小样本条件下基于物理残差修正的高低周复合疲劳寿命预测方法
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1.内蒙古科技大学;2.内蒙古工业大学

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O346.2

基金项目:

国家自然科学基金(52365014);内蒙古科协青年科技人才托举工程博士生专项计划(QTBS2520);内蒙古自治区自然科学基金(2025QN05040);鄂尔多斯市井工煤矿智慧化生产与安全管理关键技术研究与示范项目(KCX2024010)


A Physics-Residual Correction-Based Method for High–Low Cycle Combined Fatigue Life Prediction under Small-Sample Conditions
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1.Inner Mongolia University of Science and Technology;2.Inner Mongolia University of Technology,Hohhot

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    摘要:

    针对小样本条件下高低周复合疲劳(combined high and low cycle fatigue, CCF)寿命预测中传统损伤累积模型精度不足、纯数据驱动模型泛化能力有限的问题,提出一种基于物理残差修正的高低周复合疲劳寿命预测方法。首先,以Miner线性累积损伤模型为物理基准,分析其在高低周复合疲劳寿命预测中的残差特征。其次,基于低周疲劳(low cycle fatigue, LCF)损伤占比、高周疲劳(high cycle fatigue, HCF)损伤占比和高低周寿命尺度差异,构造高低周耦合损伤参量 ,并结合材料类别信息建立物理损伤特征。然后,以Miner模型对数残差为学习目标,采用支持向量回归建立物理残差修正模型,实现复合疲劳寿命预测。基于7种材料共43组高低周复合疲劳试验数据,采用留一交叉验证方法对模型进行验证。结果表明,本文模型的RMSElog10为0.0895,低于Miner模型、Manson-Halford模型、SVR模型和XGBoost模型。与表现较好的SVR模型相比,RMSElog10降低约46.2%。同时,本文模型的预测误差倍数范围为0.6775~1.4950,全部样本均落入1.5倍误差范围内。消融实验表明,残差修正机制、高低周耦合损伤参量和材料信息对当前数据集上的预测结果均有贡献。研究结果表明,所提方法在当前7种材料43组样本和留一交叉验证设置下具有较好的经验预测效果,但其对未见材料和更复杂试验条件的适用性仍需进一步验证。

    Abstract:

    To address the insufficient accuracy of traditional damage accumulation models and the limited generalization capability of purely data-driven models in high–low cycle combined fatigue life prediction under small-sample conditions, a high–low cycle combined fatigue life prediction method based on physics residual correction is proposed. First, the Miner linear damage accumulation model is used as the physical baseline, and its residual characteristics in high–low cycle combined fatigue life prediction are analyzed. Second, based on the low-cycle damage ratio, high-cycle damage ratio, and life-scale difference between high-cycle and low-cycle fatigue, a high–low cycle coupled damage parameter ΠLH is constructed. Combined with material category information, physics-informed damage features are established. Then, taking the logarithmic residual of the Miner model as the learning target, a physics-informed residual correction model is developed using support vector regression to predict the combined fatigue life. The proposed model is validated by leave-one-out cross-validation using 43 high–low cycle combined fatigue test samples from seven materials. The results show that the proposed model achieves an RMSElog10 of 0.0895, which is lower than those of the Miner model, Manson-Halford model, SVR model, and XGBoost model. Compared with the better-performing SVR model, the RMSElog10 is reduced by approximately 46.2%. Meanwhile, the prediction error factor of the proposed model ranges from 0.6775 to 1.4950, and all samples fall within the factor-of-1.5 error band. The ablation experiments indicate that the residual correction mechanism, the high–low cycle coupled damage parameter, and material information all contribute to the prediction results on the present dataset. The results indicate that the proposed method achieves favorable empirical prediction performance on the present dataset of 43 samples from seven materials under the LOOCV setting, while its applicability to unseen materials and more complex test conditions still requires further validation.

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葛新宇,张超,毕俊喜,等. 小样本条件下基于物理残差修正的高低周复合疲劳寿命预测方法[J]. 科学技术与工程, , ():

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  • 收稿日期:2026-06-11
  • 最后修改日期:2026-09-18
  • 录用日期:2026-09-29
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