Journal of Textile Research ›› 2024, Vol. 45 ›› Issue (03): 177-184.doi: 10.13475/j.fzxb.20221102401

• Machinery & Equipment • Previous Articles     Next Articles

Optimization of gear transmission mechanism of detaching roller for comber

LIU Jinru1,2, LI Xinrong1,2(), WANG Jiankun3, WANG Hao3, SHI Shuaixing1,2, WANG Biao1,2   

  1. 1. School of Mechanical Engineering, Tiangong University, Tianjin 300387, China
    2. Tianjin Key Laboratory of Advanced Mechatronics Equipment Technology, Tianjin 300387, China
    3. School of Textile Science and Engineering, Tiangong University, Tianjin 300387, China
  • Received:2022-11-07 Revised:2023-03-29 Online:2024-03-15 Published:2024-04-15
  • Contact: LI Xinrong E-mail:lixinrong7505@hotmail.com

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Abstract:

Objective With the increase of combing speed, the internal excitation frequencies of the hybrid-driven gear transmission mechanism of the comber detaching roller will increase. When it approaches the natural frequencies of the transmission mechanism, the mechanism will have resonance, causing damage to some components. Therefore, in order to master the dynamic performance of the transmission mechanism and avoid resonance, it is necessary to study the influence of the change of mechanism parameters on the inherent characteristics and then optimize the design of the transmission mechanism.

Method A hybrid-driven gear transmission mechanism of the comber detaching roller was designed. The lumped-mass method was adopted to establish the natural frequency model of the transmission mechanism, and the excitation frequencies of the transmission mechanism at different comber speeds were calculated. Then, the sensitivity model of the natural frequency of the transmission mechanism to moment of inertias was obtained by derivative method. Finally, by optimizing the number of teeth of each gear in WW differential gear train of the transmission mechanism to change the moment of inertia, the first order natural frequency was increased.

Results The natural frequencies of the transmission mechanism were divided into two types according to the number of multiple roots: single root frequency and N-1 multiple root frequency. With the increase of the number of double planetary gears, the single root frequencies changed, while the N-1 multiple root frequencies were independent of the number of double planetary gears. When the speed of the combing locomotive was 300, 400 and 500 nips/min, the internal excitation frequency of the transmission mechanism did not intersect with the natural frequency, and the mechanism operated normally without resonance. However, when the speed of the combing machine was increased to 600 nips/min, the meshing frequency of the gear pair c-d intersected the first order natural frequency (points A and B), and the mechanism may resonate at these two points. Then, the first order natural frequency decreases with the increase of the moment of inertia of each component. Among them, the first order natural frequency showed the highest sensitivity to the moment of inertia of planetary gear p, and was almost insensitive to the moment of inertia of planetary carrier h and gear b. With the increase of the rotational inertia of planetary gears p and q, the first order natural frequency was decreased rapidly at the initial stage and then decreases gently. With the increase of the rotational inertia of sun gear s and a, the first order natural frequency was decreased gradually with almost constant slope. After parameter optimization, the first natural frequency of the transmission mechanism became 1 259.28 Hz, 43.44% higher than the original, which would avoid the intersection of the internal excitation frequency and the natural frequency of the mechanism when the combing locomotive speed was raised to 600 nips/min, ensuring that the transmission mechanism operates normally without resonance.

Conclusion The method of concentrated mass is adopted to establish the natural frequency model of the hybrid-driven gear transmission mechanism of the comber detaching roller. The relationship between the natural frequency and the excitation frequency of the transmission mechanism under different comber speeds are calculated, and the number of teeth of each gear of WW differential gear train in the transmission mechanism is optimized according to the sensitivity analysis. Further experiments will be carried out in the future to promote the progress of combers.

Key words: comber, detaching roller, hybrid-driven, gear transmission mechanism

CLC Number: 

  • TS112.2

Fig.1

Structure of hybrid-driven gear transmission mechanism of detaching roller for comber"

Tab.1

Basic parameters of each component in hybrid-driven gear transmission mechanism of comber detaching roller"

构件 齿数
z		 模数
M/mm		 质量
m/kg		 齿宽
b/mm		 压力角/
(°)
太阳轮s 39 2.5 1.48 35.0 20
行星轮pi 21 2.5 0.44 34.5 20
行星轮qi 28 2.5 0.49 34.5 20
太阳轮a 32 2.5 1.13 35.0 20
行星架h 95 2.5 13.15 40.0 20
齿轮b 80 2.5 9.30 40.0 20
齿轮c 87 1.25 2.51 30.0 20
齿轮d 28 1.25 0.14 30.0 20

Fig.2

Dynamic model of hybrid-driven gear transmission mechanism of detaching roller for comber. (a) Dynamic model of differential gear train; (b) Dynamic model of ordinary gear"

