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工程设计学报
Chinese Journal of Engineering Design  2025, Vol. 32 Issue (2): 272-280    DOI: 10.3785/j.issn.1006-754X.2025.04.141
Optimization Design     
Fatigue life optimization of sheer wave vibroseis vibrator baseplate based on NSGA-Ⅱ and TOPSIS method
Zhen CHEN1,2(),Qingjie RAN1(),Xiaoyang YING1,Nengpeng CHEN1,Chaocheng WEI1,Qiaomu WANG1
1.School of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500, China
2.Sichuan Key Laboratory of Shale Gas Evaluation and Exploitation, Chengdu 610500, China
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Abstract  

The sheer wave vibroseis vibrator baseplate is a key component in shale gas exploration, and its fatigue life directly affects the service life of vibroseis and the exploration accuracy. However, traditional optimization methods for vibrator baseplate fatigue life ignore the welding residual stress between the baseplate and the baseplate teeth, resulting in poor performance in anti-fatigue optimization design for the baseplate structure. Therefore, the local sensitivity method was used to conduct a sensitivity analysis for the fatigue life of the baseplate, and the welding residual stress was determined as the key factor affecting the fatigue life. Subsequently, mathematical models between the maximum welding residual stresses in all directions of the baseplate and the welding speed and interlayer temperature were established. Meanwhile, with the maximum welding residual stresses in all directions as the constraints and the fatigue life as the optimization target, the corresponding optimization model was constructed. Finally, the NSGA-Ⅱ (non-dominated sorting genetic algorithm-Ⅱ) was used to obtain the Pareto solution set, and the best optimization scheme was determined by combining the entropy weight method and the TOPSIS (technique for order preference by similarity to ideal solution): the welding speed was 10.23 mm/s and the welding interlayer temperature was 105 ℃. The results showed that the fatigue life of the optimized baseplate was 10.23 years, which was 17.72% higher than that before optimization. The research results can provide scientific and effective theoretical methods and engineering guidance for the fatigue life optimization of the sheer wave vibroseis vibrator baseplate.

Key words： sheer wave vibroseis      vibrator baseplate      fatigue life      welding residual stress      NSGA-Ⅱ      TOPSIS method     
Received: 20 May 2024      Published: 06 May 2025
CLC:  TH 16  
Corresponding Authors: Qingjie RAN     E-mail: 117976897@qq.com;1638785198@qq.com
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Zhen CHEN
Qingjie RAN
Xiaoyang YING
Nengpeng CHEN
Chaocheng WEI
Qiaomu WANG
Cite this article:

Zhen CHEN,Qingjie RAN,Xiaoyang YING,Nengpeng CHEN,Chaocheng WEI,Qiaomu WANG. Fatigue life optimization of sheer wave vibroseis vibrator baseplate based on NSGA-Ⅱ and TOPSIS method. Chinese Journal of Engineering Design, 2025, 32(2): 272-280.

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https://www.zjujournals.com/gcsjxb/10.3785/j.issn.1006-754X.2025.04.141     OR     https://www.zjujournals.com/gcsjxb/Y2025/V32/I2/272


基于NSGA-Ⅱ和TOPSIS法的横波可控震源振动器平板疲劳寿命优化

横波可控震源振动器平板作为页岩气勘探中的关键部件，其疲劳寿命直接影响可控震源的使用寿命和勘探精度。然而，传统的振动器平板疲劳寿命优化方法未考虑平板与平板齿间焊接残余应力的影响，导致平板结构在抗疲劳优化设计方面效果不佳。为此，使用局部灵敏度法对平板疲劳寿命进行敏感性分析，确定了焊接残余应力为影响疲劳寿命的关键因素。随后，建立了平板的各向最大焊接残余应力与焊接速度和焊接层间温度之间的数学模型，并以各向最大焊接残余应力为约束，以疲劳寿命为优化目标，建立相应的优化模型。最后，利用NSGA-Ⅱ（non-dominated sorting genetic algorithm-Ⅱ，非支配排序遗传算法-Ⅱ）获取Pareto解集，并结合熵权法和TOPSIS（technique for order preference by similarity to ideal solution，逼近理想解排序）法确定最佳优化方案：焊接速度为10.23 mm/s，焊接层间温度为105 ℃。结果表明，优化后平板的疲劳寿命为10.23年，相比优化前提高了17.72%。研究结果可为横波可控震源振动器平板的疲劳寿命优化提供科学有效的理论方法和工程指导。


关键词： 横波可控震源,  振动器平板,  疲劳寿命,  焊接残余应力,  NSGA-Ⅱ,  TOPSIS法 
Fig.1 Structure of shear wave vibroseis
Fig.2 Fatigue life curve of vibrator baseplate
Fig.3 Sensitivity ratio curve of factors influencing on fatigue life of vibrator baseplate
设计变量取值
焊接速度/(mm/s)6、8、10、12
焊接层间温度/℃100、150、200、250
Table 1 Values of welding speed and welding interlayer temperature
焊接速度/(mm/s)

焊接层间

温度/℃

最大焊接残余应力/MPa
X向Y向Z向
6100490.75185.90110.83
150490.67168.63102.93
200489.55153.9893.24
250488.44150.0590.42
8100470.42186.93135.47
150498.04165.73112.91
200496.80153.67100.52
250523.02169.67118.79
10100460.20114.02108.28
150499.89110.4881.70
200493.83131.1398.51
250501.36170.83115.58
12100501.91128.10100.62
150529.27135.3294.56
200514.95141.41108.94
250511.10136.43125.22
Table 2 Maximum welding residual stresses in all directions of vibrator baseplate under different welding process parameters
焊接层间温度/℃X向最大焊接残余应力Y向最大焊接残余应力Z向最大焊接残余应力
仿真值/MPa计算值/MPa相对误差/%仿真值/MPa计算值/MPa相对误差/%仿真值/MPa计算值/MPa相对误差/%
120501.78488.78-2.59177.53174.22-1.86114.02118.503.93
180507.39500.22-1.41161.40155.07-3.9294.3997.943.76
220508.07502.56-1.08154.70157.711.9599.00100.271.28
Table 3 Comparison of simulation values and calculation values of maximum welding residual stresses in all directions of vibrator baseplate (v=8 mm/s)
Fig.4 Variation law of maximum welding residual stress in X direction of vibrator baseplate
Fig.5 Variation law of maximum welding residual stress in Y direction of vibrator baseplate
Fig.6 Variation law of maximum welding residual stress in Z direction of vibrator baseplate
Fig.7 Solution process of NSGA-Ⅱ
参数数值参数数值
交叉概率0.9变异概率0.1
交叉分布指数20变异分布指数20
种群数量/个400迭代数/次200
Table 4 Parameter setting for NSGA-Ⅱ
Fig.8 Pareto solution set of welding residual stress of vibrator baseplate based on NSGA-Ⅱ
Fig.9 Contribution degree of welding process parameters to welding residual stresses in all directions
性能指标焊接速度焊接层间温度
X向焊接残余应力0.113 00.158 2
Y向焊接残余应力0.198 50.014 7
Z向焊接残余应力0.084 20.157 5
Table 5 Influence weight of welding process parameters on welding residual stresses in all directions
性能指标dj+dj-ηj排序结果
X向焊接残余应力0.085 50.146 40.631 21
Y向焊接残余应力0.143 50.114 30.443 33
Z向焊接残余应力0.114 30.142 80.555 52
Table 6 Closeness degree and sequence of welding residual stresses in all directions to their positive and negative ideal solutions
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