Abstract
The double drum coal shearer is widely applied for the underground coal exploration in the mining industry. The vibration and noise control are significant factors for the stability design of the double drum coal shearer. In this paper, the vibration properties of a double drum coal shearer are firstly investigated. The horizontal, transverse and torsional vibrations of the motor body and the angle displacements of the rockers are taken into account. The walking units and the hydraulic units are modeled by the stiffness-damping systems. The nonlinear equation of motion of the double drum coal shearer is established by applying the Lagrange’s equation. The nonlinear vibration response of the system is calculated by using the Runge Kutta numerical method. The effects of the shearing loads, the equivalent damping and stiffness of the walking units, the inclination angels of the rockers and the equivalent damping and stiffness of the hydraulic units on the vibration properties of the system are discussed.
摘要
双滚筒采煤机广泛应用于煤矿工业中的地下煤炭开采。 采煤机的振动和噪声控制是对采煤机进行稳定性设计的重要因素之一。 本文对双滚筒采煤机的多体动力学振动特性进行分析。 考虑采煤机机身横向、纵向和扭转位移,以及采煤机摇臂的转角,将采煤机行走部以及液压缸模拟为弹簧-阻尼系统,采用Lagrange 法建立了双滚筒采煤机的非线性多体动力学模型,并用龙格库塔法进行数值求解。 讨论了截割载荷、行走部的等效弹性-阻尼系数、摇臂转角以及液压缸的等效弹性-阻尼系数对系统振动行为的影响。 通过仿真结果提出了对于双滚筒采煤机稳定性的若干设计建议。 本文可为煤炭开采机械的设计提供依据。
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References
EVANS I. The force required to cut coal with blunt wedges [J]. International Journal of Rock Mechanics and Mining Science, 1965, 2: 1–12. DOI: https://doi.org/10.1016/0148-9062(65)90018-5.
EVANS I. Line spacing of picks for effective cutting [J]. International Journal of Rock Mechanics and Mining Sciences, 1972, 9(3): 355–361. DOI: https://doi.org/10.1016/0148-9062(72)90003-4.
FOSDYKE GERALD B. Coal mining: Research, technology and safety [M]. Nova Science Publishers, 2008.
GAO K D, WANG L P, DU C L, LI J N, DONG J H. Research on the effect of dip angle in mining direction on drum loading performance: A discrete element method [J]. International Journal of Advanced Manufacturing Technology, 2017, 89: 2323–2334. DOI: https://doi.org/10.1007/s00170-016-9251-7.
YANG Y, FAN H, MA P. Research on dynamic characteristics for longwall shearer cutting transmission system with varying cutting speed [J]. International Journal of Advanced Manufacturing Technology, 2017, 18: 1131–1138. DOI: https://doi.org/10.1007/s12541-017-0132-2.
ZHANG Q, WANG Y, LI B Q, TIAN Y. Vibration analysis of a three-drum shearer for a large mining height [J]. Strength of Materials, 2020, 52: 160–170. DOI: https://doi.org/10.1007/s11223-020-00161-2.
ZHANG R, ZHANG Y M. Dynamic model and analysis of the traction unit gear system in long wall coal shearer [J]. Journal of Multi-Body Dynamics, 2020, 234(3): 546–567. DOI: https://doi.org/10.1177/1464419320913698.
ZHANG R, ZHANG Y M. Dynamic characteristics for coal shearer cutting unit gearbox housing [J]. Mechanics & Industry, 2020, 21(2): 211. DOI: https://doi.org/10.1051/meca/2020008.
CHEN J J, LI W, SHENG L C, JIANG S, LI M. Study on reliability of shearer permanent magnet semi-direct drive gear transmission system [J]. International Journal of Fatigue, 2020, 132: 105387.
WANG J, SONG S Y, LI P. An experimental research of dynamic characteristics for long wall shearer cutting unit gearbox in oblique cutting [J]. International Journal of Coal Science & Technology, 2020, 7: 388–396. DOI: https://doi.org/10.1016/j.ijfatigue.2019.105387.
JIANG S, LI W, XIN G F, SHENG L C, FAN M B, YANG X F. Analysis of torsional vibration characteristics and time delay feedback control of semi-direct drive cutting transmission system in shearer [J]. Chaos, Solitons & Fractals, 2020, 132: 109607. DOI: https://doi.org/10.1016/j.chaos.2020.109607.
SHENG L C, LI W, WANG Y Q, FAN M B, YANG X F. Nonlinear dynamic analysis of an electromechanical coupling transmission system: A case study on shearers [J]. Journal of Mechanical Engineering Science, 2018, 095440621877070. DOI: https://doi.org/10.1177/0954406218770703.
YANG D L, LI J P, WANG Y X, JIANG H X. Analysis on vertical steering vibration of drum shearer cutting part [J]. Journal of Central South University, 2018, 25: 272–2732. DOI: https://doi.org/10.1007/s11771-018-3949-7.
