基于Co-Kriging的船体表面振动预测与自更新方法

Hull Surface Vibration Prediction and Self-Updating Method Based on Co-Kriging

  • 摘要: 针对船体表面振动频响预测中仿真计算效率低及试验样本匮乏问题,以典型船体结构-双层底刚性平台为对象,研究一种具备自更新能力的高维频响场多保真预报方法。采用主成分分析(PCA)压缩高维频响数据;在激励-响应空间构建双层Co-Kriging代理模型融合仿真与试验数据;引入基于后验方差最大化的主动学习策略,实现试验样本的补填与模型更新。交叉验证结果显示,该方法预测平均绝对误差(MAE)约为2.55 dB;通过主动学习仅增3个补点即可使全局均方根误差(RMSE)降低7.7%。该方法实现了频率-空间双高维响应场的精确表征,适用于小样本约束下的高维代理建模,可为舰船数字孪生系统模型修正与振动在线评估提供参考。

     

    Abstract: To address the issues of low computational efficiency and scarce experimental samples in hull surface vibration prediction, a multi-fidelity method with self-updating capability for high-dimensional frequency response fields is investigated, focusing on a typical hull structure—the double bottom-rigid platform. Principal component analysis (PCA) is employed to compress high-dimensional frequency response data. A two-layer Co-Kriging surrogate model is then constructed within the excitation-response coordinate space to fuse multi-fidelity data from both simulations and experiments. Furthermore, an active learning strategy based on posterior variance maximization is introduced to implement sequential sample infilling and model updating. Cross-validation results/t/ndemonstrate that the mean absolute error (MAE) of the proposed method is approximately 2.55 dB. By incorporating only three additional samples through the active learning strategy, the global root mean square error (RMSE) is reduced by 7.7%. This method achieves accurate characterization of frequency-spatial high-dimensional response fields and is applicable to high-dimensional surrogate modeling under small-sample constraints, providing a reference for model updating and online vibration assessment in ship digital twin systems.

     

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