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Chinese Journal of Engineering Design  2026, Vol. 33 Issue (3): 456-471    DOI: 10.3785/j.issn.1006-754X.2026.05.212
Optimization Design     
Optimization design of hydraulic slip flat-top tooth profile based on BNN-ASMA
Xiao ZHANG(),Qin LI(),Zhiqiang HUANG,Qiang WEI,Tong CHEN
School of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500, China
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Abstract  

To address the issue of stress concentration in hydraulic slips during the gripping of drill pipes in deep well drilling, which often leads to drill pipe damage, a hybrid optimization method integrating Bayesian neural network (BNN) and artemisinin slime mold algorithm (ASMA) is proposed. Taking the hydraulic slip with flat-top tooth structure as the research object, a slip tooth-drill pipe contact model was first established, and the stress distribution of the slip tooth and the drill pipe was calculated through finite element analysis to extract the initial dataset. On this basis, orthogonal experiments were conducted to screen sensitive parameters, and the sample dataset was further expanded for surrogate model training. Subsequently, a BNN-based surrogate model was developed to fit the slip tooth profile parameters and mechanical responses (with a determination coefficient of R2>0.95), followed by multi-objective optimization utilizing the ASMA. The results demonstrated that the maximum equivalent stress of the slip tooth was reduced from 582.96 MPa to 303.53 MPa (a reduction of 47.9%), while the maximum equivalent stress of the drill pipe decreased from 360.03 MPa to 235.87 MPa (a decrease of 34.5%), significantly enhancing the performance of the slip tooth. The research results provide an efficient and reliable novel approach for the structural optimization of hydraulic slip tooth profiles.



Key wordshydraulic slip      flat-top tooth profile      Bayesian neural network      artemisinin slime mold algorithm      stress optimization      finite element analysis     
Received: 30 September 2025      Published: 27 June 2026
CLC:  TE 929  
Corresponding Authors: Qin LI     E-mail: 823352806@qq.com;905973416@qq.com
Cite this article:

Xiao ZHANG, Qin LI, Zhiqiang HUANG, Qiang WEI, Tong CHEN. Optimization design of hydraulic slip flat-top tooth profile based on BNN-ASMA. Chinese Journal of Engineering Design, 2026, 33(3): 456-471.

URL:

https://www.zjujournals.com/gcsjxb/10.3785/j.issn.1006-754X.2026.05.212     OR     https://www.zjujournals.com/gcsjxb/Y2026/V33/I3/456


基于BNN-ASMA的液压卡瓦平顶牙型优化设计

针对深井钻探液压卡瓦在夹持钻杆过程中易产生应力集中而造成钻杆损伤的问题,提出了一种融合贝叶斯神经网络(Bayesian neural network, BNN)与青蒿素黏菌算法(artemisinin slime mold algorithm, ASMA)的混合优化方法。以液压卡瓦平顶牙型结构为研究对象,首先建立卡瓦牙-钻杆接触模型,通过有限元分析计算卡瓦牙和钻杆的应力分布,并提取初始数据集;在此基础上,通过正交试验筛选敏感参数并进一步扩充样本数据集,用于代理模型训练。随后,利用BNN构建卡瓦牙齿形参数与力学响应的代理模型(决定系数R2>0.95),并结合ASMA进行多目标优化。结果表明,优化后卡瓦牙的最大等效应力从582.96 MPa降至303.53 MPa(降低了47.9%),钻杆的最大等效应力从360.03 MPa降至235.87 MPa(降低了34.5%),卡瓦牙性能显著提升。研究结果为液压卡瓦牙型结构优化提供了高效、可靠的新思路。


关键词: 液压卡瓦,  平顶牙型,  贝叶斯神经网络,  青蒿素黏菌算法,  应力优化,  有限元分析 
Fig.1 Three-dimensional model and tooth profile parameters of flat-top slip tooth
Fig.2 Slip tooth-drill pipe contact model
结构材料密度/(kg/m3)弹性模量/MPa泊松比屈服强度/MPa抗拉强度/MPa
卡瓦牙20CrMnTi7 8602.12×1050.2891 1301 100
卡瓦座42CrMo7 8502.12×1050.2808601 080
钻杆S135钢7 8502.02×1050.3008761 099
Table 1 Material parameters of slip and drill pipe
Fig.3 Boundary condition setting for slip tooth-drill pipe contact model
网格数量/个

