关键词: 液体推进剂火箭发动机;涡轮转子;转子转速;传递矩阵+;质量分布

Abstract: According to the moving partial differential equations of the rotating Timoskenko beam,the 4×4 exact transfer matrix of the involved translational inertia,rotational inertia,gyroscopic moments and shear deformation of the distributed shaft mass were deduced.This matrix was also applied to three numerical examples of the critical rotation speeds calculations.The results of calculation show that the critical rotation speeds are different significantly when taking into account translational inertia,rotational inertia,gyroscopic moments and shear deformation of the distributed shaft mass or not.Meanwhile,the results of the transfer matrix method considering shaft mass etc.are consistent with the exact solutions on the condition which the equal cross section shaft do not need divide section.This shows that it just divides section of the shaft according to different cross section when calculating the practical critical rotation speeds.Therefore,the precision of transfer matrix is very high even if the number of divided section is very few.

Key words: Liquid propellant rocket engine;Turbine rotor,Rotor speed;Transfer matrix method~+;Mass distribution