柔性齿轮-柔性转子-滑动轴承系统动特性分析
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摘要
为分析柔性齿轮对齿轮传动系统动特性的影响,建立考虑时变啮合刚度、非线性摩擦力的柔性齿轮-柔性转子-滑动轴承的柔性多体动力学模型。研究表明:相对于刚性体模型,考虑柔性齿轮和柔性转子的齿轮系统模型更加适合大变形的轻薄化齿轮系统动特性研究;柔性齿轮系统启动阶段存在明显的亚异步振动及齿轮轴向振动幅值的获取;高速重载有利于齿轮系统稳态工况的平稳运转及维持,但会引起齿轮轴向辐射噪声的增加;相对加减速、停机工况,启动工况下的轴向辐射噪声和动态啮合力波动最大。研究结果对齿轮轻薄化设计和认识齿轮传动系统的全工况动特性等研究具有积极意义。
In order to analyze the influence of flexible gear on the dynamic characteristics of gear transmission system,the flexible gear-flexible rotor-journal bearing dynamic model was built,taking the varying meshing stiffness and nonlinear friction into account. The results showed that the flexible model,is more suitable than the rigid model when analyzing the dynamic characteristics of light gear system that has large deformation. The sub-asynchronous vibration and axial vibration amplitude apparently exist in the start-up period of flexible gear system,which are not found in rigid model. However,high speed and heavy duty are better for maintaining steady operation of gear system,but will cause more radiated noise. The dynamic meshing force fluctuation and axial radiation noise are the largest in the startup working condition than those in the acceleration,deceleration and stop working conditions. The result is of positive significance to the design of a light,thin gear and to the ascertainment of the gear transmission's full operating dynamic characteristics.
In order to analyze the influence of flexible gear on the dynamic characteristics of gear transmission system,the flexible gear-flexible rotor-journal bearing dynamic model was built,taking the varying meshing stiffness and nonlinear friction into account. The results showed that the flexible model,is more suitable than the rigid model when analyzing the dynamic characteristics of light gear system that has large deformation. The sub-asynchronous vibration and axial vibration amplitude apparently exist in the start-up period of flexible gear system,which are not found in rigid model. However,high speed and heavy duty are better for maintaining steady operation of gear system,but will cause more radiated noise. The dynamic meshing force fluctuation and axial radiation noise are the largest in the startup working condition than those in the acceleration,deceleration and stop working conditions. The result is of positive significance to the design of a light,thin gear and to the ascertainment of the gear transmission's full operating dynamic characteristics.
引文
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[10]HE S,GUNDA R,SINGH R.Effect of sliding friction on the dynamics of spur gear pair with realistic time-varying stiffness[J].Journal of Sound and Vibration,2007,301(3):927-949.
[11]史冬岩,张成,任龙龙,等.滑动轴承压力分布及动特性系数[J].哈尔滨工程大学学报,2011,32(9):1134-1139.SHI Dongyan,ZHANG Cheng,REN Longlong,et al.Research on the oil film pressure and dynamic coefficient of a sliding bearing[J].Journal of Harbin Engineering University,2011,32(9):1134-1139.
[2]TAMAROZZI T,ZIEGLER P,EBERHARD P,et al.Static modes switching in gear contact simulation[J].Mechanism and Machine Theory,2013,63:89-106.
[3]毕凤荣,崔新涛,刘宁.渐开线齿轮动态啮合力计算机仿真[J].天津大学学报,2005,38(11):991-995.BI Fengrong,CUI Xintao,LIU Ning.Computer simulation for dynamic meshing force of involute gears[J].Journal of Tianjin University,2005,38(11):991-995.
[4]MARGARIDA M,PEDRO M,PAULO F,et al.Compliant contact force models in multibody dynamics:evolution of the Hertz contact theory[J].Mechanism and Machine Theory,2012,53:99-121.
[5]KAHRAMAN A,KHARAZI A A,UMRANI M.A deformable body dynamic analysis of planetary gears with thin rims[J].Journal of Sound and Vibration,2003,262(3):752-768.
[6]符升平,项昌乐,姚寿文.弹性支承下的齿轮传动动力学仿真分析[J].上海交通大学学报,2010,44(4):51-57.FU Shengping,XIANG Changle,YAO Shouwen.Analysis for dynamics simulation of rigid-flexible coupling gear transmission in consideration of flexible bearing[J].Journal of Shanghai Jiaotong University,2010,44(4):51-57.
[7]BAGUET S,JACQUENOT G.Nonlinear couplings in a gear-shaft-bearing system[J].Mechanism and Machine Theory,2010,45:1777-1796.
[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.
[9]FENG H S,WANG L Q,ZHENG D Z,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]HE S,GUNDA R,SINGH R.Effect of sliding friction on the dynamics of spur gear pair with realistic time-varying stiffness[J].Journal of Sound and Vibration,2007,301(3):927-949.
[11]史冬岩,张成,任龙龙,等.滑动轴承压力分布及动特性系数[J].哈尔滨工程大学学报,2011,32(9):1134-1139.SHI Dongyan,ZHANG Cheng,REN Longlong,et al.Research on the oil film pressure and dynamic coefficient of a sliding bearing[J].Journal of Harbin Engineering University,2011,32(9):1134-1139.