基于改进差分进化算法的设计反应谱高稳定性标定方法研究

设计反应谱是抗震设计的重要依据，由设计谱的特征参数表征。利用差分进化算法标定设计反应谱，可给出拐点周期、特征周期、平台值和衰减指数等特征参数。但标准的差分进化算法易造成优化结果的早熟或停滞，在设计反应谱的标定中导致标定结果不稳定。为实现设计谱标定结果的最优化，该文从PEER数据库中选取60条不同类型的地震加速度反应谱，比较多种改进的差分进化算法的稳定性和适用性，以期为设计反应谱的标定提供优质的方法。通过对比分析多种方法给出的特征参数和评价指标，论证了方法的精确性和稳定性。分析结果表明，GLDE算法在标定设计反应谱的工程问题中能有效地避免标定结果不稳定的现象，获得比其他方法更精确的特征参数，因此推荐GLDE算法标定设计反应谱和研究设计谱的特征参数。

Study on high stability calibration method of design response spectrum based on improved differential evolution algorithm

The design response spectrum is an important basis for seismic design and is presented by the characteristic parameters of the design spectrum. Utilizing differential evolution to calibrate the design response spectrum, characteristic parameters, such as the corner period, characteristic period, the amplitude of the flat portion and attenuation index, can be given. However, the standard differential evolution may lead to prematurity or stagnation of the optimization results, causing unstable calibration results in the calibration of the design response spectrum. To achieve the optimization of calibration results of the design spectrum, 60 seismic acceleration response spectra with different types from the PEER database are selected, and the stability and applicability of various improved differential evolution algorithms are compared to provide high-quality method for the calibration of design response spectra. By comparing and analyzing the characteristic parameters and evaluation index, the accuracy and stability of the methods are demonstrated. The analysis results show that the GLDE algorithm can effectively avoid the unstable phenomenon of the calibration results in the engineering problem of calibrating the design response spectrum, and obtain more accurate characteristic parameters than other methods. Therefore, GLDE algorithm is recommended to calibrate the design response spectrum and study the characteristic parameters of the designed spectrum.