结构化知识推理迁移的变材料层板强度预测

Comparison of the accuracy of compressive strength prediction errors for variable materials

  • 摘要: 针对传统数据驱动模型的“黑箱”特性导致预测结果缺乏力学解释性、泛化能力弱且工程应用受限的问题,本文提出结构化迁移学习-知识推理神经网络(Structured Transfer Learning-Knowledge Inference Neural Network, STL-KINN)方法,通过机理嵌入与知识迁移的协同建模策略,提高神经网络这类黑箱模型自身和泛化过程的可解释性。首先,基于Hashin准则将纤维断裂和基体开裂等典型失效模式直接嵌入进网络架构,设计结构化多项式函数,各阶项具有明确物理含义,使模型权重和物理规律可相互验证;其次,针对超参数迁移过程不可量化解释的缺陷,对结构化多项式函数中的权重阈值结合源域与目标域的差异微调,可视量化超参变化;最后,分别通过单材料体系变铺层的层合板压缩强度预测和跨材料体系的变材料变铺层层合板压缩强度预测,在样本量充足的情况下,X850材料层合板压缩强度的预测精度MRE降低85.882%,迁移学习后针对M21C材料体系,MRE降低59.062%,为提高增强模型泛化能力与工程适用性提供新思路。

     

    Abstract: To solve the problems of lack of mechanical explanatory, weak generalization ability and limited engineering application due to the ‘black box’ characteristics of traditional data-driven models, this paper proposes a Structured Transfer Learning-Knowledge Inference Neural Network (STL-KINN) method to use a collaborative modeling strategy of mechanism embedding and knowledge transfer. Improve the explainability of black-box models such as neural networks and their generalization processes. Firstly, based on the Hashin criterion, typical failure modes such as fiber fracture and matrix cracking are directly embedded into the network architecture, and structured polynomial functions are designed, and each order term has a clear physical meaning, so that the model weights and physical laws can be mutually verified. Secondly, in view of the defect of non-quantifiable explanation of the hyperparameter transfer process, the weight threshold in the structured polynomial function is fine-tuned in combination with the difference between the source domain and the target domain, and the changes of the hyperparameters can be quantified visually. Finally, the prediction accuracy of the compressive strength of X850 material laminate is reduced by 85.882% under the condition of sufficient sample size, and the MRE is reduced by 59.062% after transfer learning, which provides a new idea for improving the generalization ability and engineering applicability of the enhanced model.

     

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