基于有限元数值方法的钻杆天线磁芯槽优化研究.pdf

6文章编号：10 0 1-49 34(2 0 2 3)0 5-0 0 0 6-14Die and Mould Technology No.5 2023基于有限元数值方法的钻杆天线磁芯槽优化研究秦才会，李国玉，季新标1，江（1中海油田服务股份有限公司，河北2国防科技大学空天科学学院，湖南帆，郭宇？三河065201;长沙410073)摘要：针对某型石油钻杆天线磁芯槽优化设计问题，依据工程实际提出了磁芯槽的优化原则，通过有限元数字仿真结果，对某型钻杆天线磁芯槽在槽的结构尺寸和槽的数量等参数进行了优化，获取了该型钻杆天线磁芯槽的最佳结构尺寸和天线磁芯槽数量。所得方法与结论可为磁芯槽的数值仿真，以及钻杆磁芯槽结构与数量优化设计提供理论与技术参考。关键词：钻杆；有限元数值方法；天线磁芯槽；优化设计中图分类号：TH212;TH213.3文献标识码：ASimulation Calculation and Optimal Study on the Antenna Core Slot in the Drill PipenQin Caihui,Li Guoyu,Ji Xingbiao,Jiang Fan,Guo Yu?(1.China Oilfield Services Limited,HebeiSanhe,065201;2.College of Aerospace Science and Engineering,National Universityof Defense Technology,Changsha 410073,China)Abstract:In order to solve the optimal design problem of antenna core slot in the drill pipe thework of optimizations for number of the antenna core slot based optimal basic dimensions ofthe slot is done by finite element analysis,and the results of basic dimensions and number ofthe slot are obtained.This method and conclusion could provide theoretical and technicalreference for solving the optimization problem of antenna core slot in drill pipe.Key words:drill pipe;finite element numerical method;antenna core slot,optimal design题，由于天线磁芯槽的结构复杂，所承受载荷工0 引 言石油钻杆天线磁芯槽在结构上主要有45槽与轴向槽（又称 9 0 槽），这两种槽均存在深度、宽度和长度尺寸，以及槽数量的结构优化问收稿日期：2 0 2 3-0 3-31基金项目：随钻地层测压及电阻率探边仪器系列化扩充(编号：CNOOC-KJ135ZDXM20ZHYF2020-1)。作者简介：秦才会，硕士，高级工程师，主要从事测井仪器研发与推广方面的研究。况具有多样性，使采用试验的方法优化天线磁芯槽的结构变得异常困难，主要是存在物理样机数量多和载荷工况施加困难等问题，需要花费大量的试验经费与时间。而通过数值仿真对天线磁芯槽的结构进行优化是一种便捷有效的模具技术2 0 2 3.No.5方法，不少学者及专家利用有限元分析原理1-2 对钻杆零部件进行了设计，有的分析了钻杆断裂强度3、疲劳性能4、拉钮复合载荷下的性能5,以及通过试验来研究钻杆的强度6 等。同样，国外学者采用数值方法对钻杆开展了大量研究工作，RAMOS等7 研究了钻杆在复合载荷工况（压力、扭转及外压）作用下的刚度。HISHIDA等8 结合物理样机试验和数值方法结果相结合，提出了钻杆压力预测方法。采用数值方法时，通过对钻杆结构完整性进行分析，进而对钻杆重要部位进行结构优化设计尤其重要，需要将材料力学基本理论与数字仿真技术相结合，来研究石油钻杆天线磁芯槽的结构优化问题，实际应用中，这种通过有限元数值样机仿真方法确定多种载荷工况作用下钻杆结构完整性，进而对天线磁芯槽结构进行优化的方法，不仅可以节约经费，而且显著缩短了研发周期，可为石油钻杆结构完整性评估与结构优化提供理论指导与技术支撑。1载荷工况与优化原则研究了钻杆承受典型环境下压弯扭复合载荷作用，即压力150 KN十狗腿度18/10 0 ft十扭矩7 KNm十温度17 5压强17 2 MPa的典型复合载荷工况。钻杆材料力学性能参数主要有：弹性模量1.8 2 4110 5MPa，泊松比0.2 9，密度7.7 5t/m，以及在17 5时的屈服极限8 2 0前端7MPa,抗拉强度119 0 MPa。