Analysis of Gear Dynamic Characteristic of Oil Churning Resistance under Stochastic Disturbance

Wenyu Liu; Yongguo Sun; Guangbin Yu; Valerii Tupolev; Wei Liu

doi:10.16578/j.issn.1004.2539.2022.04.008

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Analysis of Gear Dynamic Characteristic of Oil Churning Resistance under Stochastic Disturbance

Theory·Reserach | 更新时间：2022-09-25

- Analysis of Gear Dynamic Characteristic of Oil Churning Resistance under Stochastic Disturbance
- Journal of Mechanical Transmission Vol. 46, Issue 4, Pages: 55-62(2022)
- 作者机构：
  
  1.哈尔滨理工大学机械动力工程学院，黑龙江哈尔滨 150080
  2.哈尔滨工业大学机电工程学院，黑龙江哈尔滨 150001
  3.江苏盛安传动股份有限公司，江苏盐城 224015
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2022.04.008
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刘文宇,孙永国,于广滨等.随机扰动下考虑搅油阻力的齿轮动力特性分析[J].机械传动,2022,46(04):55-62.

Liu Wenyu,Sun Yongguo,Yu Guangbin,et al.Analysis of Gear Dynamic Characteristic of Oil Churning Resistance under Stochastic Disturbance[J].Journal of Mechanical Transmission,2022,46(04):55-62.
刘文宇,孙永国,于广滨等.随机扰动下考虑搅油阻力的齿轮动力特性分析[J].机械传动,2022,46(04):55-62. DOI： 10.16578/j.issn.1004.2539.2022.04.008.

Liu Wenyu,Sun Yongguo,Yu Guangbin,et al.Analysis of Gear Dynamic Characteristic of Oil Churning Resistance under Stochastic Disturbance[J].Journal of Mechanical Transmission,2022,46(04):55-62. DOI： 10.16578/j.issn.1004.2539.2022.04.008.

摘要

搅油润滑是齿轮系统一种重要的润滑方式，由于润滑油的黏弹性会使浸入其中的齿轮在高速运转时获得额外的阻力，且齿轮系统由于自激振动等因素，时刻存在一些不确定的扰动。因此，综合考虑啮合间隙、时变啮合刚度、传动误差、随机扰动以及搅油阻力等非线性因素，通过拉格朗日法建立了6自由度的直齿轮非线性动力学模型，运用龙格-库塔方法求解得到系统的分岔图、相图、Poincarè图、时间历程图和动态载荷系数（Dynamic load factor，DLF），综合分析对比了随机扰动下搅油阻力对齿轮系统动态特性的影响。结果表明，随机扰动会使系统的混沌特性发生变化，相图的表现尤为明显，轨迹形状不变，但周期性受到明显影响，周期运动转向准周期运动；在以随机扰动为正常工作状态的条件下，搅油阻力会使得系统提前进入混沌状态。

Abstract

Oil churning lubrication is an important lubrication method of gear system. Considering the viscoelasticity of the lubricant oil will result in additional resistance upon gears immersed in the oil while running at high-speed，and the gear system can get disturbed at all times due to self-exciting vibration and other factors. Thus，considering the backlash，time-varying mesh stiffness，transmission error，stochastic disturbances，oil churning resistance and other nonlinear factors， compares and analyzes the influence of oil churning resistance upon dynamic characteristics of the gear system under stochastic disturbance by establishing a nonlinear dynamic model of straight gears with 6 degrees of freedom and using by Lagrange method using the bifurcation diagram，phase diagram，Poincarè diagram，time-history graph and dynamic load factors （DLF） obtained by the R-K method. The results show that stochastic disturbances can change the chaotic characteristics of the system，and its influence on the phase diagram is particularly obvious，the trajectory shape remains the same，but the periodicity is significantly affected and the periodic motion turns to quasi-periodic motion. When the condition of being under stochastic disturbances is considered as a normal working state，the oil churning resistance can make the system enter the chaotic state in advance.

关键词

非线性随机扰动搅油阻力分岔混沌

Keywords

NonlinearStochastic disturbanceOil churning resistanceBifurcationChaos

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