融合齿背接触机理的圆柱斜齿轮振动特性分析与双面修形优化研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (24) : 53-60.

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王峰1 朱彦霖2 徐兴1 陈龙1 周之光3 孙晓强1

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A study on vibration characteristics of a cylindrical spur gear with the contact mechanism of back teeth and optimization of double teeth surfaces modification

WANG Feng1 ZHU Yanlin2 XU Xing1 CHEN Long1 ZHOU Zhiguang3 SUN Xiaoqiang1

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摘要

为了更合理地分析高速圆柱斜齿轮非线性振动特性、有效抑制齿面振动，通过考虑增/减速状态的轮齿承载接触模型，建立了考虑齿背接触特性的圆柱斜齿轮动态啮合刚度，得出齿面啮合刚度同时与啮合时间和齿面振动位移之间的耦合机理；进一步建立考虑齿面/齿背啮合刚度、线外啮合冲击激励的高转速圆柱斜齿轮传动系统非线性振动模型，并在此基础上展开同时计及齿面、齿背接触状态的双齿面减振修形优化研究。实例计算结果表明，计及齿背啮合刚度的振动加速度明显大于未考虑齿背啮合刚度的振动加速度，且系统表现出更加复杂的分叉特性；相较于标准齿面和单面修形，双面修形的圆柱斜齿轮具有最小的齿面振动加速度，且双面修形齿面在减缓圆柱齿轮振动的同时，也增大了系统可供稳定工作的转速区间范围，具有较好的工程实际应用价值，对提升系统稳定性设计有着积极的指导意义。

Abstract

In order to effectively analyze the nonlinear vibration characteristics of a high-speed cylindrical helical gear, effective suppression of tooth surface vibration, dynamic meshing stiffness of cylindrical helical gears with contact characteristics of tooth back was established through a loaded tooth contact model, and the coupling mechanism between meshing stiffness, meshing time and vibration displacement was obtained.The nonlinear vibration model of the high-speed cylindrical helical gear transmission system was established considering the excitations of tooth surface/back meshing stiffness and the corner impact force.The optimization of the surface modification of the double teeth surfaces was studied.The results of show that the meshing vibration acceleration of the helical gear with tooth back meshing stiffness is obviously larger than that without the stiffness, and the former performs more complex bifurcation characteristics.Compared to the standard tooth surface and the single surface modification, the cylindrical helical gear with double surfaces modification has the smallest meshing vibration acceleration, and it also increases the speed range for stable operation. 

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王峰1 朱彦霖2 徐兴1 陈龙1 周之光3 孙晓强1. 融合齿背接触机理的圆柱斜齿轮振动特性分析与双面修形优化研究[J]. 振动与冲击, 2018, 37(24): 53-60

WANG Feng1 ZHU Yanlin2 XU Xing1 CHEN Long1 ZHOU Zhiguang3 SUN Xiaoqiang1. A study on vibration characteristics of a cylindrical spur gear with the contact mechanism of back teeth and optimization of double teeth surfaces modification[J]. Journal of Vibration and Shock, 2018, 37(24): 53-60

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