Stability and combined vibration of gear transmission system in shearer cutting section under multi-parameter excitation
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Stability and combined vibration of gear transmission system in shearer cutting section under multi-parameter excitation Lianchao Sheng1
· Wei Li2 · Guo Ye1 · Song Jiang2 · Yueqi Li1
Received: 29 June 2020 / Revised: 23 August 2020 / Accepted: 12 September 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The torsional vibration of the gear device in the shearer permanent magnet semi-direct drive cutting transmission system is easily induced by the end load impact and the internal and external parameter excitation. To solve this problem, taking into account the time-varying meshing stiffness, meshing damping, backlash and dynamic transmission error, the nonlinear torsional dynamic model of the gear system is established by the concentrated mass method. The approximate analytical solution and the stability boundary curve of the gear device in the permanent magnet semi-direct drive cutting drive system of the shearer are obtained under multi-parameter excitation. The system stability parameter threshold is determined. The frequency response equation of steady-state vibration is constructed. The corresponding frequency response curve is drawn, and the combined resonance state of the gear pair under the coupling of internal excitation and external excitation is studied. The effects of static excitation, dynamic excitation, internal excitation and external excitation on the resonance response of the shearer cutting drive system are analyzed to provide guidance for the optimal design of shearer permanent magnet semi-direct drive cutting gear drive system. Keywords Shearer · Gear transmission system · Nonlinear dynamics · Combined resonance · Steady-state response
1 Introduction During the work of the shearer, the uneven strength of the coal seam, the brittle collapse of the coal rock body, and the hard inclusions and rock interlayer acting on the drum have the characteristics of randomness, large fluctuations and strong impact [1, 2]. The gear transmission system is an important power and motion transmission device of the cutting section in the shearer [3]. When it is subjected to external shocks, its dynamic performance directly affects the cutting operation of the shearer. Compared with other mechanical systems, gear transmission system is a parametric vibration system, and has the typical characteristics of unique internal dynamic excitation. Therefore, the research on the stability of the gear transmission system and the key factors that affect the stability is an important measure to ensure the stable operation
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Lianchao Sheng [email protected]
1
School of Mechatronic Engineering, Jiangsu Normal University, Xuzhou 221116, China
2
School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China
of the gear transmission system, and also has important significance for ensuring the normal operation of the shearer. As an indispensable power transmission system, the gear transmission system has been widely used in aerospace, transportation and othe
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