Effects of tip relief on vibration responses of a geared rotor system
Effects of tip relief on vibration responses of a geared rotor system
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DOI：
10.1177/0954406213500615
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发表时间：
2014-05
期刊：
影响因子：
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通讯作者：
Hui Ma;J. Yang;Rongze Song;Suyan Zhang;B. Wen
中科院分区：
文献类型：
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作者：
Hui Ma;J. Yang;Rongze Song;Suyan Zhang;B. Wen
利用ANSYS软件建立了考虑齿顶修缘的直齿圆柱齿轮啮合有限元模型。基于有限元模型计算了不同叶尖离隙量下的时变啮合刚度。在此基础上，利用MATLAB软件建立了齿轮传动转子系统的有限元模型，考虑了时变啮合刚度和恒定负载转矩的影响。重点研究了叶尖离隙对系统弯扭耦合振动响应的影响。结果表明，随着齿顶修缘量的增加，在接近作用位置和单齿向双齿过渡啮合区域，时变啮合刚度的突变减小。时变啮合刚度在幅频响应中激发了齿轮1和齿轮2的多个主共振和部分超谐波。随着叶尖离隙量的增加，由于时变啮合刚度的较高频率分量的变化，一些超谐波响应发生变化。齿顶修缘后，除某些共振频率外，在较低的啮合频率范围内振动和啮合力明显降低，但在较高的啮合频率范围内，齿顶修缘对振动的降低效果不明显。考虑齿顶修缘后，振动加速度的幅值波动明显减小，但随着啮合频率的增加，振动加速度的幅值波动并不明显。
Considering tip relief, a finite element model of a spur gear pair in mesh is established by ANSYS software. Time-varying mesh stiffness under different amounts of tip relief is calculated based on the finite element model. Then, a finite element model of a geared rotor system is developed by MATLAB software considering the effects of time-varying mesh stiffness and constant load torque. Emphasis is given to the effects of tip relief on the lateral–torsional coupling vibration responses of the system. The results show that as the amount of tip relief increases, the saltation of time-varying mesh stiffness reduces at the position of approach action and transition mesh region from the single tooth to double tooth. A number of primary resonances and some super-harmonic of gears 1 and 2 are excited by time-varying mesh stiffness in amplitude frequency responses. As the amount of tip relief increases, some super-harmonic responses change due to the variation in the higher frequency components of time-varying mesh stiffness. After tip relief, the vibration and meshing force decrease obviously at lower mesh frequency range except at some resonance frequencies; however, tip relief is not effective in reducing the vibration at higher mesh frequency range. The amplitude fluctuation of the vibration acceleration reduces evidently after considering tip relief, which is not remarkable with the increase of meshing frequency.