镐型截齿截割阻力序列的混沌分形维数与能耗

Chaotic fractal dimension and energy consumption of cutting resistance sequence in shearer

为更好地评价截齿截割性能,根据镐型截齿截割阻力实验曲线,利用功率谱法定性地分析截割状态的混沌特征,给出了截割阻力序列混沌分形维数与能耗和盒维数码尺的关系,应用MATLAB定量求出两种安装角度截齿截割阻力时间序列的盒维数。结果表明,45°安装角截齿的截割阻力盒维数及能耗大于40°安装角。建立的截割阻力维数、能耗模型,为滚筒式采煤机的截割理论研究和设计提供了新的方法和途径。

Aimed at a better evaluation of the performance of pick cutting, this paper, based on the experimental curve from the pick-shaped cutting resistance, introduces the application of the method of power spectrum to an qualitatively analysis of the chaotic characteristics, as when the shear is in the state of cutting, presents the relationship between chaos fractal dimension calculated from the sequence of cutting resistance and energy consumption and the yardstick of box dimension and introduces the use of MATLAB to the quantitative calculation of the box dimensions of the cutting resistance＇ s time-series corresponding with the two different installation angles of the cutting picks. The result shows that the cutting picks installed at 45-degree angle give the box dimension and the energy consumption bigger than those done at angle of 40-degree. The box dimensions and the model of energy consumption, as described in the paper provide a new method for the theoretical research and design of drum shearers.