结合工程实际应用，天线磁芯槽优化设计要同时满足三个方面要求：一是必须保证石油钻杆的安全性，因此在进行钻杆天线磁芯槽优化时，强度安全系数必须大于2.0 0,最好在弹性范围内，因此建议屈服安全系数大于2.0 0；二是在进行钻杆天线磁芯槽优化时，槽与槽之间不能存在互相干涉穿透；三是在天线磁芯槽加工方便和钻杆结构完整性较优的基础上，尺寸和槽数尽可能大。归纳起来天线磁芯槽优化原则在满足屈服安全系数大于2.0 0,以及槽与槽之间不存在互相干涉穿透的条件下，尺寸与槽数量大者为优。2天天线磁芯槽结构优化如图1所示为钻杆结构模型、数值仿真有限元模型与加载模式，钻杆直径为12 8 mm，长为438 8 mm。采用MSC.PATRAN构建钻杆数值仿真有限元模型，采用MSC.NASTRAN求解。为确保仿真计算精度，重点采用六面体单元(HEX8),在沟槽孔、多孔相交等几何结构复杂处采用楔形体单元(WEDGE6)和四面体单元(TET4),以精确建立原结构三维形状。钻杆单元划分规模足够大，共包含7 2 38 33个单元，821386个节点；通过了模型收敛性检验，即减少钻杆仿真模型2 5%的单元数，vonMises应力仿真结果相对误差小于5%，可见仿真精度较高。结构模型后端有限元模型YX-Z后端固支约束弯画载荷压力载荷扭转载荷图1钻杆结构模型、数值仿真有限元模型与载荷边界条件施加模式Fig.1 Drill pipe structure model,numerical simulation finite element model and loads/BCs conditions82.1天线磁芯槽深度尺寸优化采用固定某两个方向尺寸，另一个方向寻优的方法，即相同宽度、长度，不同深度的天线磁芯槽，宽度采用现有设计尺寸3.5mm，轴向槽长度85mm，45槽长度50 mm,深度分别选择4.4，Fringe:Default,A1:Static Subcase,Stress Tensor,von Mises,(NON-LAYERED)X一ZYDie and Mould Technology No.5 20234.8，5.2，5.6，6.0，6.4，6.8 m m 进行仿真分析，取4.4，5.6，6.8 mm三种深度结果进行讨论。2.1.1槽深度为4.4mm两种槽vonMises应力场分布当槽深度为4.4mm时，45槽、轴向槽vonMises应力云图分别如图2，3所示。2.69+022.52+022.35+022.18+022.00+021.83+021.66+0269+021.49+021.32+021.15+029.73+018.01+016.29+014.57+012.85+01default_Fringe:1.13+01Max2.69+02Nd 1258917Min 1.13+01Nd 124204图2 深度为4.4mm时45槽vonMises应力Fig.2 von Mises stress in 45 grooves at depth of 4.4 mmFringe:Default,A1:Static Subcase,Stress Tensor,vonMises,(NON-LAYERED)YZX深度为4.4mm时45槽vonMises应力最大值为2 6 9 MPa，屈服安全系数为3.0 5。轴向槽vonMises应力最大值为2 48 MPa，屈服安全系数为3.31。2.1.2槽深度为5.6 mm两种槽vonMises应力场分布槽深5.6 mm时，45槽、轴向槽vonMises应力云图分别如图4，5所示。2.48+022.32+022.16+022.01+021.85+021.69+021.53+021.37+02.48+01.21+021.05+028.92+017.33+015.74+014.15+012.56+01default_Fringe:9.71+00Max2.48+02Nd1285281Min 9.71+00 Nd 1294266图3深度为4.4mm时轴向槽vonMises应力Fig.3 von Mises stress in axial grooves at depth of 4.4 mm深度为5.6 mm时，45槽vonMises应力最大值为30 7 MPa，屈服安全系数为2.6 7;轴向槽vonMises应力最大值为2 59 MPa，屈服安全系数为3.17。2.1.3槽深度为6.8 mm两种槽vonMises应力场分布槽深为6.8 mm时，45槽、轴向槽vonMises应力云图分别如图6，7 所示。