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基于有限元协同的PSO-BP神经网络的高强板矫平工艺参数预测

Prediction of levelling process parameters for high-strength plates based on finite element collaborative PSO-BP neural network

  • 摘要: 针对高强板矫直中传统预测精度不足导致平直度控制难题,本研究开发了一种高精度预测模型,提出有限元仿真与智能算法协同的粒子群优化反向传播(BP)神经网络模型(PSO-BP)。通过构建基于ABAQUS的11辊矫直机三维动态显式有限元模型,模拟不同工艺参数下高强板矫直全过程的应力应变场演化及平直度变化;同步采集生产线2 000组实测数据,结合500组有限元仿真数据补充样本,经标准化处理后构建跨源异构训练数据集;利用粒子群算法(PSO)优化BP神经网络的初始权值与阈值,有效克服传统BP收敛慢、梯度消失及局部极小值问题。实验验证表明,PSO-BP模型预测性能卓越:训练集相关系数R值为0.957,测试集R值为0.965, 均方根误差(RMSE)降至0.027, 关键预测误差率稳定在3.7%~8.57%; 显著优于传统有限元法18.57%~20%的误差率。本研究融合PSO全局寻优与BP局部逼近能力,在复杂工艺条件下实现泛化性能突破,预测结果与实际高度吻合。后续需扩充数据多样性以增强模型适应性与迁移能力。

     

    Abstract: This study aims to address the difficulty of straightness control in the straightening of high-strength plates caused by insufficient prediction accuracy of traditional methods. To this end, a high-precision prediction model is developed, and a particle swarm optimization-BP neural network model (PSO-BP) is proposed based on the synergy between finite element simulation and intelligent algorithms. A 3D dynamic explicit finite element model of an 11-roll straightening machine is constructed using ABAQUS to simulate the stress-strain field evolution and flatness change during the entire straightening process of a high-strength plate under various process parameters. Subsequently, 2 000 sets of measured data are collected from the production line, combined with 500 supplementary finite element simulation samples, and a cross-source heterogeneous training dataset is established after standardization. The Particle Swarm Algorithm (PSO) is employed to optimize the initial weights and thresholds of the BP neural network, effectively overcoming the problems of slow convergence, gradient vanishing, and local minima associated with traditional BP neural networks. Experimental validation shows that the PSO-BP model has excellent predictive performance: the correlation coefficient R-value in the training set is 0.957 and in the test set it is 0.965; the Root Mean Square Error (RMSE) has been reduced to 0.027; and the key prediction error rate remains stable at between 3.7% and 8.57%. This is a significant improvement on the traditional Finite Element Method (FEM), which has an error rate ranging from 18.57% to 20%. This study combines PSO global optimization and BP local approximation to achieve a breakthrough in generalization performance under complex process conditions, with prediction results that are highly aligned with actual outcomes. In the future work, the data diversity needs to be expanded to enhance the model′s adaptability and migration capability.

     

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