A study on vibration characteristics of a cylindrical spur gear with the contact mechanism of back teeth and optimization of double teeth surfaces modification
WANG Feng1 ZHU Yanlin2 XU Xing1 CHEN Long1 ZHOU Zhiguang3 SUN Xiaoqiang1
1.Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, China;
2.School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013 , China;
3.New Energy Development Department Powertrain Technology Center, Chery Automobile Co., Ltd., Wuhu 241009 , China
In order to effectively analyze the nonlinear vibration characteristics of a high-speed cylindrical helical gear, effective suppression of tooth surface vibration, dynamic meshing stiffness of cylindrical helical gears with contact characteristics of tooth back was established through a loaded tooth contact model, and the coupling mechanism between meshing stiffness, meshing time and vibration displacement was obtained.The nonlinear vibration model of the high-speed cylindrical helical gear transmission system was established considering the excitations of tooth surface/back meshing stiffness and the corner impact force.The optimization of the surface modification of the double teeth surfaces was studied.The results of show that the meshing vibration acceleration of the helical gear with tooth back meshing stiffness is obviously larger than that without the stiffness, and the former performs more complex bifurcation characteristics.Compared to the standard tooth surface and the single surface modification, the cylindrical helical gear with double surfaces modification has the smallest meshing vibration acceleration, and it also increases the speed range for stable operation.
收稿日期: 2017-08-08
出版日期: 2018-12-15
引用本文:
王 峰1 朱彦霖2 徐 兴1 陈 龙1 周之光3 孙晓强1. 融合齿背接触机理的圆柱斜齿轮振动特性分析与双面修形优化研究[J]. 振动与冲击, 2018, 37(24): 53-60.
WANG Feng1 ZHU Yanlin2 XU Xing1 CHEN Long1 ZHOU Zhiguang3 SUN Xiaoqiang1. A study on vibration characteristics of a cylindrical spur gear with the contact mechanism of back teeth and optimization of double teeth surfaces modification. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(24): 53-60.
[1] Sondkar P. Dynamic modeling of double-helical planetary gear sets[J]. Dissertations & Theses-Gradworks, 2012.
[2] 周飞鲲. 纯电动汽车动力系统参数匹配及整车控制策略研究[D]. 吉林大学, 2013.
Zhou Feikun. Research on powertrain parameters design and vehicle control strategy for pure electric vehicle[D]. Jilin University, 2013.
[3] Tamminana V K, Kahraman A, Vijayakar S. A study of the relationship between the dynamic factors and the dynamic transmission error of spur gear pairs[J]. Journal of Mechanical Design, 2007, 129(1): 75-84.
[4] Kubur M, Kahraman A. Dynamic analysis of a multiShaft helical gear transmission by finite elements: model and experiment[J]. Journal of Vibration & Acoustics, 2004, 126(3): 398-406.
[5] Ghorpade S S. Dynamic modeling of PGT using analytical & numerical approach[J]. Pediatric Research, 2013, 74(1): 2-4.
[6] Zhenxing Liu, Zhansheng Liu, Jingming Zhao, et al. Study on interactions between tooth backlash and journal bearing clearance nonlinearity in spur gear pair system[J]. Mechanism and Machine Theory, 2017, 107: 229-245.
[7] 张霖霖, 朱如鹏, 靳广虎,等. 内激励作用下的单对齿轮振动噪声分析[J]. 振动工程学报, 2014, 27(6): 915-919.
Zhang Linlin, Zhu Rupeng, Jin Guanghu. Vibration and noise analysis of internal excitations of single pair of gears[J]. Journal of Vibration Engineering, 2014, 27(6): 915-919.
[8] 苟向锋, 祁常君, 陈代林. 考虑齿面接触温度的齿轮系统非线性动力学建模及分析[J]. 机械工程学报, 2015, 51(11):71-77.
Gou Xiangfeng, Qi Changjun, Chen Dailin. Nonlinear dynamic modelling and analysis of gear system with tooth contact temperature[J]. Journal of Mechanical Engineering, 2015, 51(11): 71-77.
[9] 刘占生, 崔亚辉, 叶建槐,等. 非线性油膜力和啮合力作用下齿轮系统的振动特性研究[J]. 中国电机工程学报, 2009(23): 84-91.
Liu Zhansheng, Cui Yahui, Ye Jianhuai. Research on vibration characteristics of gear system with nonlinear oil film force and mesh Force[J]. Proceedings of the CSEE, 2009(23): 84-91.
[10] 陈小安, 缪莹赟, 杨为,等. 基于有限单元法的多间隙耦合齿轮传动系统非线性动态特性分析[J]. 振动与冲击, 2010, 29(2): 46-49.
Chen Xiao’an, Miu Yingyun, Yang Wei, Kang Huimin. Nonlinear dynamic characteristics analysis of a gear transmission system with multiple clearances based on finite element method[J]. Journal of Vibration & Shock, 2010, 29(2): 46-49.
[11] 秦大同, 周志刚, 杨军,等. 随机风载作用下风力发电机齿轮传动系统动态可靠性分析[J]. 机械工程学报, 2012, 48(3): 1-8.