GAO K D, ZENG Q L, JIANG K, WANG L R. Dynamic characteristics analysis on shearer drum in condition of cutting coal with different distributed rocks [J]. Journal of Vibroengineering, 2018, 20(8): 2796–2809. DOI: https://doi.org/10.21595/jve.2018.19531.
CHEN H Y, ZHANG K, PIAO M B, WANG X, MAO J, SONG Q S. Virtual simulation analysis of rigid-flexible coupling dynamics of shearer with clearance [J]. Shock and Vibration, 2018, 2018: 6179054. DOI: https://doi.org/10.1155/2018/6179054.
ZHOU D, ZHANG X F, ZHANG Y M. Dynamic reliability analysis for planetary gear system in shearer mechanisms [J]. Mechanism and Machine Theory, 2016, 105: 244–259. DOI: https://doi.org/10.1016/j.mechmachtheory.2016.07.007.
GAO H B, YANG Z J. Dynamic analysis and research of motor’s elastic shaft of the large miner high shearer’s cutting parts [J]. Applied Mechanics and Materials, 2011, 108: 105–110. DOI: https://doi.org/10.4028/www.scientific.net/AMM.108.105.
WANG S B, ZHANG B Y, WANG S J, GE S R. Dynamic precise positioning method of shearer based on closing path optimal estimation model [J]. IEEE Transactions on Automation Science and Engineering, 2019, 16(3): 1468–1475. DOI: https://doi.org/10.1109/TASE.2018.2871758.
GE S S, QIN D T, HU M H, LIU Y G. Active torque control for gear dynamic load suppression in a drum shearer cutting transmission system under impact loads [J]. Journal of Vibration and Control, 2018, 24: 5072–5086. DOI: https://doi.org/10.1177/1077546317743121.
JIA H J, QIN D T. Effects of ranging arm housing’s large deformation on the dynamic responses of the cutting transmission system for a drum shearer [J]. Advances in Mechanical Engineering, 2019, 11(4): 1–15. DOI: https://doi.org/10.1177/1687814019844361.
LI J, GUO H. Vibration characteristics of shearer cutting unit based on multibody dynamics [J]. Electronic Journal of Geotechnical Engineering, 2014, 19(4): 3195–3208. DOI: https://doi.org/10.5187/JAST.2004.46.4.625.
GAO H, YANG Z. Study on rocker arm’s computer kinetic simulation of drum shearer [J]. ICIC Express Letters, Part B: Applications, 2013, 4(2): 281–286.
LIU S Y, LUO C X. Vibration experiment of shearer walking unit [J]. Applied Mechanics and Materials, 2012, 268–270: 1257–1261. DOI: https://doi.org/10.4028/www.scientific.net/AMM.268-270.1257.
ZHAO L J, LV D, LIU Y. Design of the shearer’s vibration analysis test system based on LabVIEW [J]. Applied Mechanics and Materials, 2011, 52–54: 606–611. DOI: https://doi.org/10.4028/www.scientific.net/AMM.52-54.606.
ZHAO L J, TIAN Z. Application of co-simulation in noise and vibration analysis of shearer [J]. Advanced Materials Research, 2012, 619: 172–175. DOI: https://doi.org/10.4028/www.scientific.net/AMR.619.172.
TONG H L, LIU Z H, YIN L, JIN Q. The dynamic finite element analysis of shearer’s running gear based on LS-DYNA [J]. Advanced Materials Research, 2011, 402: 753–757. DOI: https://doi.org/10.4028/www.scientific.net/AMR.402.753.
CAMARGO H E, AZMAN A S, ALCORN L. Development of noise controls for longwall shearer cutting drums [J]. Noise Control Engineering Journal, 2016, 64(5): 573–585. DOI: https://doi.org/10.3397/1/376402.
UZUN B, CIVALEK Ö. Nonlocal FEM formulation for vibration analysis of nanowires on elastic matrix with different materials [J]. Mathematical and Computational Applications, 2019, 24(2): 38. DOI: https://doi.org/10.3390/mca24020038.
JALAEI M, CIVALEK Ö. On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam [J]. International Journal of Engineering Science, 2019, 143: 14–32. DOI: https://doi.org/10.1016/j.ijengsci.2019.06.013.
Funding
Projects(51975511, U1708254) supported by the National Natural Science Foundation of China; Project(N2003023) supported by the Fundamental Research Funds for the Central Universities of China; Project(2019YFB2004400) supported by the National Key Research and Development Program of China; Project(2020-MS-092) supported by the Natural Science Foundation of Liaoning Province, China
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YAO Guo provided the research background of the paper and edited the draft of manuscript. ZHANG Xiao-li conducted the literature review and wrote the first draft of the manuscript. ZHANG Yi-min provided the experiment conditions.
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ZHANG Xiao-li, YAO Guo, and ZHANG Yi-min declare that they have no conflict of interest.
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Zhang, Xl., Yao, G. & Zhang, Ym. Nonlinear multi body dynamic modeling and vibration analysis of a double drum coal shearer. J. Cent. South Univ. 28, 2120–2130 (2021). https://doi.org/10.1007/s11771-021-4757-z
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DOI: https://doi.org/10.1007/s11771-021-4757-z