A design method of a
turbine high speed shaft. The method comprises the following steps: according to the design requirements and the
initial topology parameters, the initialization geometry model ofthe high-speed shaft is obtained, then the initialization geometric model axis is extracted, the
adhesive treatment is carried out, a geometric axis model of a high-speed shaft composed of multiple axes is generated, the material attribute and the cross-sectional outer
diameter of that geometrical axis model are then imparted, a
finite element method is used to discretize the geometrical axis model, and the boundary conditions are imposed, the finite
element model of high speed shaft is obtained, then, according to the structural performance requirements of the high-speed shaft, the size optimization model of the high-speed shaft is constructed, and then the size optimization model is solved to obtain the high-speed shaft optimization model, and the structural performance of the high-speed shaft optimization model is checked, and the local adjustment is carried out according to the checking result, and finally the high-speed shaft model satisfying the structural performance requirements is obtained. This design not only has short design period and high design benefit, but also has good structural performance.