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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

牟浩蕾1,张贾1,冯振宇1,白春玉2,3   

  1. 1. 中国民航大学
    2. 西安交通大学
    3. 中国飞机强度研究所
  • 收稿日期:2025-06-03 修回日期:2025-07-30 出版日期:2025-07-30 发布日期:2025-07-30
  • 通讯作者: 冯振宇
  • 基金资助:
    国家自然科学基金项目;天津市应用基础研究多元投入基金项目;中央高校基本科研业务费项目;中国民航大学研究生科研创新项目

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

  • Received:2025-06-03 Revised:2025-07-30 Online:2025-07-30 Published:2025-07-30
  • Supported by:
    National Natural Science Foundation of China;Tianjin Applied Basic Research Multi-Input Fund Project;Fundamental Research Funds for the Central Universities

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

关键词: 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

Abstract: Aiming 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 network, 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 employed 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 parameters. The results showed that the LSTM autoencoder achieved high-precision reconstruction of force-displacement responses, 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 accuracy, 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 absorption 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 computational costs, providing an efficient parameter-performance mapping tool for the study of its axial crushing response.

Key words: CFRP thin-walled C-columns, axial crushing response, LSTM autoencoder, whale optimization algorithm, BP neural network

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