Continuous Parameter Model and Vibration Modal of Splitter Vane Rotor

The continuous parameter model which was used to investigate the splitter vane rotor was introduced.The blades of the model were Timoshinko beam and the disc was treated as thin plate.The boundary conditions and the continuity conditions were satisfied by means of artificial springs introduced between the disk and the blades,which greatly simplified the choice of admissible function in Ritz procedure.The model was solved by the Ritz method,and the orthogonal polynomials generated by the Gram-Schmidt process were employed as admissible function for both disk and blades.With this approach,the matrix derived from kinetic energies becomes diagonal and numerical manipulation can become easy and stable.At last,a splitter vane rotor structure wass investigated using the Combined Model of the present work.Some results were compared with those obtained by professional FEA software ANSYS.Very good agreement among the results is demonstrated.