Tab.2

Natural frequencies of hybrid-driven gear transmission mechanism of detaching roller for comber with different numbers of double planet gears"

重根数l 固有频率/Hz
N=3 N=4 N=5
1 0 0 0
877.91 833.47 795.21
2 205.41 2 231.39 2 234.65
3 216.55 3 275.18 3 286.47
3 948.10 3 803.59 3 754.51
13 443.61 14 418.16 15 269.65
14 404.22 15 644.83 16 845.14
18 208.75 18 208.90 18 209.29
N-1 7 348.40 7 348.40 7 348.40
10 489.92 10 489.92 10 489.92

Fig.3

Relationship between internal excitation frequencies and natural frequency at different speeds of comber. (a) 300 nips/min; (b) 400 nips/min; (c) 500 nips/min; (d) 600 nips/min"

Tab.3

Sensitivity of natural frequency to moments of inertia detaching roller"

构件 灵敏度/(s-1·kg-1·m-2)
行星架h -41.412
太阳轮s -21 057.834
行星轮pi -171 958.096
行星轮qi -132 705.041
太阳轮a -38 813.131
齿轮b -70.356
齿轮c -16 521.474
齿轮d -160 289.909

Fig.4

Influence of moments of inertia on natural frequency"

Fig.5

Relationship between internal excitation frequencies and natural frequencies of transmission mechanism after optimization"

