基于滞回曲线数据的抗震性能分析:指标定义、算法优化与程序实现

SEISMIC PERFORMANCE ASSESSMENT BASED ON HYSTERESIS CURVES: INDEX DEFINITION, ALGORITHM OPTIMIZATION AND AUTOMATIC IDENTIFICATION

  • 摘要: 滞回曲线被广泛应用于评估工程结构或构件的抗震性能,是工程抗震试验数据分析的核心内容。虽然研究对象不尽相同,但滞回曲线的数据分析过程和关键性能指标基本相同。该文对基于滞回曲线的主要抗震性能指标进行综述,指出部分抗震指标定义及算法中存在的不明确、不统一、难以程序化分析等问题,并对这些抗震指标进行准确定义和算法优化,主要包括:针对骨架曲线提出了凹包法等方法,针对屈服点提出了修正最远点法,针对滞回耗能提出了有向能量耗散算法,针对滞回曲线特征提出了曲线形状相似度评价方法。在此基础上,在MATLAB中编制了滞回曲线自动分析程序,利用文献中的滞回曲线数据验证了程序的有效性,通过自动准确提取关键性能指标,实现了基于滞回曲线数据的抗震性能程序化分析。

     

    Abstract: Hysteresis curves are widely used in the seismic performance assessment of structural systems and members. In the literature on earthquake engineering, most experimental studies involved the analysis of hysteresis curves. Although the research background and objectives may differ, these studies somehow adopted the same methods in analyzing the hysteresis curves. This paper reviews the primary seismic performance indexes based on hysteresis curves, on their definition, on calculation methods, and on limitations. Then, we endeavored to clarify the vague definitions and optimized the calculation algorithms of these indexes. In particular, we proposed a concave hull method for extracting skeleton curves, a directed energy dissipation method, a modified farthest point method, and a method for evaluating the similarity of hysteresis curve shapes. An automatic program for analyzing hysteresis curves is implemented in MATLAB and, validated against the literature's hysteresis curve data. The results illustrated the improved clarity and wide applicability of the indexes proposed and, justified the efficiency and accuracy of the algorithms proposed for identifying these indexes.

     

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