低脉动椭圆齿轮泵的多参变扭振模型及动态特性

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摘要新型椭圆齿轮泵具有低脉动、大排量的性能优势，在流体输送领域具有广阔的应用前景，针对泵的两级非圆齿轮传动机构，研究多参变激励下泵的动态特性。分析了椭圆齿轮泵的流量脉动组成，针对由非圆形转子引起的主脉动，提出了基于非圆齿轮变速驱动的平抑方法；讨论了非圆齿轮时变瞬心激励机理，建立了两级非圆齿轮传动机构的动力学模型；通过龙格-库塔法，定量地研究了在时变瞬心和刚度复合激励下泵传动机构的扭振特性，结果表明：椭圆齿轮泵传动机构产生复杂的多频响应，随偏心率，转速和泵出口压力的增加，转子上瞬心和刚度引起的振动发生不同的变化，最终导致两转子的振动加剧。

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	刘大伟1
	2
	巴延博1

关键词 ：非圆齿轮, 齿轮动力学, 参数激励, 扭振

Abstract：New type elliptical gear pump has performance advantages of low flow fluctuation and large output volume, and it is widely used in fluid transportation field.Here, aiming at the pump’s two-stage non-circular gear transmission mechanism, the pump’s dynamic features were studied under multiple parametric excitations.The flow fluctuation composition of the pump was analyzed, and a method based on non-circular gears’ variable-speed drive was proposed to suppress main ripple caused by non-circular rotor.The exciting mechanism of non-circular gear time-varying instantaneous center was discussed, and the dynamic model of the two-stage non-circular gear transmission mechanism was established.Using Runge-Kutta method, the torsional vibration features of the pump’s transmission mechanism were quantitatively studied under the compound excitation of instantaneous center and stiffness.The results showed that the elliptical gear pump’s transmission mechanism has complicated multi-frequency response; with increase in eccentricity, rotating speed and the pump’s outlet pressure, rotor vibrations due to instantaneous center and stiffness have different changes, and finally cause two rotors’ vibration to intensify.

Key words： non-circular gear gear dynamics parametric excitation torsional vibration

收稿日期: 2018-08-03 出版日期: 2020-01-28

引用本文:

刘大伟1，2,巴延博1. 低脉动椭圆齿轮泵的多参变扭振模型及动态特性[J]. 振动与冲击, 2020, 39(3): 88-94.
LIU Dawei1,2, BA Yanbo1. Multi-parameter torsional vibration model and dynamic features of an elliptical gear pump with low flow fluctuation. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(3): 88-94.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2020/V39/I3/88

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