考虑变工况冲击的齿轮动态啮合力分析
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摘要
为研究变工况冲击对齿轮传动系统动特性影响,基于弹塑性接触理论,给出一种可以考虑变工况冲击、啮入冲击、节点冲击的齿轮接触碰撞力参数预估算法,并结合多体动力学软件建立柔性齿轮传动系统动力学模型。该模型和算法可用于大接触变形和承受频繁冲击齿轮传动系统稳态和瞬态动特性分析。研究表明:与啮入冲击导致的稳态动态啮合力相比,变工况冲击引起的瞬态动态啮合力具有幅值大、冲击时间短等特点;在不同工况下,啮入冲击会引起不同周期的齿轮动态啮合力波动;滑动摩擦系数对齿轮切向摩擦力的节点冲击影响更大。研究结果对齿轮的接触碰撞力参数预估及全面认识齿轮传动系统瞬态动特性等研究具有积极的意义。
Based on elastic-plastic contact theory,an improved algorithm is presented to calculate the parameters of the gear contact force,while considering variable conditions impact,meshing impact and pitch point impact.Meanwhile,the flexible multi-body gear transmission dynamic model is built with multibody software and an improved algorithm.This model and algorithm can be applied to the analysis dynamics of the gear transmission with large contact deformation and frequent impact.Results show that(1)the dynamic meshing force that is caused by the variable conditions impact is greater than that caused by the meshing impact;(2)The meshing impact causes the different periodic fluctuation of the dynamic meshing force at different loading cases;(3)The sliding friction factor has great impact on the gear tangential friction pitch point impact.The results are significant for the calculation of dynamic contact force parameters and the analysis of gear transmission transient dynamics.
Based on elastic-plastic contact theory,an improved algorithm is presented to calculate the parameters of the gear contact force,while considering variable conditions impact,meshing impact and pitch point impact.Meanwhile,the flexible multi-body gear transmission dynamic model is built with multibody software and an improved algorithm.This model and algorithm can be applied to the analysis dynamics of the gear transmission with large contact deformation and frequent impact.Results show that(1)the dynamic meshing force that is caused by the variable conditions impact is greater than that caused by the meshing impact;(2)The meshing impact causes the different periodic fluctuation of the dynamic meshing force at different loading cases;(3)The sliding friction factor has great impact on the gear tangential friction pitch point impact.The results are significant for the calculation of dynamic contact force parameters and the analysis of gear transmission transient dynamics.
引文
[1]吴勇军,王建军.一种考虑齿轮副连续啮合过程的接触有限元动力学分析方法[J].航空动力学报,2013,28(5):1192-1200.Wu Yongjun,Wang Jianjun.A contact finite element method for dynamic analysis of continuous engaged gear pairs[J].Journal of Aerospace Power,2013,28(5):1192-1200.(in Chinese)
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[8]秦志英,陆启韶.基于恢复系数的碰撞过程模型分析[J].动力学与控制学报,2006,4(12):294-298.Qin Zhiying,Lu Qishao.Analysis of impact process model based on restitution coefficient[J].Journal of Dynamics and Control,2006,4(12):294-298.(in Chinese)
[9]Feng Haisheng,Wang Liqin,Zheng Dezhi,et al.Analysis on dynamic contact force in high power density gear transmission based on flexible model[J].Applied Mechanics and Materials,2013,328:547-551.
[10]Xu Hai,Kahraman A,Anderson N.Development of a generalized mechanical efficiency prediction methodology for gear pairs[D].Columbus:The Ohio State University,2005.
[11]Ziegler P,Eberhard P.Simulative and experimental investigation of impacts on gear wheels[J].Computer Methods Applied Mechanics and Engineering,2008,197(51),4653-4662.
[2]唐进元,周炜,陈思雨.齿轮传动啮合接触冲击分析[J].机械工程学报,2011,47(7):22-30.Tang Jinyuan,Zhou Wei,Chen Siyu.Contact-impact analysis of gear transmission system[J].Journal of Mechanical Engineering,2011,47(7):22-30.(in Chinese)
[3]Khabou M T,Bouchaala N,Chaari F,et al.Study of a spur gear dynamic behavior in transient regime[J].Mechanical Systems and Signal Processing,2011,25(8):3089-3101.
[4]王炎,马吉胜,郑海起,等.含柔性转子的齿轮-轴承系统动态特性分析[J].振动、测试与诊断,2012,32(1):495-499.Wang Yan,Ma Jisheng,Zheng Haiqi,et al.Dynamic characteristics analysis of gear-bearing system with flexible rotor[J].Journal of Vibration,Measurement&Diagnosis,2012,32(1):495-499.(in Chinese)
[5]Ebrahimi S,Eberhard P.Rigid-elastic modeling of meshing gear wheels in multibody systems[J].Multibody System Dynamics,2006,16(1):55-71.
[6]Seifried R,Schiehlen W,Eberhard P.The role of the coefficient of restitution on impact problems inmultibody dynamics[J].Proceedings of the Institution of Mechanical Engineers,Part K:Journal of Multi-body Dynamics,2010,224(3):224-279.
[7]Tamarozzi T,Ziegler P,Eberhard P,et al.Static modes switching in gear contact simulation[J].Mechanism and Machine Theory,2013,63:89-106.
[8]秦志英,陆启韶.基于恢复系数的碰撞过程模型分析[J].动力学与控制学报,2006,4(12):294-298.Qin Zhiying,Lu Qishao.Analysis of impact process model based on restitution coefficient[J].Journal of Dynamics and Control,2006,4(12):294-298.(in Chinese)
[9]Feng Haisheng,Wang Liqin,Zheng Dezhi,et al.Analysis on dynamic contact force in high power density gear transmission based on flexible model[J].Applied Mechanics and Materials,2013,328:547-551.
[10]Xu Hai,Kahraman A,Anderson N.Development of a generalized mechanical efficiency prediction methodology for gear pairs[D].Columbus:The Ohio State University,2005.
[11]Ziegler P,Eberhard P.Simulative and experimental investigation of impacts on gear wheels[J].Computer Methods Applied Mechanics and Engineering,2008,197(51),4653-4662.