相交轴转子系统当量化建模与扭振响应分析  

IDEALIZED MODELING AND TORSIONAL VIBRATION ANALYSIS OF INTERSECTING SHAFT ROTOR SYSTEM

作　　者：陈立满 杨大炼 蒋玲莉 李学军 Chen Liman;Yang Dalian;Jiang Lingli;Li Xuejun(Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment,Hunan University of Science and Technology,Xiangtan 411201,China;School of Mechanical&Electrical Engineering,Foshan University,Foshan 528225,China)

机构地区：[1]湖南科技大学机械设备健康维护湖南省重点实验室,湘潭411201 [2]佛山科学技术学院机电工程学院,佛山528225

出　　处：《动力学与控制学报》2021年第1期87-95,共9页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11872022,51575177).

摘　　要：齿轮联结的相交轴转子系统具有转子不同体、不同速、不同轴线等结构特点,使其动力学建模异于常规转子系统,论文采用当量化建模方法,将相交轴转子系统转化为同转速、同轴线的转子系统并建立动力学模型,通过与已有研究对比验证了文中基于DyRoBeS当量化建模方法的有效性.以相交轴齿轮联结转子系统典型结构——某型直升机尾传动系统为研究对象,建立了当量化转子系统动力学模型,分析了系统各阶扭振临界转速及其组成、联结齿轮啮合刚度对扭振的影响、联结齿轮转动惯量对系统临界转速的影响,结果表明:传动系统第1、2阶临界转速为派生临界转速,其余8阶均源于各组成轴;中、尾减啮合刚度值与扭振的各阶共振峰值存在映射关系,部分啮合刚度值会激发共振极大值,应尽量避免;中、尾减啮合刚度变化会引发系统临界转速的变化,尤其是第1、2阶临界转速;不同阶临界转速对各个联结齿轮转动惯量的敏感性亦不同.论文从转子动力学角度研究了齿轮联结的相交轴转子系统的动力学特性,可为此类转子系统的结构优化设计及运行维护提供理论依据.Intersecting shaft gear-rotor system is composed of multiple shafts with different speeds and axes,and its dy⁃namic modeling is different from a coaxial rotor system.In this paper,the idealized modeling method was used to trans⁃fer the intersecting shaft gear-rotor system into the coaxial rotor system.The helicopter tail driven system,a typical inter⁃secting shaft gear-rotor system,was taken as the study object.The rotor dynamic model was established by the idealized modeling method based on the finite element softworne DyRoBeS.The natural frequencies and torsional vibration modes were obtained.The influences of both the moment of inertia and mesh stiffness of the coupling gear on natural frequen⁃cies were studied.The results showed that the 1st and 2nd natural frequencies are coupling natural frequencies,while the other ones of the first 10 natural frequencies are derived from the natural frequency of each component shaft.There is a mapping relationship between the resonance peaks and the meshing stiffness of the middle and tail reducers,and some meshing stiffness would induce resonance,which should be avoided.The meshing stiffness also has impacts on the criti⁃cal speeds,especially the 1st and 2nd ones.The sensitivity of different critical speeds to the moment of inertia of each cou⁃pling gear is also different.The results revealed in this paper provide a theoretical guideline for the optimal design on such a kind of rotor system.

关 键 词：转子系统 临界转速 齿轮联结 当量化建模 扭振响应 

分 类 号：TH133[机械工程—机械制造及自动化]