斜交弧齿锥齿轮耦合多转子系统振动分析方法

范叶森, 王三民, 杨振, 刘海霞

西北工业大学机电学院



摘要:

为解决斜交弧齿锥齿轮耦合多转子系统振动分析的问题,提出了一种振动分析建模方法.利用单节点6自由度振动微分方程通式,建立了单转子系统的振动微分方程;采用斜交弧齿锥齿轮副的总体耦合矩阵,将各单转子系统的振动微分方程耦合,得到整个齿轮耦合多转子系统的振动微分方程.求解多转子系统的振动方程,得到多转子系统的固有特性、振动响应和涡动轨迹等.计算结果表明,由于齿轮的耦合作用,多转子系统产生了新的模态;一个转子上的不平衡力可以激起其他的转子响应;轴交角的改变会使各节点的涡动轨迹发生改变;在进行振动分析时,必须考虑轴交角的影响.该振动分析建模方法是可行的,计算结果是可靠的.

关键词:  斜交弧齿锥齿轮  多转子系统  振动分析  建模方法

DOI：10.11918/j.issn.0367-6234.2011.03.023

分类号:TH113.1

基金项目:国家高技术研究发展计划资助项目(2009AA04Z404)



Vibration analysis method for multi-rotor system geared by angular spiral bevel gears

FAN Ye-sen, WANG San-min, YANG Zhen, LIU Hai-xia

School of Mechanical Engineering,Northwestern Polytechnical University,710072 Xi’an,China

Abstract:

A vibration analysis modeling method was presented to analyze the vibration of multi-rotor system geared by angular spiral bevel gear pairs.The vibration equations of a single-rotor system were obtained using the vibration equations formula of each node with six degrees of freedom.The global vibration equations of the entire geared multi-rotor system are established through the whole coupled matrixes of the angular spiral bevel gear pairs.The nature frequencies,critical speeds,amplitude-frequency diagram and whirling orbit etc,were obtained by analyzing the global vibration equations of multi-rotor system.The numerical analysis showed that the system produced some new modes and the exciting forces on a rotor of the system would evoke considerable responses of the other rotors for the gears mesh.The numerical example indicated that the whirling orbits of each node varied with the shaft angle of the spiral bevel gear pairs.The effect of the shaft angle must be taken into account when analyzing the vibration behavior of the geared multi-rotor system.The feasibility and the reliability of the method proposed for vibration analysis of geared multi-rotor system are proved by the numerical example.

Key words:  angular spiral bevel gear  multi-rotor system  vibration analysis  modeling method