SPH法数值仿真三维切削破岩和切削力估算

摘要/Abstract

摘要： 摘要：以MohrCoulomb模型描述岩石，在LSDYNA中用SPH(Smootheed Particle Hydrodynamics)法模拟三维刀齿切削破岩，探讨切削参数和岩石性质对切削力的影响.基于切削力随各切削参数和岩石性质的变化规律，建立切削力估算公式.用所得公式计算切削力，并与实验值进行比较.仿真结果表明：切削厚度、切削前角、切削宽度、岩石的内聚力和内摩擦角对切削力影响显著，切削速度在较低范围内变化时对切削力影响非常小.三维切削仿真能够较好地反映刀齿两侧岩石颗粒对切削的影响，比二维理论模型更接近实际.所得切削力估算公式能准确计算仿真中的平均切向力，且其计算值能与实验吻合较好.验证了基于SPH法的数值仿真用于研究刀齿切削破岩的可靠性.

关键词: SPH法, 刀齿切削破岩, 数值仿真, 切削力, 切削参数

Abstract: Abstract： The effects of cutting parameters and rock properties on cutting forces were studied through 3D simulation of rock cutting in the LSDYNA with the MohrCoulomb model as rock material model and the SPH method. A formula to estimate cutting forces was created based on the relationships between cutting forces and cutting parameters, as well as rock properties drawn from the simulation results. The calculating results of the proposed formula were compared with the experiments. The simulation results show that cutting depth, rake angle, cutting width, cohesion and internal friction angle of rock have significant effects on cutting forces and that the variation of cutting speed have a small effect when the speed is slow. The interaction between the cutter tooth and rock particles beside it was taken into consideration in the 3D simulation of rock cutting. It made the simulation agree better with the experiments than the 2D cutting model. The formula created in this paper can estimate the tangential cutting forces of the simulation with less errors and its calculating results agree well with the experimental results. The SPH method is proved to be a reliable method in rock cutting with cutter tooth.

Key words: smoothed particle hydrodynamics(SPH) method, rock cutting, numerical simulation, cutting force, cutting parameter

中图分类号:

U 616
TU 45

欧阳义平，杨启. SPH法数值仿真三维切削破岩和切削力估算[J]. 上海交通大学学报（自然版）, 2016, 50(01): 84-90.

OUYANG Yiping,YANG Qi. Numerical Simulation of Rock Cutting in 3D with SPH Method and Estimation of Cutting Force[J]. Journal of Shanghai Jiaotong University, 2016, 50(01): 84-90.

参考文献

［1］LOUI J P,KARANAM U M R. Numerical studies on chip formation in dragpick cutting of rocks ［J］. Geotechnical and Geological Engineering, 2012, 30(1): 145161. ［2］MENEZES P L, LOVELL M R, AVDEEV I V, et al. Studies on the formation of discontinuous rock fragments during cutting operaion ［J］. International Journal of Rock Mechanics and Mining Sciences, 2014, 71: 131142. ［3］YU B. Numerical simulation of continuous miner rock cutting process ［D］. Morgantown, West Virginia: College of Engineering and Mineral Resources, 2005. ［4］夏毅敏, 薛静,周喜温. 软岩切削过程的三维数值模拟［J］. 长安大学学报(自然科学版), 2010, 30(4): 102106. XIA Yimin, XUE Jing, ZHOU Xiwen. 3D dimensional numerical simulation of soft rock cutting process ［J］. Journal of Chang’an University(Natural Science Edition), 2010,30(4):102106. ［5］ROJEK J, OATE E, LABRA C, et al. Discrete element simulation of rock cutting ［J］. International Journal of Rock Mechanics and Mining Sciences, 2011, 48(6): 9961010. ［6］SU O,AKCIN N A. Numerical simulation of rock cutting using the discrete element method ［J］. International Journal of Rock Mechanics and Mining Sciences, 2011, 48(3): 434442. ［7］WYK G V, ELS D N J, AKDOGAN G, et al. Discrete element simulation of tribological interactions in rock cutting ［J］. International Journal of Rock Mechanics and Mining Sciences, 2014, 65: 819. ［8］柯长仁, 蒋俊玲,葛修润. 基于虚内键模型的非均质岩石破坏数值模拟［J］. 上海交通大学学报, 2012, 46(1): 142145. KE Changren, JIANG Junling, GE Xiurun. Numerical simulation of heterogeneous rock dynamic fracture based on virtual internal bond model ［J］. Journal of Shanghai Jiaotong University, 2012, 46(1): 142145.［9］MA G W, WANG X J,REN F. Numerical simulation of compressive failure of heterogeneous rocklike materials using SPH method ［J］. International Journal of Rock Mechanics and Mining Sciences, 2011, 48(3): 353363. ［10］DEB D,PRAMANIK R. Failure process of brittle rock using smoothed particle hydrodynamics ［J］. Journal of Engineering Mechanics, 2013, 139(11): 15511565. ［11］KOMORCZI A, ABE S,URAI J L. Meshless numerical modeling of brittleviscous deformation: first results on boudinage and hydrofracturing using a coupling of discrete element method (DEM) and smoothed particle hydrodynamics (SPH) ［J］. Computational Geosciences, 2013, 17(2): 373390. ［12］FAKHIMI A,LANARI M. DEMSPH simulation of rock blasting ［J］. Computers and Geotechnics, 2014, 55(1): 158164. ［13］ZHAO L J, ZHOU Z H, GUAN Q Z, et al. Application of SPH in numerical simulation of roadheader hard rock cutting ［C］∥ Advanced Materials Research. Huludao, China: Trans Tech Publ, 2013: 203206. ［14］TANG X W, ZHOU Y D,LIU Y L. Factors influencing quasistatic modeling of deformation and failure in rocklike solids by the smoothed particle hydrodynamics method ［J］. Mathematical Problems in Engineering, 2013, 2013(1): 113. ［15］MONAGHAN J J,GINGOLD R A. Shock simulation by the particle method SPH ［J］. Journal of Computational Physics, 1983, 52(2): 374389. ［16］HOLMQUIST G R. LSDYNA keyword user’s manual volume II material models ［EB/OL］. (20130808)［20140719］.http://www.dynamore.de/en/downloads/manuals. ［17］HOLMQUIST G R. LSDYNA theory manual ［EB/OL］.(20060301) ［20140719］. http://www.dynamore.de/en/downloads/manuals. ［18］ALLINGTON A V. The machining of rock materials ［D］. Newcastle upon Tyne: Newcastle University School of Civil Engineering and Geosciences, 1969. ［19］NISHIMATSU Y. The mechanics of rock cutting ［J］. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1972, 9(2): 261270. ［20］BILGIN N. Investigations into the mechanical cutting characteristics of some medium and high strength rocks ［D］. Newcastle upon Tyne: Newcastle University School of Civil Engineering and Geosciences, 1977.第50卷第1期2016年1月上海交通大学学报JOURNAL OF SHANGHAI JIAO TONG UNIVERSITYVol.50 No.1Jan. 2016