卡瓦牙最大等效

应力/MPa

钻杆最大等效应力/MPa
最大相对误差/%2.973.50
10 609571.48350.45
12 817577.68352.21
16 138582.96360.98
23 258587.14361.62
29 620588.44362.71
Table 2 Mesh independence verification results
Fig.4 1/3 model of hydraulic slip gripping drill pipe
Fig.5 Mesh generation of hydraulic slip gripping drill pipe model
Fig.6 Comparison of equivalent stress distribution of slip tooth and drill pipe based on different models
Fig.7 Finite element simulation results of hydraulic slip gripping drill pipe
Fig.8 Schematic of tooth profile parameters of flat-top slip tooth
Fig.9 Effect of tooth rake angle on maximum equivalent stress of slip tooth and drill pipe
Fig.10 Effect of tooth top width on maximum equivalent stress of slip tooth and drill pipe
Fig.11 Effect of tooth height on maximum equivalent stress of slip tooth and drill pipe
序号牙前角/(°)牙顶宽/mm牙高/mm
1201.22.0
2201.43.0
3201.62.5
4251.23.0
5251.42.5
6251.62.0
7301.22.5
8301.42.0
9301.63.0
Table 3 Orthogonal experimental schemes for tooth profile parameters of slip tooth
序号

卡瓦牙最大等效

应力/MPa

钻杆最大等效

应力/MPa

1560.71560.46
2476.17325.73
3438.97283.20
4667.71392.35
5448.42344.39
6425.12282.28
7474.76300.85
8430.81338.19
9400.24278.77
Table 4 Orthogonal experimental results for tooth profile parameters of slip tooth
序号齿形参数最大等效应力/MPa
牙前角/(°)牙顶宽/mm牙高/mm卡瓦牙钻杆
1028.01.652.90433.54260.98
1127.01.553.10509.25269.50
1230.01.702.80487.12261.03
1326.01.602.70574.03243.02
1430.01.602.60413.02261.19
1522.01.603.00500.46235.57
1632.01.723.20392.84220.26
1728.01.752.80427.25254.40
1829.51.682.95467.64264.86
1927.01.653.05473.39258.39
2030.01.702.90472.64261.36
2131.01.683.10404.37228.60
2229.01.722.85475.45265.79
2327.01.782.95458.15264.61
2428.51.653.15496.87261.93
2530.01.703.05462.14237.75
Table 5 Supplementary test schemes and results
Fig.12 Average R2 of BNN model after eliminating abnormal results
Fig.13 Overall architecture of BNN
类别特征名称程序计算逻辑
基础变量X1原始输入
X2原始输入
X3原始输入
多项式特征X12X1_sq=X1**2
X22X2_sq=X2**2
X32X3_sq=X3**2
交互特征X1X2X1_X2=X1×X2
X1X3X1_X3=X1×X3
X2X3X2_X3=X2×X3
Table 6 Feature engineering strategies
Fig.14 Training process and prediction results of BNN surrogate models
Fig.15 Optimization process of slip tooth profile parameters based on BNN-ASMA
Fig.16 Statistical results of ASMA optimization
Fig.17 ASMA iteration curves
Fig.18 Comparison of computation time of different algorithms
Fig.19 Comparison of computational stability of different algorithms
Fig.20 Comparison of computational success rate of different algorithms (with performance threshold of 505)
Fig.21 Comparison of convergence curves of different algorithms
对比项牙前角/(°)牙顶宽/mm牙高/mm
优化前的初始组合30.001.002.50
正交试验最优组合20.001.602.50
NSGA-III优化组合31.072.091.88
ASMA优化组合33.492.092.90
Table 7 Comparison of slip tooth profile parameters before and after optimization
Fig.22 Comparison of maximum equivalent stress of slip tooth and drill pipe before and after optimization
 
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