Assembly angle optimization of curvic couplings considering contact status and mechanical characteristics
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摘要:
为了探究圆弧端齿加工偏差对接触状态和力学特性的影响规律，优化圆弧端齿连接安装角度，分析了圆弧端齿结构受力模型，研究了齿面加工误差对接触压力的影响，建立了圆弧端齿连接的切向刚度模型。理论研究和试验研究表明：齿面偏差导致齿面配合状态和力学特性不一致，在初始切向刚度阶段和刚度损失阶段通过优化安装角度能使切向刚度显著提高，改善装配力学性能。为圆弧端齿连接结构装配特性与装配工艺优化研究提供基础，对于提高圆弧端齿连接的航空发动机转子装配品质具有重要的意义。
Abstract:In order to investigate the influence of machining deviation of curvic couplings on the contact status and mechanical characteristics and to optimize the assembly angle of curvic couplings connection, the force model of curvic couplings structure was analyzed, the effect of surface deviation on contact pressure was investigated, and the tangential stiffness model of curvic couplings connection was established. Theoretical and experimental studies showed that the tooth surface deviation led to inconsistency of curvic couplings contact status and mechanical characteristics. The optimized assembly angle can improve the tangential stiffness and optimize the mechanical characteristics of the assembly during the initial tangential stiffness phase and the stiffness loss phase. This could provide a basis for the study of the assembly characteristics and optimization of the assembly process of the curvic couplings connection structure, which is of great significance to improve the assembly quality of the aero-engine rotor with curvic couplings connection.
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Key words:
- curvic coupling /
- surface deviation /
- contact status /
- mechanical characteristics /
- assembly angle
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图 3 圆弧端齿齿面接触力示意图
Figure 3. Schematic diagram of contact force on the tooth surface of curvic couplings
图 8 不同装配安装角度时接触齿面对数量
Figure 8. Number of tooth contact surfaces for different assembly and mounting angles
图 9 接触齿面正压力沿周向分布
Figure 9. Circumferential distribution of positive pressure on the contact tooth surface
图 10 圆弧端齿结构网格示意图
Figure 10. Finite element mesh schematic diagram of curvic couplings structure
图 11 齿面等效应力周向分布
Figure 11. Circumferential distribution of equivalent stress on tooth surface
图 12 传递扭矩圆弧端齿结构示意图
Figure 12. Schematic diagram of the structure of curvic couplings for torque transmission
图 13 切向刚度损失过程示意图
Figure 13. Schematic diagram of the tangential stiffness loss process
图 14 仿真计算圆弧端齿连接结构切向刚度损失过程
Figure 14. Simulation of the loss of tangential stiffness in a curvic couplings connection structure
图 15 圆弧端齿连接结构装配工艺优化路径
Figure 15. Optimization path for the assembly process of curvic couplings connection structure
图 18 圆弧端齿试验件装配工艺优化权值目标函数值
Figure 18. Objective function values for the optimization of weights for the assembly process of test pieces with curvic couplings
图 20 拧紧力矩为5 N·m时试验件连接结构扭转变形量
Figure 20. Torsional deformation of the test piece connection structure at a tightening torque of 5 N·m
图 21 拧紧力矩为10 N·m时试验件连接结构扭转变形量
Figure 21. Torsional deformation of the test piece connection structure at a tightening torque of 10 N·m
图 22 拧紧力矩15 N·m时试验件连接结构扭转变形量
Figure 22. Torsional deformation of the test piece connection structure at a tightening torque of 15 N·m
表 1 圆弧端齿连接结构装配初始间隙
Table 1. Initial assembly clearance of curvic couplings connection structure
mm 编号 ${\lambda _1} = 0{\text{°}} $ ${\lambda _2} = 18{\text{°}} $ 编号 ${\lambda _1} = 0{\text{°}} $ ${\lambda _2} = 18{\text{°}} $ 1 0.145 0.300 21 0.190 0.086 2 0.089 0.096 22 0.329 0.236 3 0.233 0.206 23 0.224 0.237 4 0.125 0.134 24 0.203 0.121 5 0.329 0.236 25 0.089 0.096 6 0.125 0.131 26 0.116 0.175 7 0.203 0.121 27 0.125 0.134 8 0.109 0.124 28 0.202 0.215 9 0.116 0.175 29 0.125 0.131 10 0.187 0.000 30 0.205 0.226 11 0.202 0.215 31 0.109 0.124 12 0.000 0.149 32 0.158 0.121 13 0.205 0.226 33 0.187 0.000 14 0.263 0.360 34 0.173 0.210 15 0.158 0.121 35 0.000 0.149 16 0.258 0.114 36 0.216 0.208 17 0.173 0.210 37 0.263 0.360 18 0.145 0.300 38 0.190 0.086 19 0.216 0.208 39 0.258 0.114 20 0.233 0.206 40 0.224 0.237 
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表 2 扭转试验的参数设置
Table 2. Parameter setting for torsion test
扭转试验参数 数值 安装角度λk/（°） 0，30，60，90，120，150，180，
210，240，270，300，330螺栓紧固扭矩/（N·m） 5，10，15 试验扭矩/（N·m） 300
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