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在齿轮传动领域内,至今依然普遍认为,只要主动齿轮的输入扭矩保持恒定,渐开线齿轮支座就不会产生振动. 本文的研究充分表明,渐开线齿轮机构运行时,它的支座不可避免地会发生一定程度的振动. 作者对渐开线齿轮机构运行过程中支座实际反力变化规律作了系统的剖析及研究,并推导出渐开线齿轮支座实际反力计算式及支座实际反力波动率方程组. 该齿轮支座实际反力波动率方程组所显示的严密的数学力学关系揭示了导致渐开线齿轮支座强迫振动的主要隐因素就是齿间滑动摩擦. 深入的分析研究进一步表明,抑制齿轮支座强迫振动的重要措施是有效地降低齿间滑动摩擦系数、合理地调配齿数和传动比以及严格地控制中心距增量系数.
In the field of gear transmission, it is still generally believed that involute gear bearings will not vibrate as long as the input torque of the driving gear remains constant.The research of this paper shows that when the involute gear mechanism is running, its support A certain degree of vibration will inevitably occur.The author systematically analyzes and studies the law of the actual reaction force of support during the operation of involute gear mechanism and deduces the formula of actual reaction force of involute gear support and The equation of the actual reaction force volatility of the bearing support The rigorous mathematical mechanics relation shown by the actual reaction force volatility equation of the bearing of the bearing shows that the main hidden factor that causes the forced vibration of the involute gear bearing is the sliding friction between teeth. Further analysis shows that the important measures to suppress forced vibration of gear bearings are to effectively reduce the sliding friction coefficient between teeth, rationally allocate the number of teeth and gear ratio, and strictly control the center distance increment coefficient.