模具技术2 0 2 3.No.593.07+022.87+022.67+022.48+02Fringe:Default,Al:Static Subcase,Stress Tensor,vonMises,(NON-LAYERED)XY2.28+022.08+021.89+021.69+021.49+021.29+021.10+029.01+017.04+015.07+013.10+01default_Fringe:1.13+01Max 3.07+02 Nd 1321986Min 1.13+01 Nd 1257169图4深度为5.6 mm时45槽vonMises应力Fig.4von Mises stress in 45 grooves at depth of 5.6 mmFringe:Default,Al:Static Subcase,StressTensor,von Mises,(NON-LAYERED)ZY2.59+022.42+022.25+022.08+021.92+022.59+021.75+021.58+021.41+021.24+021.08+029.07+017.39+015.71+014.03+012.34+01default_Fringe:6.61+00Max2.59+02Nd1336770Min 6.61+00 Nd 1294255图5深度为5.6 mm时轴向槽vonMises应力Fig.5 von Mises stress in axial grooves at depth of 5.6 mm3.23+023.02+022.81+02Fringe:Default,A1:Static Subcase,Stress Tensor,vonMises,(NON-LAYERED)XZY2.60+022.39+022.18+021.97+021.76+021.55+023.23+021.34+021.13+029.18+017.07+014.97+012.87+01default_Fringe:7.68+00Max3.23+02Nd1258869Min 7.68+00 Nd 1260165图6 深度为6.8 mm时45槽vonMises应力Fig.6von Mises stress in 45 grooves at depth of 6.8 mm2.70+0210仿真计算结果表明：深度为6.8 mm时，45槽vonMises应力最大值为32 3MPa，屈服安全系数为2.54；轴向槽vonMises应力最大值为270MPa，屈服安全系数为3.0 4。深度不同时，两种槽vonMises应力及屈服安全系数如表1所示。表1深度不同时两种槽vonMises应力及屈服安全系数Tab.1 von Mises stress and yield safety coefficient of twogrooves at different depths45槽轴向槽宽度/深度/长度/长度/应力屈服安应力屈服安mmmmmmmm3.550依据表1和优化基本原则可知，当深度为6.8mm时，两种槽von Mises 应力及屈服安全系数最优。2.2天线磁芯槽宽度尺寸优化槽深度采用现有设计尺寸（5.6 mm）,轴向磁芯槽长度8 5mm，45磁芯槽长度50 mm，宽度分别选择2.3，2.7，3.1，3.5，3.9，4.3，4.7mm进行仿真分析，取2.3mm、3.5m m 和4.7mm三种深度结果进行讨论。Die and Mould Technology No.5 2023Fringe:Default,Al:Static Subcase,StressTensor,von Mises,(NON-LAYERED)XZY856.83232.542703.042.53+022.35+022.17+022.00+021.82+021.65+021.47+022.70+021.29+021.12+029.40+017.63+015.87+014.11+012.34+01default_Fringe:5.78+00Max 2.70+02Nd 1285281Min5.78+00 Nd1294265图7 深度为6.8 mm时轴向槽vonMises应力Fig.7von Mises stress in axial grooves at depth of 6.8 mm45槽/MPa全系数/MPa 全系数4.42693.052483.314.82812.922493.295.22922.812603.155.63072.672593.176.03002.732683.066.43172.592723.012.2.1宽度为2.3mm两种槽von Mises应力场分布宽度为2.3mm时，45槽、轴向槽的vonMises应力分布分别如图8，9 所示。宽度为2.3mm时，45槽vonMises应力最大值为2 9 0 MPa，屈服安全系数为2.8 3;轴向槽vonMises应力最大值为2 41MPa，屈服安全系数为3.40。2.2.2宽度为3.5mm两种槽vonMises应力场分布轴向槽宽度为3.5mm时，45槽vonMises应力、轴向槽vonMises应力分别如图10，11所示。宽度为3.5mm时45槽vonMises应力最大值为319 MPa，屈服安全系数为2.57；轴向槽vonMises应力最大值为2 6 5MPa，屈服安全系数为3.10。2.2.3宽度为4.7 mm两种槽vonMises应力场分布宽度为4.7 mm时，45槽、轴向槽的vonMises应力分布分别如图12，13所示。