Novel method and model for dynamic reliability optimal design of turbine blade deformation

Turbine blade radial deformation seriously influences the Blade-Tip Radial Running Clearance (BTRRC) of the high pressure turbine and the performance and reliability of gas turbine engine. For blade radial deformation design under gas turbine operating conditions, Extremum Response Surface Method (ERSM)-based Support vector machine of Regression (SR) (SR-ERSM) and Importance Degree Model (IDM) were proposed for structural dynamic reliability optimal design. The mathematical model of SR-ERSM was established by taking SR model as an extremum response surface function. The IDM was developed by considering important random parameters obtained by probabilistic analysis. The proposed SR-ERSM and IDM were applied to the reliability optimal design of turbine blade radial deformation based on nonlinear material properties and time-varying loads. The optimization results show that SR-ERSM and IDM are promising to reduce additional design samples and calculated load as well as improve computational efficiency with acceptable precision for nonlinear dynamic structural optimized design. Moreover, a viable design value of blade radial deformation is gained for BTRRC control and high-performance high-reliability gas turbine design. The presented efforts provide a high-efficiency and high-accuracy method and a rapid model for dynamic optimization design of structures for further research as well as enriching mechanical reliability design theory.