基于自适应距离阈值缩减的建筑群非线性地震响应快速预测

rapid prediction of nonlinear seismic responses for building clusters based on adaptive distance threshold reduction

  • 摘要: 快速准确地模拟批量地震作用下城市建筑群的非线性地震响应,对于震后的区域损失评价与快速救援具有非常重要的意义。智能算法作为一种新型的、有效解决途径,对于数十万规模的建筑群,仍然存在训练成本过高的问题。对此,研究提出一种“先缩减—再预测”的方案,即先通过自适应距离阈值机制将大规模建筑群压缩为少量代表性建筑,再结合机器学习模型实现建筑群的非线性地震响应的高效预测。实例分析表明:在主成分分析构建的嵌入特征空间中,马氏距离指标能够有效刻画样本相似性,结合加权最大均值差异方法实现代表建筑集的自适应选取;所构建的“压缩—预测”框架能够在十万量级建筑群中实现地震响应的快速预测,在验证集上的预测平均绝对误差为 2.23%,计算耗时较传统全量分析降低 99%,可为大规模区域建筑群地震损伤快速评估与地震应急决策提供方法参考。

     

    Abstract: Fast and accurate simulation of nonlinear seismic responses to urban building clusters under batch earthquake loading is of great importance for post-earthquake regional loss assessment and rapid emergency response. Intelligent algorithms are a novel and effective solution. However, they still have prohibitively high training costs when applied to building clusters at the scale of hundreds of thousands. To address this issue, a “reduction–prediction” scheme is proposed. Large-scale building clusters are first reduced to a small set of representative buildings using an adaptive distance-threshold mechanism. A machine learning model is then applied to efficiently predict the nonlinear seismic responses of the building clusters. Case studies show that the Mahalanobis distance effectively characterizes sample similarity in a feature space based on Principal Component Analysis. Combined with the Weighted Maximum Mean Discrepancy, it enables adaptive selection of the representative building set. The proposed “compression–prediction” framework achieves fast seismic nonlinear response prediction for building clusters at the scale of hundreds of thousands, with a mean absolute error of 2.23% and a 99% reduction in computation time, providing a practical reference for rapid seismic damage assessment and emergency decision-making.

     

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