宽度为4.7 mm时，45槽最大vonMises应力值为348 MPa，屈服安全系数为2.36；轴向槽最大vonMises应力值为2 6 9 MPa，屈服安全系数为3.0 4。总之，宽度不同时两种槽vonMises应力与屈服安全系数如表2 所示。依据表2 和优化基本原则可知，宽度4.7 mm为优，可作为槽数优化分析的数据。模具技术2 0 2 3.No.5112.90+022.71+022.53+022.34+02Fringe:Default,A1:Static Subcase,StressTensor,vonMises,(NON-LAYERED)Y2.16+021.97+021.78+021.60+021.41+021.23+021.04+028.56+016.71+014.85+012.99+01default_Fringe:1.14+01Max2.90+02Nd135356Min 1.14+01Nd 124204图8 宽度为2.3mm时45槽vonMises应力Fig.8von Mises stress in 45 grooves at width of 2.3 mm3.19+022.98+022.78+02Fringe:Default,Al:Static Subcase,StressTensor,von Mises,(NON-LAYERED)YFringe:SC1:DEFAULT,A1:Static subcase,StressTensor,vonMises,(NON-LAYERED)XZY2.41+022.26+028.85+002.10+021.95+021.79+021.64+021.48+021.33+021.17+021.02+028.62+017.08+015.53+013.98+012.43+01default_Fringe:8.85+00Max 2.41+02 Nd 136408Min8.85+00Nd1372740图9 宽度为2.3mm时轴向槽vonMises应力Fig.9 von Mises stress in axial grooves at width of 2.3 mm图10 宽度为3.5mm时45槽vonMises应力Fig.10 von Mises stress in 45 grooves at width of 3.5 mm2.57+022.37+022.16+021.96+021.75+021.55+021.34+021.14+029.30+017.25+015.19+013.14+01default_Fringe:1.08+01Max 3.19+02 Nd 1392744Min 1.08+01 Nd 139434512Die and Mould Technology No.5 20232.65+022.48+02Fringe:SC1:DEFAULT,A1:Static subcase,StressTensor,von Mises,(NON-LAYERED)XY2.31+022.14+021.96+021.79+021.62+022.65+021.45+021.27+021.10+029.27+017.54+015.82+014.09+012.36+016.35+00default_Fringe:Max 2.65+02Nd 1410722Min6.35+00Nd 1413555图11宽度为3.5mm时轴向槽vonMises应力Fig.11von Mises stress in axial grooves at width of 3.5 mm3.48+023.25+023.03+02Fringe:SC1:DEFAULT,A1:Static subcase,StressTensor,vonMises,(NON-LAYERED)2.80+022.58+022.35+022.12+021.90+021.67+021.45+023148+021.22+029.94+017.68+015.42+013.16+018.97+00default_Fringe:Max3.48+02Nd1392826Min8.97+00Nd1395076图12 宽度为4.7 mm时45槽vonMises应力Fig.12 von Mises stress in 45 gro0ves at width of 4.7 mmFringe:SC1:DEFAULT,A1:Static subcase,StressTensor,von Mises,(NON-LAYERED)XZY2.69+022.51+022.34+022.16+021.98+021.81+021.63+021.46+021.28+021.10+022.69+029.28+017.52+015.76+014.00+012.24+014.74+00default_Fringe:Max 2.69+02 Nd 1404564Min 4.74+00 Nd 1401307图13宽度为4.7 mm时轴向槽vonMises应力Fig.13von Mises stress in axial grooves at width of 4.7 mm种槽von