[1]	李嘉, 李华聪, 王玥. 变汽液比条件下高速燃油离心泵非定常特性分析研究[J]. 上海交通大学学报, 2022, 56(5): 622-634.
[2]	周宇, 赵勇, 于忠奇, 赵亦希. 交叉内筋薄壁筒体错距旋压成形数值仿真[J]. 上海交通大学学报, 2022, 56(1): 62-69.
[3]	杨世平, 董梦瑜, 李飞. 一种双悬臂梁柔性销轴的微动疲劳研究[J]. 上海交通大学学报, 2021, 55(3): 236-248.
[4]	欧阳义平a,b,c，杨启a,b,c,d，马健a,b,c，邱一平c. 切削前角对刀齿线性切削岩石的影响[J]. 上海交通大学学报（自然版）, 2018, 52(11): 1422-1428.
[5]	李贵龙，杜世昌. 发动机缸体多工序加工变形误差传递的建模与分析[J]. 上海交通大学学报（自然版）, 2017, 51(4): 385-.
[6]	胡永利, 尹汉军, 王盛炜, 姚宝恒, 连琏. 一种新型水下升降装置着底碰撞动力响应分析[J]. 上海交通大学学报, 2016, 50(03): 456-459.
[7]	欧阳义平, 杨启. 圆锥齿切削破岩的切削力估算[J]. 上海交通大学学报, 2016, 50(01): 35-40.
[8]	柴象海1,2，张晓云3，史同承1,2. 超塑成形/扩散连接焊缝失效断裂仿真方法[J]. 上海交通大学学报（自然版）, 2014, 48(04): 532-537.
[9]	高晶1，刘克素2，于忠奇1，林忠钦1. 双相钢板成形界面压力数值仿真及对板料表面损伤影响[J]. 上海交通大学学报（自然版）, 2013, 47(05): 770-774.
[10]	王飞, 黄国樑. 导流缆拖曳系统准动态运动建模及仿真 [J]. 上海交通大学学报（自然版）, 2012, 46(10): 1658-1664.
[11]	朱信尧1, 宋保维1, 单志雄2, 王鹏1. 海底定点停驻无人水下航行器流体动力特性分析[J]. 上海交通大学学报（自然版）, 2012, 46(04): 573-578.
[12]	王建炜, 金先龙, 曹露芬, 张伟伟. 列车载荷下隧道联络通道动态响应的并行计算[J]. 上海交通大学学报（自然版）, 2012, 46(04): 591-595.
[13]	王飞1, 马建文2, 黄国樑1. 弯扭联合作用下的拖缆运动建模与分析[J]. 上海交通大学学报（自然版）, 2012, 46(03): 451-457.
[14]	许黎明1,2，李荣洲1，许开州1，柴运东1，胡德金1. 高硬度涂层磨削温度场的数值仿真和实验研究[J]. 上海交通大学学报（自然版）, 2011, 45(11): 1705-1709.
[15]	赵利华，张开林. 构架侧梁焊接反变形量的优化分析[J]. 上海交通大学学报（自然版）, 2011, 45(11): 1700-1704.