13th International Conference on Fracture June 16–21, 2013, Beijing, China -7- { } { } 1 456789101112 2 1 2 3 1 2 3 , , , , , , , , , , , , , Z Z Z X xxxxxxx x x X D D D γ γ γ = = (11) Figure.3 Parameters of shroud Figure.4 Parameters of a section Figure.5 Convergence process of the close coupled field on the standard working speed 4.2. Result Analysis of Coupled Calculation on Turbine Blade Fig.5 shows the convergence curve of the fluid-solid closely coupled analysis at the standard working speed on turbine blade. The result of the steady state aerodynamics calculation conducts the initial condition for the coupled analysis. This way is in favor of convergence. It could be seen that several important indexes of the fluid field has reached convergence after three big shocks which respectively represent the process transferring three times of coupled data. The three shocks also reveal that the distortion of the structure has great influence on the flow field. Table.1 Result contrast between the closely coupled analysis and the aerodynamics analysis Max temperature(K) Min temperature(K) Max pressure(Pa) efficiency Aerodynamics 1332.11 853.625 603182 87.4964 Closely coupled 1339.07 889.327 599312 88.1004 Absolute error 6.96 35.702 -3870 0.604 Relative error 0.5225% 4.1824% -0.6416% 0.6903% Table 1 shows the calculation results of the closely coupled field and the single fluid field at the work speed. It could be found that the coupled field has the higher isentropic efficiency and the mass flow. The statistical results show the difference of minimum temperature is 35.702 °. The relative error of the maximum pressure and max temperature is respectively 0.64% and 0.5225%. Further comparing the stress and displacement before and after couple, table 2 gives the calculation results of the maximum displacement and maximum stress under various kinds of loads. Additionally, the centrifugal load and the aerodynamic load are separately considered. The aerodynamics load (A) is from the closely coupled analysis. The maximum stress of the closely
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