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基于分形理论的粗糙齿面齿轮动力学研究
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国家重点研发计划(2018YFB2001300);国防基础科研计划(JCKY2020213B006);国家自然科学基金面上项目(52175053)


Research on Gear Dynamics of Rough Surface Based on Fractal Theory
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    摘要:

    为研究齿面微观误差对齿轮动力学特性的影响,基于分形理论对粗糙表面进行分形表征。结合时变啮合刚度、静态传递误差以及齿面摩擦等因素,建立计及粗糙齿面的齿轮非线性动力学模型,研究齿面粗糙度、齿面摩擦及工况对齿轮动力学特性的影响。结果表明:粗糙度增大时,齿轮传动系统的动态传递误差增大,振动稳定性降低,动态性能逐步恶化;齿面摩擦会使齿轮副的动态传递误差和振动位移都增大,且摩擦对垂直啮合线方向的振动特性影响更明显;粗糙度对齿轮动力学特性的影响随工况变化而改变,结合工况合理地进行齿面精度设计,有利于进一步平衡加工成本与传动质量之间的问题。

    Abstract:

    In order to study the influence of tooth surface micro error on gear dynamic characteristics,the rough surface was formed by using fractal theory.Associated with the factors of time-varying meshing stiffness,static transmission error and tooth friction,a nonlinear gear dynamic model considering rough surface was established.The effects of roughness,friction and working conditions on the gear dynamic characteristics were studied.The results show that when the tooth surface roughness increases,the dynamic transmission error of the gear system increases,and the dynamic performance deteriorates gradually owing to the decrease of vibration stability;the tooth friction makes the dynamic transmission error and vibration displacement of the gear pair increase,and the influence of friction on the vibration characteristics of the vertical meshing line is more obvious;the influence of tooth surface roughness on gear dynamic characteristics varies with the change of working condition,the reasonable tooth surface accuracy design combined with the working condition is beneficial to further balance the problem between processing cost and transmission quality.

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谢磊,李政民卿.基于分形理论的粗糙齿面齿轮动力学研究[J].机床与液压,2022,50(17):154-159.
XIE Lei, LI Zhengminqing. Research on Gear Dynamics of Rough Surface Based on Fractal Theory[J]. Machine Tool & Hydraulics,2022,50(17):154-159

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  • 在线发布日期: 2023-02-03
  • 出版日期: 2022-09-15