航空花键接触刚度仿真与试验

李英杰; 赵广; 袁运博; 侯志强; 郭梅; 张大义

doi:10.13224/j.cnki.jasp.20230070

航空花键接触刚度仿真与试验

doi: 10.13224/j.cnki.jasp.20230070

李英杰¹,
赵广¹,
袁运博^2,*, ,,
侯志强¹,
郭梅³,
张大义⁴

1.
大连理工大学能源与动力学院，辽宁大连 116024
2.
大连理工大学控制科学与工程学院，辽宁大连 116024
3.
中国航发沈阳发动机研究所，沈阳 110015
4.
北京航空航天大学能源与动力工程学院，北京 100191

基金项目: 自然科学基金（12172073, 12302065）；国家科技重大专项（779608000000200007）

详细信息

作者简介:
李英杰（1997-），男，博士生，主要从事航空花键动力学研究

通讯作者:
袁运博（1993-），男，助理研究员，博士，主要从事转子系统动力学及故障诊断研究。E-mail：yuanyunbo@dlut.edu.cn

中图分类号: V233.1
计量
- 文章访问数: 40
- HTML浏览量: 41
- PDF量: 12
- 被引次数: 0
出版历程
- 收稿日期: 2023-02-12
- 网络出版日期: 2024-03-11

Simulation and experiment on contact stiffness of aviation splines

1.
School of Energy and Power Engineering，Dalian University of Technology，Dalian Liaoning 116024，China
2.
School of Control Science and Engineering，Dalian University of Technology，Dalian Liaoning 116024，China
3.
Shenyang Engine Research Institute，Aero Engine Corporation of China，Shenyang 110015，China
4.
School of Energy and Power Engineering，Beihang University，Beijing 100191，China

摘要

摘要:
针对航空花键接触刚度数量级高导致的直接试验测量难度高、误差大的现状，以某型号航空发动机花键连接结构为研究对象，经过合理的简化与缩尺设计，建立相应的花键结构模型。仿真得到花键接触刚度及其随传递扭矩、横向力的变化规律，并搭建与仿真模型一致的试验台进行刚度测试。结果表明：当横向力不变时，花键的接触刚度随传递扭矩的增大而非线性增大，并逐渐趋于稳定；当花键处于相同的扭矩和横向力作用时，处于加载和卸载过程中的花键接触刚度值不同，并出现迟滞现象；试验测得在所有扭矩下的花键平均刚度值为20.48 MN/m，仿真结果与试验结果的平均误差为8.54%，试验与仿真结果取得了较好的一致性。该研究为航空花键接触刚度的研究提供了参考。
- 航空花键 /
- 接触刚度 /
- 缩尺模型 /
- 有限元分析 /
- 刚度测试
Abstract:
The high magnitude of the contact stiffness of aviation splines leads to the difficulty in direct measurement and notable test error. A spline structure model was established through reasonable simplification and scale design according to the actual spline connection structure of an aero-engine. Simulations were made to determine the spline contact stiffness and its variation with transmission torque and lateral force. A test bench consistent with the simulation model was built to test the contact stiffness. The results showed that when the transverse force was constant, the contact stiffness of the spline increased nonlinearly with the increase of transmission torque, and was inclined to be unchanged gradually. When the spline was under the same torque and lateral force, the contact stiffness of the spline was different during loading and unloading, and the hysteresis phenomenon occurred. The average contact stiffness of splines measured under all torques was 20.48 MN/m. The test and simulation results were in good agreement, with an average error of 8.54%. This study provides a reference for studying the contact stiffness of aviation splines.
- aviation spline /
- contact stiffness /
- scale model /
- finite element analysis /
- stiffness measurement

HTML

图 1 航空发动机花键结构连接图

Figure 1. Spline structure connection of aero-engine

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图 2 内外花键缩尺结构图

Figure 2. Spline structure of scale

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图 3 花键配合有限元模型

Figure 3. Finite element model of mating spline

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图 4 外花键轴与齿面网格划分

Figure 4. External spline shaft and tooth surface meshing

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图 5 花键接触设置

Figure 5. Finite element model of spline contact settings

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图 6 花键边界条件设置

Figure 6. Boundary constraints of spline

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图 7 变形点路径的设置

Figure 7. Deformation point path settings

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图 8 不同扭矩下花键单侧加载-变形仿真结果

Figure 8. Unilateral loading-deformation simulation curves of spline under different torques

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图 9 不同扭矩下花键单侧加载-刚度仿真曲线

Figure 9. Unilateral loading-stiffness simulation curves of spline under different torques

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图 10 花键结构接触变形试验台原理图

Figure 10. Schematic diagram of the contact deformation test bench of the spline structure

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图 11 花键连接结构接触变形试验台

Figure 11. Contact deformation test bench of the spline connection structure

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图 12 花键连接结构接触变形试验台细节

Figure 12. Spline connection structure contact deformation test bench details

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图 13 扭矩为250 N·m时，花键加载变形试验结果

Figure 13. When the torque is 250 N·m, the test results of spline unilateral loading-deformation

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图 14 扭矩为500 N·m时，花键加载变形试验结果

Figure 14. When the torque is 500 N·m, the test results of spline unilateral loading-deformation

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图 15 扭矩为750 N·m时，花键加载变形试验结果

Figure 15. When the torque is 750 N·m, the test results of spline unilateral loading-deformation

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图 16 扭矩为250 N·m时，刚度测试结果

Figure 16. When the torque is 250 N·m, the test results of spline stiffness

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图 17 扭矩为500 N·m时，刚度测试结果

Figure 17. When the torque is 500 N·m, the test results of spline stiffness

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图 18 扭矩为750 N·m时，刚度测试结果

Figure 18. When the torque is 750 N·m, the test results of spline stiffness

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图 19 花键刚度值试验与仿真结果对比

Figure 19. Comparison between test and simulation results of spline stiffness

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表 1 花键结构参数

Table 1. Structure parameters of spline

参数	模化前	模化后
齿数Z	64	24
模数m/mm	1.5	1.25
压力角Α/（°）	30	30
接触长度l/mm	139	40
基圆直径D_b/mm	83.1	26.0
分度圆直径D/mm	96	30

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表 2 不同网格建模的变形对照表

Table 2. Deformation comparison table for different mesh modeling

模型	节点数	单元数	变形/μm	占运行内存/G	相对误差/%
1	307658	182867	10.62	2	−24.9
2	476134	273112	14.06	3	−0.16
3	1827756	945861	14.13	9.3	−0.05
4	1866676	963731	14.14	10.2	0

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表 3 花键结构接触变形试验内容矩阵规划

Table 3. Matrix planning of contact deformation test content of spline structure

序号	扭矩/（N·m）	横向载荷/N	试验内容
1	250	500～3000	花键刚度测试及扭矩、载荷影响
2	500	500～3000
3	750	500～3000

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表 4 花键单侧加载下测点Y₁₂的刚度仿真结果与试验结果对比

Table 4. Comparison of spline stiffness at point Y₁₂ between test and simulation results under unilateral loading

参数	扭矩/（N·m）			刚度平均值
参数	250	500	750	刚度平均值
刚度平均值/(MN/m)	21.25	22.23	22.84	22.23
刚度试验值/(MN/m)	17.74	21.48	22.21	20.48
误差/%	21.51	3.96	2.84	8.54

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