Mises应力模具技术2 0 2 3.No.5表2 宽度不同时两种槽vonMises应力与屈服安全系数Tab.2von Mises stress and yield safety coefficientof two grooves with different widths轴向槽45槽/mm深度长度长度/mm宽度应力屈服安应力屈服安/mm/mm5.6852.3天天线磁芯槽长度尺寸优化深度和宽度分别为6.8 mm和4.7 mm，进行长度方向的优化，天线磁芯槽长度尺寸范围见表3,其中45槽长度为6 2 mm和6 6 mm时，由于长度过长，槽之间存在互相干涉和穿透现象，这两组数据不予考虑，取45槽长42 mm十轴向槽长度7 7 mm、45槽长50 mm十轴向槽长度表3长度尺寸范围Tab.3The range of length size45槽轴向槽宽度深度长度长度/mm/mm/mm/mm4.76.8Fringe:Default,Al:Static Subcase,Stress Tensor,vonMises,(NON-LAYERED)XY1385mm,和45槽长58 mm十轴向槽长度9 3mm三种槽长尺寸组合的仿真结果进行讨论。2.3.145槽长42 mm十轴向槽长度7 7 mm两45槽轴向槽/MPa全系数/MPa全系数502.32902.832413.402.72952.782453.353.13012.722483.313.53192.572653.093.93122.632573.194.33332.462733.004.73482.362693.05干涉和穿透情况427746815085均无互相干涉和穿透现象54.895893629766101干涉和穿透现象图1445槽长42 mm+轴向槽7 7 mm时/45槽vonMises应力Fig.14 von Mises stress of 45 grooves at 45 grooves of 42 mm and axial grooves of 77 mm当45槽长为42 mm、轴向槽长度为7 7 mm时，45槽力、轴向槽vonMises应力云图分别如图 14,15 所示。45槽42 mm十轴向槽7 7 mm时，45槽最大vonMises应力值为355MPa，屈服安全系数为2.31;轴向槽最大vonMises应力值为2 8 0 MPa，屈服安全系数为2.9 3。2.3.245槽长50 mm十轴向槽8 5mm两种槽vonMises应力场分布45槽长50 mm十轴向槽8 5mm时，45槽长、轴向槽vonMises应力分别如图16，17 所示。当45槽50 mm+轴向槽8 5mm时，45槽最大vonMises应力值为39 6 MPa，屈服安全系数为2.0 7；轴向槽最大vonMises应力值为295MPa,屈服安全系数为2.7 8。2.3.345槽长58 mm十轴向槽长9 3mm两种槽von Mises 应力场分布当45槽长58 mm、轴向槽9 3mm时，45槽长和轴向槽vonMises应力分别为图18，19 所示。45槽54mm十轴向槽8 9 mm时，45槽最大均无互相干涉和穿透现象vonMises应力值为48 7 MPa,屈服安全系数为均无互相干涉和穿透现象1.68；轴向槽最大vonMises应力值为2 9 5MPa,屈服安全系数为 2.7 8。均无互相干涉和穿透现象均无互相干涉和穿透现象45槽存在槽与槽之间互相干涉和穿透现象45槽存在槽与槽之间互相槽长不同时,两种槽von Mises应力与屈服安全系数见表4所示。依据表4和优化基本原则，45槽长度50 mm十轴向槽长度8 5mm这一组数据为优，可作为槽数优化计算数据。3.55+023.32+023.09+022.86+022.63+022.39+022.16+021.93+021.70+021.47+021.24+021.01+027.74+015.43+013.11+01default_Fringe:7.97+00Max3.55+02Nd1424565Min 7.97+00 Nd 141913214XYDie and Mould Technology No.5 20232.80+022.62+025.20+00Fringe:Default,A1:Static Subcase,StressTensor,von Mises,(NON-LAYERED)Fig.15von Mises stress of axial grooves at 45 grooves of 42 mm and axial grooves of 77 mm2.43+022.25+022.07+021.88+021.70+021.52+022.80+021.33+021.15+029.68+017.85+016.02+014.19+012.35+01default_Fringe:5.20+00Max2.80+02Nd1433608Min 5.20+00 Nd 1440009图1545槽长42 mm+轴向槽7 7 