[1] 任家智, 高卫东, 谢春萍, 等. 棉精梳机分离罗拉顺转定时对棉网均匀度的影响[J]. 纺织学报, 2014, 35(3): 127-131.
REN Jiazhi, GAO Weidong, XIE Chunping, et al. Influence of forward motion timing of comber detaching roller on evenness of cotton web[J]. Journal of Textile Research, 2014, 35(3): 127-131.
[2] 陈宇恒, 高卫东, 任家智. 精梳机分离牵伸力在线检测与规律分析[J]. 纺织学报, 2022, 43(8): 1-6.
CHEN Yuheng, GAO Weidong, REN Jiazhi. On-line detection and pattern analysis of separation drafting force in comber[J]. Journal of Textile Research, 2022, 43(8): 1-6.
doi: 10.1177/004051757304300101
[3] 贾国欣, 任毅, 李留涛. 精梳机分离罗拉连杆传动机构的减振平衡优化[J]. 棉纺织技术, 2015, 43(8): 17-21.
JIA Guoxin, REN Yi, LI Liutao. Vibration damping balance optimization of comber detaching roller rod transmission mechanism[J]. Cotton Textile Technology, 2015, 43(8): 17-21.
[4] 李留涛, 贾国欣, 任家智. 精梳机分离罗拉传动机构的平衡优化[J]. 纺织学报, 2015, 36(8): 133-138.
LI Liutao, JIA Guoxin, REN Jiazhi. Balance optimization based on detaching roller transmission mechanism of combing machine[J]. Journal of Textile Research, 2015, 36(8): 133-138.
[5] LI X R, JIANG X M, WANG S Z, et al. Driving mechanism of cotton comber's detaching roller based on time-sharing unidirectional drive[J]. Journal of Donghua University (English Edition), 2014, 31(4): 429-432.
[6] 刘立东, 李新荣, 杨海鹏, 等. 棉精梳机分离罗拉伺服驱动研究[J]. 纺织学报, 2020, 41(1): 158-164.
LIU Lidong, LI Xinrong, YANG Haipeng, et al. Research on servo drive of detaching roller of cotton combing machines[J]. Journal of Textile Research, 2020, 41(1): 158-164.
doi: 10.1177/004051757104100212
[7] KAHRAMAN A. Natural modes of planetary gear trains[J]. Journal of Sound and Vibration, 1994, 173(1): 125-130.
doi: 10.1006/jsvi.1994.1222
[8] LIN J, PARKER R G. Sensitivity of planetary gear natural frequencies and vibration modes to model parameters[J]. Journal of Sound and Vibration, 1999, 228(1): 109-128.
doi: 10.1006/jsvi.1999.2398
[9] 张俊, 刘先增, 焦阳, 等. 基于刚柔耦合模型的行星传动固有特性分析[J]. 机械工程学报, 2014, 50(15): 104-112.
ZHANG Jun, LIU Xianzeng, JIAO Yang, et al. Vibration analysis of planetary gear trains based on a discrete-continuum dynamic model[J]. Journal of Mechanical Engineering, 2014, 50(15): 104-112.
[10] QIAN P Y, ZHANG Y L, CHENG G, et al. Model analysis and verification of 2K-H planetary gear system[J]. Journal of Vibration and Control, 2015, 21(10): 1946-1957.
doi: 10.1177/1077546313496575
[11] ZHANG A Q, WEI J, QIN D T, et al. Analytical coupling characterization of multi-stage planetary gear free vibration considering flexible structure[J]. Journal of Vibroengineering, 2017, 19(6): 3994-4008.
doi: 10.21595/jve
[12] ZHANG L, WANG Y, WU K, et al. Dynamic modeling and vibration characteristics of a two-stage closed-form planetary gear train[J]. Mechanism and Machine Theory, 2016, 97: 12-28.
doi: 10.1016/j.mechmachtheory.2015.10.006
[13] 李孝磊, 葛文庆, 汪学杞, 等. 全电直驱集成动力系统扭振固有特性灵敏度分析及动力学设计[J]. 科学技术与工程, 2020, 20(15): 6252-6259.
LI Xiaolei, GE Wenqing, WANG Xueqi, et al. Sensitivity analysis and dynamics design of natural characteristic torsional vibration of integrated electric power system[J]. Science Technology and Engineering, 2020, 20(15): 6252-6259.
[14] 窦作成, 李以农, 杜明刚, 等. 多档位行星变速传动系统动力学参数优化修改[J]. 振动与冲击, 2018, 37(4): 67-74, 159.
DOU Zuocheng, LI Yinong, DU Minggang, et al. Dynamic optimization and modification for the parameters of a multi-speed planetary transmission system[J]. Journal of Vibration and Shock, 2018, 37(4): 67-74, 159.
[15] 杨海鹏, 李新荣, 吕鹏飞, 等. 采用混合驱动的精梳机分离罗拉传动机构[J]. 纺织学报, 2019, 40(4): 122-128.
YANG Haipeng, LI Xinrong, LÜ Pengfei, et al. Detaching roller drive mechanism of a comber based on hybrid-driven[J]. Journal of Textile Research, 2019, 40(4): 122-128.
[16] LIN J, PARKER R G. Analytical characterization of the unique properties of planetary gear free vibration[J]. Journal of Vibration and Acoustics-Transactions of the ASME, 1999, 121(3): 316-321.
doi: 10.1115/1.2893982
[17] 王世宇, 宋轶民, 沈兆光, 等. 行星传动系统的固有特性及模态跃迁研究[J]. 振动工程学报, 2005(4): 412-417.
WANG Shiyu, SONG Yimin, SHEN Zhaoguang, et al. Research on natural characteristics and loci veering of planetary gear transmissions[J]. Journal of Vibration Engineering, 2005(4): 412-417.
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[4] LI Jinjian, REN Jiazhi, LIANG Zhuo, JIA Guoxin. Dynamic analyses on nipper pendulum shaft in cotton combers [J]. Journal of Textile Research, 2021, 42(06): 160-165.
[5] LIU Lidong, LI Xinrong, YANG Haipeng, BU Zhaoning. Research on servo drive of detaching roller of cotton combing machines [J]. Journal of Textile Research, 2020, 41(01): 158-164.
[6] YANG Haipeng, LI Xinrong, LÜ Pengfei, WANG Zhenyu. Detaching roller drive mechanism of a comber based on hybrid-driven [J]. Journal of Textile Research, 2019, 40(04): 122-128.
[7] . Balance optimization based on detaching roller transmission mechanism of combing machine [J]. JOURNAL OF TEXTILE RESEARCH, 2015, 36(08): 133-138.
[8] . Nipper opening-closing time of cotton comber [J]. Journal of Textile Research, 2015, 36(07): 121-125.
[9] Yu-Heng CHEN. Influence of foward motion timing of comber detaching roller on evenness of cotton web [J]. JOURNAL OF TEXTILE RESEARCH, 2014, 35(3): 127-0.
[10] . Research and application of high-speed and energy-saving combing technology [J]. JOURNAL OF TEXTILE RESEARCH, 2013, 34(2): 141-145.
[11] limin mao. Comber for cotton fiber based on new parallel combing concept [J]. JOURNAL OF TEXTILE RESEARCH, 2013, 34(12): 113-0.
[12] MA Qinghong;XU Bojun;Wang Xiaoxu;Wu Biyun;Xu Jin. Dynamic balance optimization of middle shaft system of cotton comber based on ADAMS [J]. JOURNAL OF TEXTILE RESEARCH, 2010, 31(10): 121-123.
[13] JIA Guoxin;REN Jiazhi;YANG Yuguang. Influence of nipper machine parameter of E62 comber on nipper holding process performance [J]. JOURNAL OF TEXTILE RESEARCH, 2008, 29(12): 83-86.
[14] REN Jia-zhi;JIA Guo-xin. Influence of dropping scales of E7/6 comber on process performance [J]. JOURNAL OF TEXTILE RESEARCH, 2006, 27(6): 78-80.
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