Nonlinear dynamic characteristics analysis and chaos control of a gear transmission system in a shearer under temperature effects

Abstract

Due to changes in the working temperature in a shearer transmission system, it is easy to cause the transmission gear to work abnormally. In this paper, the first gear pair in a cutting transmission system of a permanent magnet semi-direct drive shearer was taken as the research object. The coupling effect of time-varying meshing stiffness, meshing damping, bearing clearance and gear backlash under thermal deformation were fully considered. Then, a three degree of freedom nonlinear dynamic model of the gear pair was established, and a dimensionless analysis was performed. Finally, the Runge-Kutta method was used in the numerical calculations. The motion characteristics of the system were analysed through the gear’s bifurcation diagram of the temperature at different frequencies and the bifurcation diagram of the frequency at different temperatures. The meshing state was analysed at different frequencies and temperatures. For the chaotic motion generated in the system, a periodic resonance excitation was applied to control unstable motion. This study has revealed various specific effects of the temperature on the dynamic characteristics of the system. In addition, the periodic excitation method can effectively control the nonlinear motion in the system and realise the control of the chaos under the temperature effect.

Bifurcation and Chaos Analysis of Gear System With Clearance Under Different Load Conditions

“…Srikanth et al [12] developed a dynamic model based on wind turbine drive train considering bearing stiffness and torsional shaft stiffness, and solved the coupled dynamic model to obtain the time and frequency domain response of the drive train. Chen Sheng et al [13,14] developed a gear dynamics model for the coal mining machine drive system and analyzed the effect of temperature as well as other nonlinear parameters on the stability of the system, respectively. Yang et al [15] analyzed the effect of different trim parameters on the dynamic characteristics of the system for cycloidal cam gears.…”

Analysis on vertical–pitch coupled dynamics characteristics of shearer with corrected load

“…Jiang 4 , 5 established the electro-mechanical coupling torsional dynamics model for the transmission system of cutting part of the shearer, analyzed the influence of internal control parameters and drum load on the torsional vibration characteristics of the system and obtained the control method of the system in the case of large vibration amplitude and unstable oscillation. Chen 6 , 7 established a non-linear dynamics model for the traveling part transmission system of the shearer, obtained the load characteristics of the gears of transmission system and analyzed the dynamic reliability of the gears under different working parameters using fatigue damage theory; the dynamics model of the transmission system of cutting unit was established and the dynamic characteristics of the system under different working temperatures were analyzed. Our previous study 8 comprehensively considered the connection characteristics of key parts of the shearer, established a traction-swing coupling dynamics model of the shearer, analyzed the dynamic characteristics of those key parts under different working conditions and verified the model and corresponding results by experiment.…”

Analysis on Vertical-pitch Coupled Dynamics Characteristics of Shearer with Corrected Load

“…Chen J. [6][7] established a non-linear dynamics model for the traveling part transmission system of the shearer, obtained the load characteristics of the gears of transmission system and analyzed the dynamic reliability of the gears under different working parameters using fatigue damage theory; the dynamics model of the transmission system of cutting unit was established and the dynamic characteristics of the system under different working temperatures were analyzed. Our previous study [8] comprehensively considered the connection characteristics of key parts of the shearer, established a traction-swing coupling dynamics model of the shearer, analyzed the dynamic characteristics of those key parts under different working conditions and verified the model and corresponding results by experiment.…”