mm时轴向槽vonMises应力3.96+02Fringe:Default,Al:Static Subcase,Stress Tensor,vonMises,(NON-LAYERED)XZY3.70+023.44+023.18+022.92+022.67+022.41+022.15+021.89+021.63+023.96+Q21.37+021.11+028.51+015.92+013.33+01default_Fringe:7.34+00Max 3.96+02 Nd 1396812Min 7.34+00 Nd1390462图16 45槽长50 mm+轴向槽8 5mm时45槽vonMises应力Fig.g.16 von Mises stress of 45 gro0ves at 45 grooves of 50 mm and axial gro0ves of 85 mm2.95+02Fringe:Default,Al:Static Subcase,StressTensor,von Mises,(NON-LAYERED)YFig.17von Mises stress of axial grooves at 45 grooves of 50 mm and axial grooves of 85 mm2.76+022.56+022.37+022.18+021.98+021.79+021.60+021.40+021.21+021.02+028.23+026.30+014.37+012.43+01default_Fringe:5.01+00lMax2.95+02Nd1408478Min5.01+00 Nd 1414214图17 45槽长50 mm+轴向槽8 5mm时轴向槽vonMises应力模具技术2 0 2 3.No.5Fringe:Default,Al:Static Subcase,StressTensor,von Mises,(NON-LAYERED)XY表4不同槽长时两种槽vonMises应力与屈服安全系数Tab.4von Mises stress and yield safety coefficient oftwo grooves with different groove lengths45槽轴向槽45槽宽度深度长度长度应力屈服安应力屈服安/mm/mm/mm/mm/MPa全系数/MPa全系数4.76.83天线磁芯槽数量优化根据深度优化、宽度优化、长度优化分析结果，得到合适的槽尺寸数据为宽度4.7 mm、深154.87+024.55+024.23+023.90+023.58+023.26+022.94+022.62+022.30+021.98+021.66+021.34+021.02+027.00+013.80+01default_Fringe:5.91+00Max 4.87+02Nd1458014Min 5.91+00Nd 1450588图18 45槽长58 mm+轴向槽9 3mm时45槽vonMises应力Fig.18von Mises stress of 45 grooves at 45 grooves of 58 mm and axial grooves of 93 mm2.95+022.76+02Fringe:Default,Al:Static Subcase,Stress2.56+02Tensor,von Mises,(NON-LAYERED)2.37+022.18+021.98+021.79+021.60+022.95+021.40+021.21+021.01+028.20+016.26+014.32+012.39+01default_Fringe:4.69+00XMax 2.95+02 Nd 1465132YMin 4.49+00 Nd 1476095图19 45槽长58 mm+轴向槽9 5mm时轴向槽vonMises应力Fig.19von Mises stress of axial grooves at 45 grooves of 58 mm and axial grooves of 95 mm42774681508554895893度6.8 mm、45槽长度50 mm、轴向槽长度85mm。表5为槽数范围对钻杆的影响分析。轴向槽表5天线磁芯槽数范围对钻杆影响Tab.5Number range of antenna core grooves45槽轴向槽宽度深度3552.312802.933752.192742.993962.072952.784401.862912.824871.682952.78长度长度槽数互相干涉和穿透情况/mm/mm/mm/mm4.76.8508530均无互相干涉和穿透33均无互相干涉和穿透36均无互相干涉和穿透45槽存在槽与槽之间互39相干涉和穿透45槽存在槽与槽之间互42相干涉和穿透45槽存在槽与槽之间互45相干涉和穿透45槽存在槽与槽之间互48相干涉和穿透16当槽数为39，42，45，48 时，45槽存在槽与槽之间互相干涉和穿透现象，故将这几种槽数不予考虑。