基于GPR-RBF的多轴铣削钛合金残余应力预测

Residual stress prediction in multi-axis milling of titanium alloys based on GPR-RBF

  • 摘要: 加工残余应力的准确预测和建模是对残余应力变形预测与控制的基础。针对Ti-6Al-4V钛合金在多轴铣削条件下表面残余应力难以准确预测的问题,提出一种融合高斯过程回归(Gaussian process regression, GPR)与径向基函数(radial basis function, RBF)神经网络的协同建模方法。融合高斯过程回归(Gaussian process regression, GPR)与径向基函数(radial basis function, RBF)神经网络,利用GPR的贝叶斯不确定性量化能力优化RBF网络的初始权值与阈值,以降低预测方差并增强小样本条件下的泛化稳定性。基于多因素正交试验设计,利用X射线衍射技术获取设计参数区间内不同工艺参数组合对应的表面残余应力样本数据。通过GPR算法对RBF神经网络的初始权值及阈值进行数据驱动式协同优化,并以此训练网络,最终构建工艺参数与残余应力之间的非线性映射模型。验证结果表明,模型在σxσy方向的平均预测误差分别为6.86%和10.12%,单次预测耗时仅3.82 s。相比较于其他主流预测算法,对于表面残余应力的预测精度更高、运算速度更快。

     

    Abstract: The accurate prediction and modeling of processing residual stress is the foundation for the prediction and control of residual stress deformation. To address the challenge of accurately predicting surface residual stress in multi-axis milling of Ti-6Al-4V titanium alloy, a hybrid approach integrating Gaussian process regression (GPR) and radial basis function (RBF) neural network is proposed. The Bayesian uncertainty quantification capability of GPR is exploited to optimize the initial weights and thresholds of the RBF network, thereby reducing prediction variance and enhancing generalization stability under small-sample conditions. Based on a multi-factor orthogonal experimental design, surface residual stress data corresponding to various combinations of process parameters within the designed parameter range were obtained using X-ray diffraction technique. The GPR algorithm was employed to collaboratively optimize the initial weights and thresholds of the RBF neural network, and the network was subsequently trained to establish a nonlinear mapping relationship between process parameters and residual stresses. The validation results show that the mean prediction errors in the σx and σy directions are 6.86% and 10.12%, respectively, with a single prediction time of only 3.82 s. Compared with other mainstream prediction algorithms, the proposed method achieves higher prediction accuracy and faster computational speed for surface residual stress.

     

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