Qin Datong, Zhou Zhigang, Yang Jun. Time-dependent reliability analysis of gear transmission system of wind turbine under stochastic wind load[J]. Journal of Mechanical Engineering, 2012, 48(3): 1-8.
[12] 周志刚, 秦大同, 杨军,等. 考虑失效相关性的风力发电机齿轮传动系统动态可靠性分析[J]. 太阳能学报, 2013, 34(7): 1212-1219.
Zhou Zhigang, Qin Datong, Yang Jun. Time-dependent reliability analysis of gear transmission system of wind turbine under stochastic wind load[J]. Acta Energiae Solaris Sinica, 2013, 34(7): 1212-1219.
[13] 王峰, 方宗德, 李声晋. 滚动轴承支撑人字齿轮传动系统动力传递过程分析研究[J]. 机械工程学报, 2014, 50(3): 25-32.
Wang Feng, Fang Zongde, Li Shengjin. Research and analysis on power transmission processing of herringbone gear trains system with rolling bearing support[J]. Journal of Mechanical Engineering, 2014, 50(3): 25-32.
[14] 王峰, 方宗德, 李声晋,等. 人字齿轮系统振动传递分析优化与试验验证[J]. 机械工程学报, 2015, 51(1): 34-42.
Wang Feng, Fang Zongde, Li Shengjin. Analysis optimization and experimental verification of herringbone gear transmission system[J]. Journal of Mechanical Engineering, 2015, 51(1): 34-42.
[15] 王峰, 方宗德, 李声晋. 重合度对人字齿轮非线性系统振动特性的影响分析[J]. 振动与冲击, 2014(3):18-22.
Wang Feng, Fang Zongde, Li Shengjin. Effect of contact ratio on dynamic behavior of a double-helical gear nonlinear system[J]. Journal of Vibration and Shock, 2014(3):18-22.
[16] 王峰. 人字齿轮传动系统振动特性分析与试验研究[D]. 西北工业大学, 2014.
Wang Feng. Analysis and experimental study on vibration characteristics of herringbone gear transmission system[D]. Northwestern Polytechnical University, 2014.
[17] 任万龙, 郝宗睿, 王越, 徐娟. 改进粒子群算法在三维水翼设计中的应用[J]. 江苏大学学报(自然科学版), 2017, 38(2): 168-172.
Ren Wanlong, Hao Zongrui, Wang Yue, Xu Juan. Application of improved particle swarm algorithm in 3D design of hydrofoil[J]. Journal of Jiangsu University (Natural Science Edition), 2017, 38(2): 168-172.
[18] 何 仁, 徐益强. 并联混合动力汽车混合驱动模式的换挡规律[J]. 江苏大学学报(自然科学版), 2016, 37(6): 657-662.
He Ren, Xu Yiqiang. Shift schedule of parallel hybrid electric vehicles under hybrid driving mode[J]. Journal of Jiangsu University (Natural Science Edition), 2016, 37(6): 657-662.
[19] 杨洋, 詹永照, 王新宇. 基于相对位置的2阶段低级动作分割方法[J]. 江苏大学学报(自然科学版), 2017, 38(2): 186-191.
Yang yang, Zhan Yongzhao, Wang Xinyu. A two-phase low-level motion data segmentation method based on relative position[J]. Journal of Jiangsu University (Natural Science Edition), 38(2): 186-191.
[20] 江洪, 周扬扬, 王玉杰, 李美. 随机干扰下横向互联空气悬架车身高度控制[J]. 江苏大学学报(自然科学版), 2017, 38(4): 383-388.
Jiang hong, Zhou yangyang, Wang yujie, Li mei. Body height control of vehicles with laterally interconnected air suspension system under pavement disturbance [J]. Journal of Jiangsu University (Natural Science Edition), 38(4): 383-388.
[21] Masoumi A, Pellicano F, Samani F S, et al. Symmetry breaking and chaos-induced imbalance in planetary gears[J]. Nonlinear Dynamics, 2015, 80(1-2): 561-582.
[22] 江浩斌, 李臣旭, 马世典, 丁世宏, 张超. 智能车辆自动泊车路径跟踪的非光滑控制策略[J]. 江苏大学学报(自然科学版), 2017, 38(5): 497-502.
Jiang haobin, Li chenxu, Ma shidian, Ding shihong, Zhang chao. Path tracking control of automatic parking for intelligent vehicle based on non-smooth control strategy[J]. Journal of Jiangsu University (Natural Science Edition), 38(4): 497-502.
[23] Li Z, Yan X, Wang X, et al. Detection of gear cracks in a complex gearbox of wind turbines using supervised bounded component analysis of vibration signals collected from multi-channel sensors[J]. Journal of Sound & Vibration, 2016, 371: 406-433.
[24] 杨洋, 詹永照, 王新宇. 基于加权置信度的运动捕捉数据低级时域分割算法[J]. 江苏大学学报(自然科学版), 2015, 36(3): 310-318.
Yang yang, Zhan Yongzhao, Wang Xinyu. Low-level temporal segmentation of motion capture data based on weighted confidence[J]. Journal of Jiangsu University (Natural Science Edition), 2015, 36(3): 310-318.