[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] 点击复制 多级平行轴滚筒齿轮数学建模及动力学分析() 分享到： var jiathis_config = { data_track_clickback: true };

48

2018年第4期

605-612

2018-07-20

文章信息/Info

Title:
Mathematical modeling and dynamic analysis of multi-shaft cylinder gears

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):
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

Keywords:

TH132.41
DOI:
10.3969/j.issn.1001-0505.2018.04.004

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]