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基于斐波那契数列的螺旋滚筒端盘截齿排列理论方法

刘春生 王磊 申子祥 郝鑫

黑龙江科技大学学报2025,Vol.35Issue(1):70-77,8.
黑龙江科技大学学报2025,Vol.35Issue(1):70-77,8.DOI:10.3969/j.issn.2095-7262.2025.01.011

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

刘春生 1王磊 2申子祥 3郝鑫2

作者信息

  • 1. 黑龙江科技大学 机械工程学院,哈尔滨 150022||黑龙江科技大学 安全工程学院,哈尔滨 150022
  • 2. 黑龙江科技大学 安全工程学院,哈尔滨 150022
  • 3. 黑龙江科技大学 机械工程学院,哈尔滨 150022
  • 折叠

摘要

Abstract

This paper proposes a theoretical algorithm of the law and parameters behind the picks se-quential arrangement of non-uniform truncation distance and circumferential distance by utilizing the char-acteristic 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 in-dex,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 com-pared 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 is1.6 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

Key words

shearer spiral drum/Fibonacci sequence/sequential arrangement of picks/cut spacing and circumferential spacing

分类

矿山工程

引用本文复制引用

刘春生,王磊,申子祥,郝鑫..基于斐波那契数列的螺旋滚筒端盘截齿排列理论方法[J].黑龙江科技大学学报,2025,35(1):70-77,8.

基金项目

国家自然科学基金项目(51274091) (51274091)

黑龙江省首批"揭榜挂帅"科技攻关项目(2021ZXJ02A01) (2021ZXJ02A01)

黑龙江科技大学学报

2095-7262

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