RC框架基于典型相关分析的地震动多元破坏势评估

Multivariate damage potential estimation of earthquake ground motions for RC frames based on canonical correlation analysis

为了更加全面地评估地震动对结构的潜在破坏势,考虑多个地震动强度参数和多个结构损伤参数对地震动破坏势的影响,提出一种基于典型相关分析的地震动多元破坏势评估方法。为说明所提方法,以具有不同高度和不同抗震设防水平的16个钢筋混凝土框架结构为研究对象,采用100条真实地震动记录作为地震输入。将与地震动加速度、速度和位移相关的8个地震动强度参数进行对数线性组合,构造成地震动多元强度参数的典型变量。将结构最大层间位移角、整体损伤指数、最大楼层加速度进行对数线性组合,构造成结构多元损伤参数的典型变量。通过使地震动强度参数的典型变量和结构损伤参数的典型变量的相关系数达到最大,获得可以较好评估地震动破坏势的复合地震动参数。研究结果表明:相比于单一地震动参数,复合地震动参数可以更好地评估地震动的破坏势,其与结构损伤的相关性也更强。

A new approach is presented to comprehensively estimate the damage potential of earthquake ground motions based on canonical correlation analysis with consideration of the effects of multiple earthquake intensity parameters and multiple structural damage indices. To illustrate the presented method, a total of 16 reinforced concrete frame structures with different height and seismic fortification levels are used as the study cases. One hundred real ground motion records are selected as the earthquake inputs. Eight earthquake intensity parameters related to the ground motion acceleration, velocity and displacement are linearly combined in the logarithm space as the canonical variable of multiple earthquake intensity measures. The structural damage in terms of maximum interstory drift, global damage index and maximum story acceleration is log-linearly combined as the canonical variable of multiple structural damage indicators. The compound earthquake intensity parameters are then developed through maximumizing the correlation coefficient between the canonical variables of earthquake intensity measures and structural damage indicators, which can well predict the damage potential of earthquake ground motions. The results show that the developed compound earthquake intensity parameter can estimate the damage potential of earthquake ground motions better with much closer correlation to the structural damage than a single earthquake intensity parameter.