考虑持时作用的地震能量表达式

Expression for earthquake energy with duration action taken in to account

由于地震的极度复杂性,目前基于应力法的考虑地震作用的土木工程研究工作相当复杂且误差较大,因此能量法作为一种标量方法应运而生。在评估地震能量强弱时,持时与震级和频率特性一样是一个重要指标,然而目前通用的地震能量表达式没有考虑持时的效应。利用统计方法建立了震级、持时半对数关系表达关系式,与文献提供的数据相比,此方程具有更小的残差和更高的相关系数。地震能量公式经此关系式修正之后,对能量的预测与评估更加准确。本文的结果对于工程抗震、隔震和液化研究具有理论与实际意义。

Research work about civil engineering based on shearing stress method is more complex and usually result in unreasonable errors when earthquake is taken into account, therefore energy method is more and more popular for energy being a scalar variable. Duration is a key index to illustrate quake energy just like magnitude and frequency component does, but it is overlooked in the current expression. A semilog formula is built using statistical method to display the relationship between magnitude and duration. Compared with data from reference, this expression has smaller residuals and bigger correlation coefficient. After corrected by this expression, the formula used to show quake energy will be more precise in prediction and evaluation work. The result of this paper is helpful and constructive in research work on antiseismic, earthquake isolation and liquefaction.