Vibration Characteristics Analysis of Cylindrical Gear Pair Considering Tooth Thickness Deviation
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摘要: 为了研究齿厚偏差对圆柱齿轮副振动特性的影响规律, 建立了考虑齿厚偏差的圆柱齿轮副啮合刚度和传递误差计算模型, 分析了齿厚偏差对圆柱齿轮副啮合刚度和传递误差激励的影响; 然后建立了考虑齿厚偏差的圆柱齿轮啮合副有限元模型, 分析了齿厚偏差对圆柱齿轮副振动特性的影响。结果表明: 随着齿厚偏差增大, 齿轮副单齿啮合刚度降低, 传递误差和啮合振动增大; 随着螺旋角减小, 齿轮副单齿啮合刚度逐渐降低, 传递误差波动和啮合振动增大, 同时齿轮副振动特性对齿厚偏差更加敏感; 随着作用扭矩减小, 齿轮副单齿啮合刚度降低, 传递误差激励减小, 啮合振动减小, 同时齿轮副振动特性对齿厚偏差敏感性降低。Abstract: In order to study the influence of the tooth thickness deviation on the vibration characteristics of the cylindrical gear pair, the calculation models of the meshing stiffness and transmission error of the cylindrical gear pair considering the tooth thickness deviation were established, and the influence of the tooth thickness deviation on the cylindrical gear pair meshing stiffness and transmission error excitation was analyzed. Then, the finite element model of the meshing gear pair of the cylindrical gear considering the tooth thickness deviation was established, and the influence of the tooth thickness deviation on the vibration characteristics of the cylindrical gear pair was analyzed. The results show that as the tooth thickness deviation increases, the single tooth meshing stiffness of the gear pair decreases, the transmission error and meshing vibration increase; as the helix angle decreases, the single tooth meshing stiffness of the gear pair gradually decreases, the transmission error fluctuation and meshing vibration increase, and the gear pair vibration characteristics are more sensitive to the tooth thickness deviation; as the acting torque decreases, the meshing stiffness of the single tooth of the gear pair decreases, the transmission error excitation decreases, and meshing vibration decreases. At the same time, the sensitivity of the gear pair vibration characteristics to the tooth thickness deviation is reduced.
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Key words:
- cylindrical gear /
- tooth thickness deviation /
- meshing stiffness /
- transmission error /
- vibration
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表 1 齿轮基本参数
对象 齿数 模数 法向压力角/(°) 法向螺旋角/(°) 齿宽/mm 小齿轮 31 3 20 10 40 大齿轮 166 3 20 10 40 表 2 齿厚及偏差
对象 分度圆法向齿厚/㎜ 齿厚上偏差 齿厚下偏差 小齿轮 5.391 -0.072 -0.086 大齿轮 5.531 -0.102 -0.137 表 3 本文所取齿厚偏差
简称 小齿轮 大齿轮 ΔEs0 0 0 ΔEs1 -0.072 -0.102 ΔEs2 -0.086 -0.137 ΔEs3 -0.100 -0.172 ΔEs4 -0.114 -0.207 ΔEs5 -0.128 -0.242 表 4 不同齿厚偏差动态啮合力波动量
齿厚偏差 动态啮合力波动量/N ΔEs0 1 980 ΔEs1 2 125 ΔEs2 2 152 ΔEs3 2 195 ΔEs4 2 208 ΔEs5 2 262 -
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