Analysis of Fatigue Reliability of Cutter Saddle Weld for TBM
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摘要: 刀座焊接处是全断面岩石隧道掘进机(Full face rock tunnel boring machine,TBM)刀盘上最易发生疲劳破坏的部分。基于线弹性断裂力学,以裂纹疲劳寿命为基本变量,建立裂纹扩展可靠性模型,通过JC法计算刀座正面焊缝在不同滚刀实验载荷下的疲劳可靠性,并分析了不同因素对失效概率的影响。结果显示:中心滚刀刀座焊缝的失效概率比正滚刀小,正滚刀的失效概率随着安装半径的增大而减小;刀座焊缝失效概率随着初始裂纹深度的增大而显著增大,而临界裂纹深度的变化对失效概率的影响不大;裂纹形状比越大,刀座焊缝的失效概率越小。Abstract: Cutter saddle welding is the part in TBM (Full face rock tunnel boring machine) cutterhead where fatigue damage most likely occurred. A model for cracks extension reliability based on the linear elastic fracture mechanics was built with crack fatigue life as basic variable, and JC method was used to calculate the fatigue reliability of cutter saddle weld under different cutter loads obtained experimentally and analyze the influence of the different factors on the failure probability. The results show that the failure probability of center cutter saddle weld is smaller than that of normal cutter, and the failure probability of normal cutter decreases with increasing of installation radius; the failure probability of cutter saddle weld increases dramatically with the increasing of initial crack depth, but the change of critical crack depth has slight effect on the failure probability; the larger the crack shape ratio is, the smaller the failure probability of cutter saddle weld is.
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表 1 滚刀载荷信息
载荷编号 L1 L2 L3 L4 L5 滚刀类型 中心滚刀 正滚刀 正滚刀 正滚刀 正滚刀 安装半径/mm 840 1109 1380 1550 1586 表 2 变量取值
基本变量 分布形式 均值 变异系数 ${a_0}$ 对数正态 2 mm 1 ${a_f}$ 对数正态 160 mm 0.05 $C$ 对数正态 2×10−13 0.25 $B$ 对数正态 0.7 0.5 ${B_Y}$ 对数正态 0.8 0.15 $m$ 常数 3 $q$ 常数 1.276 ${T_d}$ 常数 500000 表 3 不同载荷下刀座焊缝失效概率
载荷编号 失效概率 L1 1.2071×10−3 L2 2.034×10−3 L3 1.4327×10−3 L4 9.1868×10−4 L5 7.146×10−4 -
[1] 孙伟, 朱晔, 凌静秀, 等. 基于裂纹失效区域的分体式刀盘可靠性计算[J]. 东北大学学报, 2016, 37(8): 1144-1148Sun W, Zhu Y, Ling J X, et al. Split cutter head reliability calculation based on crack failure regions[J]. Journal of Northeastern University , 2016, 37(8): 1144-1148 (in Chinese) [2] 李舜酩. 机械疲劳与可靠性设计[M]. 北京: 科学出版社, 2006Li S M. Mechanical fatigue and reliability design[M]. Beijing: Science Press, 2006 (in Chinese) [3] 高镇同, 熊峻江. 疲劳可靠性[M]. 北京: 北京航空航天大学出版社, 2000Gao Z T, Xiong J J. Fatigue reliability[M]. Beijing: Beihang University Press, 2000 (in Chinese) [4] Geng Q, Wei Z Y, Hao M. An experimental research on the rock cutting process of the gage cutters for rock Tunnel Boring Machine (TBM)[J]. Tunnelling and Underground Space Technology, 2016, 52: 182-191 doi: 10.1016/j.tust.2015.12.008 [5] Zhang S L, Zhang J F, Guo Z, et al. Welding residual stress characteristics of bolt-welding joint in TBM split Cutterhead[C]//Proceedings of the 2019 International Conference on Electronical, Mechanical and Materials Engineering (ICE2ME 2019). Wuhan: Atlantis Press, 2019: 110-113 [6] Heng J L, Zheng K F, Kaewunruen S, et al. Dynamic Bayesian network-based system-level evaluation on fatigue reliability of orthotropic steel decks[J]. Engineering Failure Analysis, 2019, 105: 1212-1228 doi: 10.1016/j.engfailanal.2019.06.092 [7] Kececioglu D. Fatigue prevention and reliability[C]//Proceedings of the American Society of Mechanical Engineers. 