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摆线齿轮磨齿加工变形有限元分析

Finite Element Analysis of Deformation in Grinding Cycloidal Gears
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摘要 为研究摆线齿轮磨齿加工过程中的变形规律,基于单颗磨粒磨削力的数学模型,对摆线齿轮齿槽施加单颗磨粒法向力和切向力,建立摆线齿轮磨齿加工变形有限元模型,研究磨削过程变形规律及不同的磨削速度、磨削深度及轴向进给速度对摆线齿轮的变形影响。结果表明:在磨削同一齿槽内,随着砂轮的进给,产生的变形量由大减小再增大,当砂轮刚切入齿槽时产生的变形量最大为2.29μm,当砂轮进给到齿槽1/2处时产生的变形量最小为2.01μm,当砂轮进给到即将离开齿槽时变形量逐渐上升为2.25μm。当磨削速度、磨削深度和轴向进给速度分别在50~65 m/s、20~50μm、1 500~7 500 mm/min范围内时,摆线齿轮磨齿加工变形量随磨削深度和轴向进给速度的增大而增大,随磨削速度的增大而逐渐下降,产生的最大变形量为2.29μm,最小变形量为1.04μm。 To study the deformation regularity of cycloidal gear during grinding process, the normal and tangential forces of single abrasive was applied to the gear groove of cycloidal gear, and a finite element model for the grinding deformation of cycloidal gear was established based on the mathematical model of the grinding force of a single abrasive grain. The deformation regularity in the grinding process and the effects of grinding speed, grinding depth, and axial feed speed on the deformation of cycloidal gears were studied. The results show that in grinding the same gear groove, the deformation produced is decreased and then increased with the feed of the grinding wheel. The maximum deformation is 2.29 μm in the cut-in stage of the grinding wheel, and the minimum deformation is 2.01 μm when the grinding wheel is fed to 1/2 of the gear groove. When the grinding wheel feed is about to leave the gear groove, the deformation is gradually rised to 2.25 μm. When the grinding speed, grinding depth and axial feed speed are in the range of 50-65 m/s, 20-50 μm and 1500-7500 mm/min respectively, the deformation of the cycloidal gear grinding process is increased with the increase of grinding depth and axial feed speed, and is decreased with the increase of grinding speed. The maximum deformation is 2.29 μm and, the minimum deformation is 1.04 μm.
作者 马付建 普斌 王紫光 尹剑 刘宇 沙智华 张生芳 MA Fujian;PU Bin;WANG Ziguang;YIN Jian;LIU Yu;SHA Zhihua;ZHANG Shengfang(School of Mechanical Engineering,Dalian Jiaotong University,Dalian 116028,China)
出处 《大连交通大学学报》 CAS 2024年第6期13-18,共6页 Journal of Dalian Jiaotong University
基金 国家自然科学基金项目(51505057) 辽宁省自然科学基金项目(2021-MS-295) 辽宁省教育厅科学研究项目(JDL2020015)。
关键词 摆线齿轮 加工变形 磨削速度 磨削深度 轴向进给速度 cycloidal gear machining deformation grinding speed grinding depth axial feed speed
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