Study on Deformation Prediction and Cutting Parameters Optimization for Turning of Thin-walled Gear Spoke in Aerospace
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摘要: 为了满足直升机传动系统轻量化的需求,作为直升机关键零部件的传动齿轮具有薄壁的显著特征,在切削加工中容易出现变形严重和尺寸精度难以保证的问题。本文以高强度中合金渗碳钢齿轮薄辐板为研究对象,基于ABAQUS有限元分析软件,开展了切削加工仿真研究,通过建立三维动态切削仿真模型,分析了加工过程中工件所受的切削力与切削参数之间的关系;并运用静态仿真分析了切削力和夹紧力叠加对薄辐板加工变形的影响,对仿真结果进行了极差分析。最后,通过开展试验对仿真结果进行了验证。结果表明: 齿轮薄辐板加工变形量静力学分析显示齿轮辐板轴向变形量最大,径向变形在轮毂处最大;极差分析发现,切削速度为150 m/min、进给量为0.06 mm/r、切削深度为1.8 mm为最优切削参数,最大变形量的预测误差小于10%。Abstract: To fulfill the lightweight requirements of helicopter transmission systems, transmission gears as a critical component of helicopters, possess the noticeable characteristic of thin walls, which presents challenges in terms of severe deformation and the assurance of dimensional precision during the machining process. This article focuses on the study of thin-walled gear spoke plate made from high-strength medium alloy carburized steel. Using the ABAQUS finite element analysis software, a simulation study on the cutting process was conducted. By establishing a three-dimensional dynamic cutting simulation model, the relationship between the cutting forces and the cutting parameters on the parts in the machining was analyzed. Static simulation methods were used to analyze the influence of the superposition of cutting force and clamping force on the processing deformation of thin-walled spoke. Then range analysis was used to examine the simulation results. Finally, the experimental validation of the simulation results was carried out. The results indicate that in the static analysis of gear thin-walled spoke plate machining deformation, the axial deformation of the gear spoke plate is most significant, and the radial deformation is most prominent at the hub. Range analysis reveals that the optimal cutting parameters are the cutting speed of 150 m/min, the feed rate of 0.06 mm/r, and the cutting depth of 1.8 mm, with the prediction error for the maximum deformation of below 10%.
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表 1 18Cr2Ni4WA的物理、力学、热学参数[20]
Table 1. Physical, mechanical and thermal parameters of 18Cr2Ni4WA[20]
参数 数值 密度/(kg·m-3) 7 910 杨氏模量/GPa 202 泊松比 0.27 熔点/℃ 1 800 热传导率/(W·℃-1) 44 热膨胀系数/℃-1 1.24×10-5 比热/[J·(kg·℃)-1] 460 非弹性热系数 0.9 表 2 切削仿真L16(43)正交实验表
Table 2. Table of orthogonal experiments for cutting simulation L16(43)
水平 切削速度vc/(m·min-1) 进给量f/(mm·r-1) 切削深度w/mm 1 90 0.06 1.8 2 110 0.08 2.0 3 130 0.10 2.2 4 150 0.12 2.4 表 3 切削力与变形量仿真实验结果
Table 3. Cutting force and deformation simulation results
试验 切削速度水平 进给量水平 切削深度水平 Fc/N Ff/N U/mm 1 1 1 1 315.29 283.94 0.084 2 1 2 2 471.39 356.58 0.125 3 1 3 3 578.32 391.46 0.171 4 1 4 4 660.81 428.38 0.241 5 2 1 2 390.06 348.56 0.102 6 2 2 1 402.92 398.23 0.099 7 2 3 4 603.81 460.19 0.206 8 2 4 3 616.08 465.99 0.202 9 3 1 3 409.66 221.33 0.122 10 3 2 4 515.51 297.93 0.171 11 3 3 1 469.12 288.63 0.112 12 3 4 2 576.49 321.33 0.160 13 4 1 4 439.99 298.54 0.137 14 4 2 3 466.80 344.14 0.144 15 4 3 2 518.64 361.74 0.137 16 4 4 1 508.78 373.14 0.130 表 4 辐板变形量U极差分析表
Table 4. U-pole analysis of spoke plate deformations
参数 切削速度vc/(m·min-1) 进给量f/(mm·r-1) 切削深度w/mm K1 0.621 0.445 0.425 K2 0.609 0.539 0.524 K3 0.565 0.626 0.639 K4 0.548 0.733 0.755 k1 0.155 3 0.111 3 0.106 3 k2 0.152 3 0.134 8 0.131 0 k3 0.141 3 0.156 5 0.159 8 k4 0.137 0 0.183 4 0.188 8 R 0.018 3 0.072 1 0.082 5 -
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