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基于WOA-BP-LSTM自编码器的CFRP薄壁C柱轴压响应预测OA

Prediction of axial crushing response for CFRP thin-walled C-columns based on WOA-BP-LSTM autoencoder

中文摘要英文摘要

针对航空器货舱下部碳纤维增强复合材料(CFRP)薄壁C柱在准静态轴压下的力-位移响应预测问题,提出了一种融合鲸鱼优化算法(WOA)、反向传播(BP)神经网络和长短期记忆(LSTM)自编码器的智能预测模型(WOA-BP-LSTM自编码器模型).通过CFRP薄壁C柱准静态轴压试验验证了有限元模型可靠性,其轴压响应评价指标误差均小于10%,基于该模型构建了包含700组变截面几何参数的力-位移响应数据集.采用LSTM自编码器实现力-位移响应特征降维与重建,随后采用BP神经网络对力-位移响应进行预测,并采用WOA进行神经网络参数优化.结果表明,LSTM自编码器实现了力-位移响应的高精度重建,测试集初始峰值压溃力和能量吸收的重建误差均小于3%,80%样本误差小于1%;优化后预测模型的力-位移响应预测精度显著提升,测试集平均绝对误差(MAE)降低17.55%,均方误差(MSE)降低31.77%,均方根误差(RMSE)降低17.47%,初始峰值压溃力和能量吸收的预测误差均小于8%,80%样本误差小于5%.该智能预测模型实现了变截面CFRP薄壁C柱轴压响应的快速精准预测并降低了计算成本,为其轴压响应研究提供了一种高效的参数-性能映射工具.

To predict the force-displacement responses of Carbon Fiber Reinforced Plastic(CFRP)thin-walled C-columns in the aircraft sub-cargo area under quasi-static axial crushing,an intelligent prediction model(WOA-BP-LSTM autoencoder model)integrating the Whale Optimization Algorithm(WOA),Back Propagation(BP)neural net-work,and Long Short-Term Memory(LSTM)autoencoder was proposed.The reliability of the finite element model of CFRP thin-walled C-columns was validated through quasi-static axial crushing tests,with axial crushing response evaluation indicators showing errors within 10%.A dataset comprising 700 force-displacement response samples with variable cross-sectional geometric parameters was constructed based on the model.The LSTM autoencoder was em-ployed for dimensionality reduction and reconstruction of the force-displacement responses.Subsequently,the BP neural network was used for force-displacement responses prediction,with WOA optimizing the neural network param-eters.The results show that the LSTM autoencoder achieved high-precision reconstruction of force-displacement re-sponses,where the errors for initial peak crushing force and energy absorption in the test set were both less than 3%,and 80%of the samples had errors within 1%.The optimized prediction model significantly improved prediction accu-racy,reducing the test set's Mean Absolute Error(MAE)by 17.55%,Mean Squared Error(MSE)by 31.77%,and Root Mean Squared Error(RMSE)by 17.47%.Prediction errors for the initial peak crushing force and energy absorp-tion were both less than 8%,with 80%of samples showing errors within 5%.This model enables rapid and accurate prediction of axial crushing responses for variable cross-section CFRP thin-walled C-columns while reducing computa-tional costs,providing an efficient parameter-performance mapping tool for the study of its axial crushing response.

牟浩蕾;张贾;冯振宇;白春玉

中国民航大学 科技创新研究院,天津 300300中国民航大学 安全科学与工程学院,天津 300300中国民航大学 科技创新研究院,天津 300300中国飞机强度研究所 强度与结构完整性全国重点实验室,西安 710065

航空航天

CFRP薄壁C柱轴压响应LSTM自编码器鲸鱼优化算法BP神经网络

CFRP thin-walled C-columnsaxial crushing responseLSTM autoencoderwhale optimization algo-rithmBP neural network

《航空学报》 2026 (4)

112-124,13

国家自然科学基金(U2433203)天津市应用基础研究多元投入基金(23JCYBJC00070)中央高校基本科研业务费专项资金(3122025084)中国民航大学研究生科研创新项目(2024YJSKC09002)National Natural Science Foundation of China(U2433203)Tianjin Applied Basic Research Multi-Input Fund Project(23JCYBJC00070)Fundamental Research Funds for the Central Universities(3122025084)Graduate Scientific Research Innovation Project of Civil Aviation University of China(2024YJSKC09002)

10.7527/S1000-6893.2025.32349

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