涡轮泵转子的临界转速研究──(Ⅰ)均匀支承转子临界转速的传递矩阵法

STUDY ON CRITICAL ROTATIONAL SPEED OF TURBO PUMP ROTORS (Ⅰ)THE TRANSFER MATRIX METHOD FOR HOMOGENEONS SUPPORT ROTORS

关键词:  液体推进剂火箭发动机  涡轮转子  转子速度  传递矩阵法＋  数值仿真

Key words:  Liquid propellant rocket engine  Turbine rotor  Rotor speed  Transfer matrix method +  Numerical simulation

摘要:

根据转子振动时的受力和位移状况，分别导出轴、盘和支承的传递矩阵，再根据转子的结构布局导出频率和振幅等的计算方程，可求得转子的各阶临界转速及振幅。传递矩阵法对转子的不同布局方案运用十分方便灵活。还给出了减振阻尼、支承弹性的组合刚度计算方法。计算表明，支承的弹性、阻尼和质量对转子的振动特性（临界转速和振幅）有重大影响，转子与支承的匹配对转子的振动特性能起调节控制作用。

Abstract:

According to the conditions of acting force and displacement,the transfer matrices of the shaft,plate and support were respectively derived.The calculation equations of frequency and amplitude were deduced based on the overall arrangement of rotor structure.From this,with the critical rotation speed and amplitude for every step solved.the methods of compound stiffness for calculating the vibration damping and support elasticity were given.The calculated result specifies that elasticity,damping and mass of support have important influence upon the vibration properties of rotor(critical rotation speed and amplitude)and that the matching of rotor and supports can play adjust and controll the vibration properties of the rotor.