1978: 285-309 [8] 杨晓华, 姚卫星, 段成美. 确定性疲劳累积损伤理论 进展[J]. 中国工程科学, 2003, 5(4): 80-87Yang X H, Yao W X, Duan C M. The review of ascertainable fatigue cumulative damage rule[J]. Engineering Science, 2003, 5(4): 80-87 (in Chinese) [9] 吕海波, 姚卫星. 结构元件疲劳断裂可靠性估算方法[J]. 力学进展, 2000, 30(4): 538-545 doi: 10.6052/1000-0992-2000-4-J1998-043Lü H B, Yao W X. A review of the evaluation methods of fatigue fracture reliability of structural elements[J]. Advances in Mechanics, 2000, 30(4): 538-545 (in Chinese) doi: 10.6052/1000-0992-2000-4-J1998-043 [10] Han L, Huang D W, Yan X J, et al. Combined high and low cycle fatigue life prediction model based on damage mechanics and its application in determining the aluminized location of turbine blade[J]. International Journal of Fatigue, 2019, 127: 120-130 doi: 10.1016/j.ijfatigue.2019.05.022 [11] 王文涛, 上官文斌, 段小成, 等. 基于线性疲劳累计损伤橡胶悬置疲劳寿命预测研究[J]. 机械工程学报, 2012, 48(10): 56-65 doi: 10.3901/JME.2012.10.056Wang W T, Shangguan W B, Duan X C, et al. Study on prediction of fatigue life of rubber mount based on linear cumulative fatigue damage theory[J]. Journal of Mechanical Engineering, 2012, 48(10): 56-65 (in Chinese) doi: 10.3901/JME.2012.10.056 [12] 林茂松, 程文明, 王少华, 等. 焊接构件疲劳可靠度的计算[J]. 起重运输机械, 2000,(3): 17-19, 10 doi: 10.3969/j.issn.1001-0785.2000.03.005Lin M S, Cheng W M, Wang S H, et al. Calculation of fatigue reliability of welded component[J]. Hoisting and Conveying Machinery, 2000,(3): 17-19, 10 (in Chinese) doi: 10.3969/j.issn.1001-0785.2000.03.005 [13] Ling J J, Sun W, Huo J Z, et al. Study of TBM cutterhead fatigue crack propagation life based on multi-degree of freedom coupling system dynamics[J]. Computers & Industrial Engineering, 2015, 83: 1-14 [14] 欧阳湘宇. 多点冲击下TBM刀盘裂纹萌生-扩展全寿命预测[D]. 辽宁大连: 大连理工大学, 2015Ouyang X Y. Crack initiation-propagation whole fatigue lifetime prediction of TBM cutterhead under multi-impact loads[D]. Liaoning Dalian: Dalian University of Technology, 2015 (in Chinese) [15] Huo J Z, Zhu D, Hou N, et al. Application of a small-timescale fatigue, crack-growth model to the plane stress/strain transition in predicting the lifetime of a tunnel-boring-machine cutter head[J]. Engineering Failure Analysis, 2016, 71: 11-30 [16] Sun W, Ling J X, Huo J Z, et al. Study of TBM cutterhead fatigue damage mechanisms based on a segmented comprehensive failure criterion[J]. Engineering Failure Analysis, 2015, 58: 64-82 doi: 10.1016/j.engfailanal.2015.08.041 [17] 刘建琴, 贾玄彬, 郭伟, 等. 