基于希尔伯特-黄变换与谱匹配优化的非结构动力分析激励生成方法研究

RESEARCH ON EXCITATION GENERATION METHOD FOR DYNAMIC ANALYSIS OF NONSTRUCTURAL COMPONENTS BASED ON HILBERT-HUANG TRANSFORM AND SPECTRAL MATCHING OPTIMIZATION

  • 摘要: 在非结构抗震分析中,解耦分析是目前的主流方法。其中将与设计谱匹配的激励作为输入,具有节省计算资源,减小离散性等优点,能够显著提高非结构构件数值分析的效率。基于此,本研究综合应用希尔伯特-黄变换、遗传算法及单目标优化方法,提出了一种能精确匹配目标谱的激励时程生成方法,并通过建立复合误差函数模型,引入双指标动态调控机制,显著提高了算法收敛速度及全频段谱匹配精度。选取已知文献中典型柱壳结构跨中节点5%阻尼比的三向加速度反应谱作为目标谱进行数值验证,结果表明该方法能同时精确匹配规则与不规则谱形特征的目标谱,并有效保留地震动的非平稳特性。本文提出的激励生成方法可为形式复杂的大跨结构中非结构构件精细化抗震性能研究提供可靠的输入条件,也为面向复杂谱形反应谱匹配优化的激励生成方法构建提供了参考。

     

    Abstract: In seismic analysis of non-structural components (NSCs), decoupled analysis has become a prevailing approach. Among the available strategies, the use of response-spectrum-matched excitation records as input offers notable advantages, including reduced computational cost and lower dispersion in analysis results, thereby substantially improving the efficiency of NSC numerical analysis. To this end, this study proposes an excitation generation method for seismic response analysis of NSCs. By integrating Hilbert-Huang transformation, genetic algorithms, and single-objective optimization techniques, the proposed method generates excitation time histories that precisely match target spectra. A composite error function model and a dual-objective dynamic control mechanism are introduced to significantly enhance the convergence speed and spectral matching accuracy over the full frequency range. For numerical validation, the tri-axial acceleration response spectra with a 5% damping ratio of a typical cylindrical shell structure are adopted as the target spectra. Results demonstrate that the proposed method can accurately match the target spectra with both regular and irregular spectral characteristics while effectively preserving the non-stationary nature of generated ground motions. The proposed method provides reliable seismic input for refined performance assessment of NSCs in complex-shaped long-span structures, and also offers methodological reference for the development of excitation generation approaches optimized for response spectrum matching involving complex spectral shapes.

     

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