基于斐波那契数列的螺旋滚筒端盘截齿排列理论方法  

Theoretical method of picks arrangement on end plate of shearer spiral drum based on Fibonacci sequence

作　　者：刘春生 王磊 申子祥 郝鑫 Liu Chunsheng;Wang Lei;Shen Zixiang;Hao Xin(School of Mechanical Engineering,Heilongjiang University of Science&Technology,Harbin 150022,China;School of Safety Engineering,Heilongjiang University of Science&Technology,Harbin 150022,China)

机构地区：[1]黑龙江科技大学机械工程学院,哈尔滨150022 [2]黑龙江科技大学安全工程学院,哈尔滨150022

出　　处：《黑龙江科技大学学报》2025年第1期70-77,共8页Journal of Heilongjiang University of Science And Technology

基　　金：国家自然科学基金项目(51274091);黑龙江省首批“揭榜挂帅”科技攻关项目(2021ZXJ02A01)。

摘　　要：截齿排列方式影响螺旋滚筒截割煤岩性能,尤其端盘上的截齿排列相对复杂,其理论设计方法不够完善。利用斐波那契数列特征规律,提出一种非均匀截线距和圆周距截齿排列规律与参数的理论算法,给出了截槽对称指数、截齿综合密度的递增率和截割比能耗定量评价方法,应用有限元模拟了截割煤岩三向载荷谱。结果表明:基于斐波那契数列的排列规则,截齿排列的截线距与周向距等效匹配,形成周期性反序顺序截割煤岩,与常规式截齿排列相比,截槽对称指数提高了23%~40%,相邻截线截齿密度递增率均为1.6,截割比能耗降低了4%~8%;数列式截齿排列螺旋滚筒的轴向载荷均值明显减小,是常规式端盘截齿排列的29%,两种端盘截齿排列的垂直和水平截割载荷均值和峰值均值基本一致。This paper proposes a theoretical algorithm of the law and parameters behind the picks sequential arrangement of non-uniform truncation distance and circumferential distance by utilizing the characteristic law of Fibonacci series to address the relatively complicated picks arrangement on the end plate and imperfect theoretical design,which affects the performance of the spiral drum in cutting coal and rock.The study involves defining a quantitative evaluation method of the truncation groove symmetry index,the incremental rate of the picks density and the specific energy consumption,and simulating the three-direction loading spectrum of coal-rock cutting by using the finite element.The results show that based on Fibonacci series arrangement,cut spacing and circumferential spacing of the picks arrangement match equivalently,which forms a periodic reverse-sequence sequential truncation of coal rock,and compared with the conventional picks arrangement,the symmetry index of the truncation groove increases by 23%-40%,the increment rate of truncation density of adjacent truncated lines is 1.6 evenly,and the cutting ratio energy consumption is reduced by 4%-8%.The mean value of axial load of the spiral drum of sequential arrangement of picks is significantly reduced,which is 29%of the conventional end-disk picks,and the mean and peak values of vertical and horizontal truncated loads of the two end-disk picks arrangements are same basically.

关 键 词：采煤机螺旋滚筒 斐波那契数列 截齿数列式排列 截线距与周向距 

分 类 号：TD421[矿业工程—矿山机电]