Blok闪温法的改进及在弧齿锥齿轮齿面温度预测中的应用

肖扬; 王三民; 李飞; 任鸿飞; 乔喆烨

doi:10.13224/j.cnki.jasp.20220322

Blok闪温法的改进及在弧齿锥齿轮齿面温度预测中的应用

doi: 10.13224/j.cnki.jasp.20220322

西北工业大学机电学院，西安 710072

详细信息

作者简介:
肖扬（1999-），男，硕士生，主要从事弧齿锥齿轮温度场研究

中图分类号: V232.8
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- 被引次数: 0
出版历程
- 收稿日期: 2022-05-09
- 网络出版日期: 2024-06-26

Improvement of Blok flash temperature method and its application in prediction of tooth surface temperature of spiral bevel gears

School of Mechanical Engineering，Northwestern Polytechnical University，Xi’an 710072，China

摘要

摘要:
为准确预测弧齿锥齿轮齿面的瞬时最高温度，提出了一种新型齿轮闪温计算方法。通过考虑润滑油膜对齿轮闪温的影响，对传统Blok闪温法进行改进，获得了弹流润滑下的齿轮闪温计算公式，弥补了传统Blok闪温法未考虑润滑油膜的缺陷。并通过此公式对某型直升机传动系统内的一对弧齿锥齿轮进行了齿面闪温计算，将该方法和Joselito闪温法计算的数值结果分别与有限元仿真获得的结果进行了对比分析。结果表明：Joselito闪温法与有限元法的结果相差12%，改进Blok闪温法与有限元法的结果相差4%，说明改进Blok闪温法更接近有限元法的结果，并从多角度验证了该公式的准确性与优越性，为进一步完善轮齿胶合承载能力计算提供了理论依据。
- 闪温 /
- 本体温度场 /
- 瞬态温度场 /
- 弧齿锥齿轮 /
- 有限元分析
Abstract:
In order to accurately predict the instantaneous maximum temperature of spiral bevel gears tooth surface, a new method for calculating gear flash temperature was proposed. By considering the influence of lubricating oil film on gear flash temperature, the traditional Blok flash temperature method was improved and the calculation formula of gear flash temperature under elastohydrodynamic lubrication was obtained, which made up for the defect that the traditional Blok flash temperature method did not consider lubricating oil film. Then the proposed method was used to calculate the tooth surface flash temperature of a pair of spiral bevel gears in a helicopter transmission system. The numerical results calculated by the proposed method and Joselito's method were respectively compared with those obtained by finite element simulation. The results showed that the difference between Joselito’s flash temperature method and finite element method was 12%, and the difference between the proposed method and finite element method was 4%, which verified the accuracy and superiority of the proposed method from various angles, thus providing a theoretical basis for further improving the calculation of gear tooth bonding load capacity.
- flash temperature /
- body temperature field /
- transient temperature field /
- spiral bevel gear /
- finite element analysis

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图 1 无油润滑轮齿模型

Figure 1. Dry running gear tooth model

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图 2 油润滑轮齿模型

Figure 2. Oil lubricated gear tooth model

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图 3 层状物体导热模型

Figure 3. Layered object thermal conductivity model

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图 4 单齿啮合模型

Figure 4. Single tooth meshing model

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图 5 啮合点速度分析

Figure 5. Velocity analysis of meshing points

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图 6 啮合点瞬时速度

Figure 6. Instantaneous speed of meshing point

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图 7 主动轮齿本体温度场

Figure 7. Body temperature field of pinion tooth

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图 8 主动轮齿瞬态温度场

Figure 8. Transient temperature field of pinion tooth

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图 9 从动轮齿本体温度场

Figure 9. Body temperature field of gear tooth

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图 10 从动轮齿瞬态温度场

Figure 10. Transient temperature field of gear tooth

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图 11 主动轮齿面闪温与输入功率的关系

Figure 11. Relationship between pinion tooth surface flash temperature and input power

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图 12 从动轮齿面闪温与输入功率的关系

Figure 12. Relationship between gear tooth surface flash temperature and input power

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图 13 主动轮齿面闪温与润滑油型号的关系

Figure 13. Relationship between pinion tooth surface flash temperature and lubricating oil type

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图 14 从动轮齿面闪温与润滑油型号的关系

Figure 14. Relationship between gear tooth surface flash temperature and lubricating oil type

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图 15 主动轮齿面闪温与润滑油参数的关系

Figure 15. Relationship between pinion tooth surface flash temperature and lubricating oil parameters

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图 16 从动轮齿面闪温与润滑油参数的关系

Figure 16. Relationship between gear tooth surface flash temperature and lubricating oil parameters

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表 1 传动系统主要参数

Table 1. Main parameters of transmission system

参数	数值
齿数	27/74
齿宽/mm	38.5
模数/mm	3.85
输入转速/（rad/s）	20900
输入功率/kW	1000
齿轮密度/（kg/m³）	7850
润滑油密度/（kg/m³）	970.2
齿轮导热系数/（W/（m·℃））	36
润滑油导热系数/（W/（m·℃））	0.147
齿轮比热容/（J/（kg·℃））	641
润滑油比热容/（J/（kg·℃））	2131

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表 2 闪温对比

Table 2. Flash temperature comparison

方法	主、从动轮齿本体温度/℃	主、从动轮齿闪温/℃	主、从动轮齿最高温度/℃
改进Blok闪温法	75.36/72.03	19.11/18.41	94.47/90.44
Joselito闪温法		26.62/27.97	101.98/100.00
有限元仿真法		15.28/19.56	90.64/91.59

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表 3 对照组1

Table 3. Control group 1

润滑油型号	密度/ （kg/m³）	导热系数/ （W/（m·℃））	比热容/ （J/（kg·℃））
A	883	0.144	1600
B	900	0.134	1960

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表 4 对照组2

Table 4. Control group 2

组号	密度/（kg/m³）	导热系数/（W/（m·℃））	比热容/（J/（kg·℃））
原始	970.2	0.147	2131
1	485.1	0.147	2131
1	1455.3	0.147	2131
2	970.2	0.0735	2131
2	970.2	0.2205	2131
3	970.2	0.147	1065.5
3	970.2	0.147	3196.5

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