考虑齿轮腹板柔性的齿轮-转子横向振动特征研究

Study on Lateral Vibration Characteristic of Gear Rotor Considering Flexibility of Gear Web

航空用齿轮具有结构轻量化和低刚性的特点,在齿轮副内部激励作用下容易发生横向振动,研究航空齿轮横向振动固有特性对航空齿轮设计十分必要。考虑齿轮腹板柔性、轴承刚度、齿轮轮齿啮合柔性,利用转子动力学有限元软件Samcef建立齿轮-转子有限元模型,计算出高速齿轮转子系统的固有频率、振型以及临界转速。基于Timoshenko节点动力学模型,计算出高速齿轮转子系统的固有频率、振型以及临界转速。两种模型计算出的齿轮-转子系统固有特性进行对比表明:考虑齿轮腹板柔性的Samcef有限元方法,可以得到齿轮-转子系统齿轮横向振动的频率值及振型,没有考虑齿轮柔性的Timoshenko梁单元方法,不能得到齿轮横向振动的频率值及振型。

The aeronautical gear has the characteristics of light weight and low rigidity.It is easy to take lateral vibration under the internal excitation of the gear pair.It is necessary to study the inherent characteristics of the lateral vibration of the aeronautical gear for the design of the aeronautical gear.The flexibility of the gear web,the stiffness of the bearing and the gear meshing stiffness are considered,the finite element model of the gear rotor is established by the finite element software for rotor dynamics named Samcef,and the natural fre.quency,vibration mode and the critical speed of the high-speed gear rotor system are calculated.Compared with the inherent characteristics of the gear rotor system without consideration of flexibility,it is shown that the frequency values and modes of the lateral vibration of the gear rotor system can be obtained by considering the flexibility of the gear web.Without considering the flexibility of gears,the frequency and mode shapes of lateral vibration of gears can't be obtained.