3.1槽数为30 时两种槽的vonMises应力场分布槽数为30 时，45槽和轴向槽vonMises应力分别如图2 0，2 1所示。当槽数为30 时，45槽最大vonMises应力值为345MPa，屈服系数为2.37；轴向槽最大von Mises 应力值为2 7 3MPa，屈服系数为3.00。Die and Mould Technology No.5 20233.2槽数为33时两种槽的vonMises应力场分布槽数为33时，45和轴向槽vonMises应力分别如图2 2，2 3所示。当槽数为33时，45槽vonMises应力最大值为36 0 MPa,屈服系数为2.2 8;轴向槽von Mises应力最大值为2 7 5MPa，屈服系数为2.9 8。3.3槽数36 时两种槽vonMises应力场分布槽数为36 时，45和轴向槽vonMises 应力分别如图2 4，2 5所示。3.45+023.23+023.00+022.78+02Fringe:Default,A1:Static Subcase,Stress Tensor,vonMises,(NON-LAYERED)XY2.56+022.33+022.11+021.89+021.66+021.44+02.45+021.22+029.94+017.70+015.47+013.24+01default_Fringe:1.01+01Max 3.45+02 Nd 1466979Min 1.01+01 Nd 1462204图2 0 槽数30 时45槽vonMises应力Fig.20von Mises stress in 45 groove at 30 gro0ves2.73+022.55+02Fringe:Default,Al:Static Subcase,Stress2.38+02Tensor,von Mises,(NON-LAYERED)2.20+022.02+021.85+021.67+021.49+021.32+021.14+022.73+029.65+017.88+016.12+014.36+012.59+01Xdefault_Fringe:Max 2.73+02Nd 1475883YMin 8.29+00 Nd 1472709图2 1槽数30 时轴向槽vonMises应力Fig,21 von Mises stress in axial groove at 30 grooves8.29+00模具技术2 0 2 3.No.5173.60+023.36+023.13+022.89+02Fringe:Default,A1:Static Subcase,Stress Tensor,von2.66+02Mises,(NON-LAYERED)2.42+022.19+021.96+021.72+021.49+021.25+021.02+027.84+015.49+013.15+01default_Fringe:XZY8.06+00Max 3.60+02Nd1467712Min 8.06+00 Nd 1465583图2 2 槽数33时45槽vonMises应力Fig.22von Mises stress in 45 groove at 33 grooves2.75+023.61+023.37+023.14+025.79+00Fringe:Default,Al:Static Subcase,StressTensor,von Mises,(NON-LAYERED)XYFringe:SC1:DEFAULT,A1:Static Subcase,Stress Tensor,vonMises,(NON-LAYERED)ZY2.57+022.39+022.21+022.03+021.85+021.67+021.49+021.31+021.13+029.55+017.75+015.96+014.17+012.37+01default_Fringe:5.79+00Max2.75+02Nd1479073Min 5.79+00 Nd 1488757图2 3槽数33时轴向槽vonMises应力Fig.23von Mises stress in axial groove at 33 grooves图2 4槽数36 时45槽vonMises应力Fig.24von Mises stress in 45 gro0ves at 36 grooves2.90+022.67+022.43+022.20+023.61+021.96+021.72+021.49+021.25+021.02+027.83+015.48+013.12+017.71+00default_Fringe:Max 3.61+02 Nd 1500705Min 7.71+00Nd150887018Die and Mould Technology No.5 20232.94+02Fringe:SC1:DEFAULT,A1:Static Subcase,StressTensor,von Mises,(NON-LAYERED)XZY当槽数为36 时，45槽vonMises应力最大值为36 1MPa，屈服安全系数为2.2