考虑齿顶修缘的齿轮．转子系统振动响应分析.pdfVIP

第 50卷第 7期 2014年 4 月 机 械 工 程 学 报 JOURNAL OF MECHANICAL ENGINEERING Vo1．50 NO．7 Apr． 2014 DoI： lO．3901／JM E．2014．07．039 考虑齿顶修缘的齿轮．转子系统振动响应分析木 马 辉 ，2 逄 旭 宋溶泽 杨 健 张素燕 (1．东北大学机械工程与 自动化学院 沈阳 110819； 2．重庆大学机械传动国家重点实验室 重庆 400044) 摘要：考虑齿轮齿顶修缘，基于ANSYS软件建立了直齿轮啮合有限元模型，基于该模型确定了未修缘以及不同修缘量下的 时变啮合刚度和静态传递误差，并将其引入齿轮．转子系统的有限元模型，分析了齿顶修缘对系统振动响应的影响。研究表 明：随着齿顶修缘量的增加，时变啮合刚度以及静态传递误差在啮入点以及单双齿啮合区交替处的突变减少；在一定转速内， 系统振动响应的幅值降低，但在某些临界转速附近反而有增大的趋势；当齿轮啮合频率等于系统固有频率或分频时会出现共 振峰，在某些修缘量情况下一些分频对应的共振峰消失，研究结果可为修形齿轮的动态响应计算和结构设计提供理论依据。 关键词：齿顶修缘；齿轮．转子系统；时变啮合刚度；静态传递误差；振动响应 中图分类号：THl13 Vibration Response Analysis of a Geared Rotor System Considering the Tip Relief MA Hui · PANG Xu SONG Rongze YANG Jian ZHANG Suyan (1．School ofMechanicalEngineeringAutomation，NortheasternUniversity,Shenyang 110819； 2．State Key Laboratory of Mechanical Transmission，Chongqing University,Chongqing 400044) Abstract：Considering the tip relief,a finite element model(FEM)of a spur gear pair in mesh is built by ANSYS software． Time-varying mesh stifness and static transmission error with diferent amounts of tip relief are calculated based on the FEM．Then a finite element model of a geared rotor system is developed by considering the efects of the time·varying mesh stifn ess and static transmission eror,and the efect of the tip relief on the system vibration response is analyzed．The results show that as the amount of the tip relief on the gear increases，the saltation of the time，varying mesh stifn ess and static transmission eror decreases at the position of approach action and transition mesh region from the single—tooth to the double-tooth．The vibration amplitude significantly decreases at certain speeds，but it has an increase tendency in the vicinity of some critical speeds．A resonance peak appears when the gear mesh frequency is equal to the natural frequency or its fractional frequency；however,some resonan ce peaks coresponding to some fractional frequencies disappear at some am ounts of the tip relief． Key words：tip relief；