[1]黄晓冬,袁银男,欧阳天成,等.多级平行轴滚筒齿轮数学建模及动力学分析[J].东南大学学报(自然科学版),2018,48(4):605-612.[doi:10.3969/j.issn.1001-0505.2018.04.004]
 Huang Xiaodong,Yuan Yinnan,Ouyang Tiancheng,et al.Mathematical modeling and dynamic analysis of multi-shaft cylinder gears[J].Journal of Southeast University (Natural Science Edition),2018,48(4):605-612.[doi:10.3969/j.issn.1001-0505.2018.04.004]
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多级平行轴滚筒齿轮数学建模及动力学分析()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
48
期数:
2018年第4期
页码:
605-612
栏目:
机械工程
出版日期:
2018-07-20

文章信息/Info

Title:
Mathematical modeling and dynamic analysis of multi-shaft cylinder gears
作者:
黄晓冬1袁银男1欧阳天成23陈南2潘明章3
1江苏大学汽车与交通工程学院, 镇江 212013; 2东南大学机械学院, 南京 211189; 3广西大学机械工程学院, 南宁 530004
Author(s):
Huang Xiaodong1 Yuan Yinnan1 Ouyang Tiancheng23 Chen Nan2 Pan Mingzhang3
1School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013, China
2School of Mechanical Engineering, Southeast University, Nanjing 211189, China
3College of Mechanical Engineering, Guangxi University, Nanning 530004, China
关键词:
胶印机 滚筒齿轮 动力学模型 动态特性
Keywords:
offset press cylinder gear dynamic model dynamic characteristics
分类号:
TH132.41
DOI:
10.3969/j.issn.1001-0505.2018.04.004
摘要:
为了提高胶印机运行稳定性和印刷效率,针对齿轮传动系统动力学问题,建立多级平行轴滚筒齿轮数学模型,利用数值解分析系统动力学特性.在合理简化基础上,用数学公式描述滚筒齿轮的动态啮合力、啮合刚度、啮合阻尼、静态传动误差、等效轴承刚度和等效质量.基于集中参数法建立多级平行轴滚筒齿轮动力学模型,利用Newmark-β法求解系统控制方程.最后,从动态啮合力、角速度两方面与ADAMS模拟仿真结果做对比,验证了所建数学模型的计算精度,分析了加速度随转速的变化趋势,并研究螺旋角、压力角对啮合刚度波动的影响.数值结果显示,加速度随转速的提高而增大,在7 000, 11 000, 16 000 r/h转速下出现峰值;当螺旋角为10°、压力角为16°时,啮合刚度标准差较小.所建数学模型能够为滚筒齿轮系统动态特性的改善提供理论支持和分析方法.
Abstract:
For the sake of improving the operational stability and efficiency of offset press, a mathematical model for multi-shaft cylinder gears, focused on the dynamics of the gear transmission system, was established to study the dynamic characteristics by using the numerical solutions. The dynamic meshing force, meshing stiffness, meshing damping, static transmission error, equivalent bearing stiffness and equivalent mass, derived from cylinder gears, were described utilizing a mathematical tool on the basis of reasonable simplification. A dynamic model of multi-shaft cylinder gears was proposed based on the lumped parameter method, and the governing equations were solved by the Newmark-β method. Finally, the accuracy of the mathematical model was verified by comparing with the ADAMS simulation results from the aspects of dynamic meshing force and angular velocity, the influence of speed on acceleration and the influences of helix angle and pressure angle on meshing stiffness fluctuation were also studied. Numerical results show that the acceleration increases with the increase of speed, and there exist peak values at rotational speeds of 7 000, 11 000, and 16 000 r/h; the standard deviation of meshing stiffness is smaller when the helix angle and pressure angle are equal to 10° and 16°, respectively. Thus, the proposed mathematical model can provide theoretical support and analytical methods for the improvement of the dynamic characteristics of the cylinder gear system.

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相似文献/References:

[1]李文威,陈南,殷国栋,等.基于虚拟样机的胶印机虚拟试验及串墨初始相位优化[J].东南大学学报(自然科学版),2011,41(1):101.[doi:10.3969/j.issn.1001-0505.2011.01.020]
 Li Wenwei,Chen Nan,Yin Guodong,et al.Virtual experiments and initial ink vibrating phase angle optimization of offset press based on virtual prototyping[J].Journal of Southeast University (Natural Science Edition),2011,41(4):101.[doi:10.3969/j.issn.1001-0505.2011.01.020]
[2]欧阳天成,黄豪中,王攀,等.胶印机齿轮传动系统动力学建模及优化设计[J].东南大学学报(自然科学版),2016,46(6):1172.[doi:10.3969/j.issn.1001-0505.2016.06.011]
 Ouyang Tiancheng,Huang Haozhong,Wang Pan,et al.Dynamics modeling and dynamic optimization design for offset press gear transmission system[J].Journal of Southeast University (Natural Science Edition),2016,46(4):1172.[doi:10.3969/j.issn.1001-0505.2016.06.011]

备注/Memo

备注/Memo:
收稿日期: 2018-01-16.
作者简介: 黄晓东(1971—), 男, 博士生; 欧阳天成(联系人),男, 博士, 讲师, ouyangtiancheng@163.com.
基金项目: 国家重大科技专项基金资助项目(2013ZX04012032)、广西自然科学基金资助项目(2017GXNSFBA198198).
引用本文: 黄晓冬,袁银男,欧阳天成,等.多级平行轴滚筒齿轮数学建模及动力学分析[J].东南大学学报(自然科学版),2018,48(4):605-612. DOI:10.3969/j.issn.1001-0505.2018.04.004.
更新日期/Last Update: 2018-07-20