 MPa.