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减-变速集成齿轮的时变瞬心激励机理及扭振特性

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减-变速集成齿轮的时变瞬心激励机理及扭振特性
Excitation Mechanism of Time-Varying Instantaneous Center of Speed Integrated Gears and Its Torsional Vibration Characteristics
投稿时间:2018-03-07
DOI:10.15918/j.tbit1001-0645.2019.09.002
中文关键词:非圆齿轮面齿轮扭振参数振动
English Keywords:noncircular gearface geartorsional vibrationparametric vibration
基金项目:国家自然科学基金资助项目(51705444);河北省自然科学基金资助项目(E2016203183)
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中文摘要:
减-变速集成齿轮是一种兼具圆齿轮的减速和非圆齿轮的变速功能的高效轻量化传动元件,针对其圆与非圆匹配的新型传动模式,研究含时变瞬心激励下该齿轮的动态特性.首先阐明减-变速集成齿轮传动原理,给出瞬心变化规律及传动比方程;然后通过弹性转角分离方法,揭示时变瞬心对齿轮的激励原理,进而考虑时变瞬心、刚度、阻尼和误差等因素,构建减-变速集成齿轮的扭振模型;最后通过龙格-库塔法定量地分析了不同条件下减-变速集成齿轮的扭振特性,结果表明:时变瞬心与刚度复合激励将产生复杂的多频响应,而且随着瞬心幅值的增加,瞬心激励对齿轮振动的影响将超过刚度激励,成为减变速集成齿轮振动的主要原因.
English Summary:
The speed integrated gear is a new kind of high-efficiency and lightweight transmission component, possessing both of circular and noncircular gear functionalities. Aiming to the special transmission mode, the dynamical characteristics of the new gear pair with the excitation of time-varying instantaneous center was studied. Firstly, the transmission principle of the speed integrated gear was illustrated, getting the change rule of the instantaneous center and the drive ratio equation. Then on the basis of separation of the elastic rotation angle, analyzing time-varying instantaneous center, stiffness, damper and error, the excited mechanism of the instantaneous center on the gear was revealed to build a torsional vibration model. Finally, the vibration feature of the speed integrated gear under different conditions was analyzed based on Runge-Kutta method. The calculation results indicate that the compound excitations of the instantaneous center and the stiffness can lead to complex multi-frequency phenomenon, and the instantaneous center excitation will be more over the stiffness excitation to the torsional vibration with the amplitude increasing of the instantaneous center, becoming the primary cause of the torsional vibration.
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