直齿锥齿轮系统动态特性参数解域界结构  

Solution Domain Structure for Dynamic Characteristic of a Straight Beve1 Gear System in a Two-parameter Plane

作　　者：田亚平[1] 王瑞邦 杨江辉 王建勤 卢杭 TIAN Yaping;WANG Ruibang;YANG Jianghui;WANG Jianqin;LU Hang(School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院,兰州730070

出　　处：《噪声与振动控制》2024年第4期15-21,共7页Noise and Vibration Control

基　　金：甘肃省科技厅计划资助项目(21JR7RA316,20YF8WA043);国家自然科学基金资助项目(12062008,11962011)。

摘　　要：为研究含间隙直齿锥齿轮系统的幅值跳跃、齿面冲击特性,用谐波平衡法建立系统动力学方程。在频率与间隙、时变刚度、静态综合误差和负载构建的参数平面内用Broyden拟牛顿法和伪弧长延续算法获得系统参数解域界结构,探索系统幅值跳跃、多值解和啮合冲击特性对参数的敏感性。结果表明在系统啮频和轴频主共振区均出现幅值跳跃和多值解现象,在啮频处动态特性更为复杂丰富。小间隙下存在严重的齿面冲击现象,当间隙b>0.98时系统的跳跃与齿面冲击均趋于稳定,系统动态特性对时变啮合刚度不敏感,在高速轻载、较大齿面误差激励下系统的非线性跳跃和齿面冲击均加剧。参数解域界结构为锥齿轮结构设计提供数据支持。In order to study the amplitude jump and tooth surface impact characteristics of the straight bevel gear transmission system with the backlash,the dynamic equations of the system is established by means of the harmonic balance method.In the two-parameter dimensional planes constructed by frequency and gap,time-varying stiffness,static comprehensive error,load and so on,the Broyden-quasi-Newtonian method and the quasi-arc-length continuation algorithm are used to obtain the parameter solution domain boundary structure of the system.Then,the sensitivity of amplitude jumping,multi-value solution and meshing impact characteristics to the parameters is explored.The results show that the amplitude jump and multi-value solution phenomena occur in the main resonance region at meshing frequency and axis frequency.Especially,the dynamic characteristics are very complex and abundant at the meshing frequency.There is the serious tooth surface impact phenomenon under the small backlash.while the jump and tooth surface impact of the system tend to be stable when the backlash b>0.98.The dynamic characteristics of the system are insensitive to time-varying meshing stiffness.Under the stimulation of high-speed light load or large tooth surface error,the nonlinear jumps and tooth surface impact of the system are aggravated.The proposed solution domain structure provides a data support for bevel gears structure design.

关 键 词：振动与波 直齿锥齿轮传动系统 谐波平衡法 解域界结构 非线性跳跃 齿面冲击 

分 类 号：TH132.422[机械工程—机械制造及自动化] O322[理学—一般力学与力学基础]