2K-H型封闭式周转轮系功率流与传动效率计算

doi:10.3901/JME.2023.13.059

机械工程学报 ›› 2023, Vol. 59 ›› Issue (13): 59-67.doi: 10.3901/JME.2023.13.059

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2K-H型封闭式周转轮系功率流与传动效率计算

王成

上海电机学院机械学院上海 201306

收稿日期:2022-07-13 修回日期:2022-11-25 出版日期:2023-07-05 发布日期:2023-08-15
作者简介:王成,男,1977年出生,博士,副教授。主要研究方向为机械传动、机械系统动力学与机械传动效率等。E-mail:32075@sdju.edu.cn
基金资助:
国家自然科学基金(52275057)和山东省自然科学基金(ZR2020ME118)资助项目。

Determination of Power Flow and Calculation of Transmission Efficiency for 2K-H Closed Epicyclic Gear Train

WANG Cheng

School of Mechanical Engineering, Shanghai Dianji University, Shanghai 201306

Received:2022-07-13 Revised:2022-11-25 Online:2023-07-05 Published:2023-08-15

摘要/Abstract

摘要： 轮系传动效率研究对降低装置能耗和提高装置性能具有重要意义。以2K-H型封闭式周转轮系为研究对象，提出了一种确定功率流和计算传动效率的方法。首先，利用沿啮合线积分法，建立了符合齿轮连续传动的内外齿轮副啮合效率模型。其次，根据齿轮所受啮合扭矩和转向，提出了一种判断轮系中主从动轮以及功率流向的方法。最后，针对2K-H型封闭式周转轮系的结构特征，绘制功率流图，利用分流功率理论和虚功率理论分别计算流经齿轮副的功率，进而建立2K-H型封闭式周转轮系的传动效率模型。以某H封闭式周转轮系为例，利用上述方法判断出其存在功率回流，对改进后轮系的传动效率进行计算。对比了齿轮副传动效率查表值对轮系传动效率的影响，结果表明，查表值中最大值和最小值所获得的轮系传动效率差值达到了0.016 5，误差较大。分析了齿数对轮系传动效率的影响，得出了轮系传动效率与齿数同方向变化的结论。据此，采用计算法获得齿轮副啮合/传动效率使轮系传动效率的模型更为精确。与已有方法进行了对比，为后续轮系传动性能的改善奠定了理论基础。

关键词: 2K-H型封闭式周转轮系, 传动效率, 功率流, 啮合效率, 虚功率

Abstract: Research on transmission efficiency for gear train is of great significance to reduce the energy consumption and improve the performance of device. Taken 2K-H closed epicyclic gear train as the research object, a method to determine power flow and calculate transmission efficiency is proposed. Firstly, the integral method along the meshing line is used to build the meshing efficiency model of internal and external gear pairs with continuous transmission. Secondly, according to direction of meshing torque and rotation of gear, a method to judge the driving and driven gear is given and the power flow is determined. Finally, according to the structural characteristics of 2K-H closed epicyclic gear train, the power flow graph is drawn, and the power through the gear pair is respectively calculated by the split-flow power theory and virtual power theory, and then the transmission efficiency model for 2K-H closed epicyclic gear train is built. Taken an H closed epicyclic gear train as the example, the circulating power flow is judged by the above method, and the transmission efficiency for the improved gear train is calculated. The influence of look-up table value of gear pair transmission efficiency on gear train transmission efficiency is compared. The results show that the difference between the maximum value and the minimum value of gear train transmission efficiency is up to 0.016 5, and the error is large. The influence of teeth number on transmission efficiency for gear train is analyzed, which changes in the same direction as the teeth number. Therefore, the calculation method of meshing/transmission efficiency for gear pair instead for look-up table method makes the model of gear train transmission efficiency more accurate. The proposed method is compared with the existing methods and it provides theoretical guidance for the subsequent improvement of transmission performance of gear trains.

Key words: 2K-H closed epicyclic gear train, transmission efficiency, power flow, meshing efficiency, virtual power

中图分类号:

TH132

王成. 2K-H型封闭式周转轮系功率流与传动效率计算[J]. 机械工程学报, 2023, 59(13): 59-67.

WANG Cheng. Determination of Power Flow and Calculation of Transmission Efficiency for 2K-H Closed Epicyclic Gear Train[J]. Journal of Mechanical Engineering, 2023, 59(13): 59-67.

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2K-H型封闭式周转轮系功率流与传动效率计算

Determination of Power Flow and Calculation of Transmission Efficiency for 2K-H Closed Epicyclic Gear Train

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