基于裂纹萌生的TBM刀盘地质匹配及失效研究[J]. 天津大学学报, 2017, 50(11): 1148-1153Liu J Q, Jia X B, Guo W, et al. Research on TBM cutter-head geological matching and failure based on crack initiation[J]. Journal of Tianjin University , 2017, 50(11): 1148-1153 (in Chinese) [18] 郑伟, 万科含, 崔健, 等. 基于蒙特卡罗方法盾构刀盘的结构可靠性分析[J]. 科技创新导报, 2013,(2): 20-22 doi: 10.3969/j.issn.1674-098X.2013.02.010Zheng W, Wan K H, Cui J, et al. Structural reliability analysis of shield cutterhead based on the monte carlo method[J]. Science and Technology Innovation Herald, 2013,(2): 20-22 (in Chinese) doi: 10.3969/j.issn.1674-098X.2013.02.010 [19] Han M D, Cai Z X, Qu C Y, et al. Dynamic numerical simulation of cutterhead loads in TBM tunnelling[J]. Tunnelling and Underground Space Technology, 2017, 70: 286-298 doi: 10.1016/j.tust.2017.08.028 [20] 蒋立君. 面向可靠性和振动特性的TBM主轴承结构设计[D]. 辽宁大连: 大连理工大学, 2013Jiang L J. Structure design for main bearing of full face rock tunnel boring machine oriented to reliability and vibration behavior[D]. Liaoning Dalian: Dalian University of Technology, 2013 (in Chinese) [21] 王偏. 土压平衡盾构主轴承疲劳可靠性预测方法研究[D]. 辽宁大连: 大连理工大学, 2012Wang P. Research on fatigue reliability prediction methods for main drive bearing of EPB[D]. Dalian: Dalian University of Technology, 2012 (in Chinese) [22] 刘杰, 卿启湘, 文桂林, 等. 考虑载荷流泄时盾构机T形焊接结构疲劳可靠性分析[J]. 固体力学学报, 2014, 35(2): 182-188Liu J, Qing Q X, Wen G L, et al. Fatigue reliability study on T-welded component of shield machine considering load shedding[J]. Chinese Journal of Solid Mechanics, 2014, 35(2): 182-188 (in Chinese) [23] 胡毓仁, 李典庆, 陈伯真. 船舶与海洋工程结构疲劳可靠性分析[M]. 哈尔滨: 哈尔滨工程大学出版社, 2010Hu Y R, Li D Q, Chen B Z. Fatigue reliability analysis of the ship and ocean engineering structures[M]. Harbin: Harbin Engineering University Press, 2010 (in Chinese) [24] Rackwitz R, Flessler B. Structural reliability under combined random load sequences[J]. Computers & Structures, 1978, 9(5): 489-494 [25] 张明, 金峰. 结构可靠度计算[M]. 北京: 科学出版社, 2015Zhang M, Jin F. Structural reliability computations[M]. Beijing: Science Press, 2015 (in Chinese) [26] 刘燕竹, 蔡海兵, 徐刘逊, 等. 深厚冲积层冻结井筒外层井壁结构可靠性分析[J]. 煤矿安全, 2019, 50(3): 226-230, 234Liu Y Z, Cai H B, Xu L X, et al. Reliability analysis on outer shaft lining structure of freezing shaft in deep alluvium[J]. Safety in Coal Mines, 2019, 50(3): 226-230, 234 (in Chinese) [27] 张亮, 赵娜. 用MATLAB实现JC法计算结构可靠度程序[J]. 电脑知识与技术, 2009, 5(29): 8181-8182, 8185Zhang L, Zhao N. Design of the calculation program of structural reliability index based on JC method using MATLAB[J]. Computer Knowledge and Technology, 2009, 5(29): 8181-8182, 8185 (in Chinese) [28] 衣振华. 疲劳裂纹扩展研究及在装载机横梁寿命估算中的应用[D]. 济南: 山东大学, 2011Yi Z H. Research of fatigue crack propagation and its applications in loader beam life[D]. Jinan: Shandong University, 2011 (in Chinese)