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Earthquake acceleration analysis using wavelet method
Earthquake Engineering and Engineering Vibration ( IF 2.8 ) Pub Date : 2021-01-11 , DOI: 10.1007/s11803-021-2009-8
Ali Heidari , Noorollah Majidi

There are several methods for analyzing the acceleration of an earthquake. In this research, a discrete wavelet theory based on the Mallat method was employed to analyze the acceleration of earthquake records. For this purpose, first, the acceleration of the main earthquake was determined using the method of banding, filtering and correction of a filtered wave. Then, the acceleration of the earthquake up to five stages was decomposed using discrete wavelet theory. In this method, in which the Down-Sampling rule is utilized in each step, the number of earthquake record points is half past. Each of the waveforms was based on the acceleration of the maximum original earthquake, and the maximum acceleration in all the waves was identical. For each of the five waves obtained from wavelet decomposition, the velocity curve and ground acceleration are obtained and compared with each other. Finally, a structure was analyzed using the main wave of the earthquake and each of the waveforms was analyzed in five stages and their dynamic response curves were compared. The results showed that until the third stage of the wavelet decomposition, the error was insignificant and the dynamic response to the magnitude of the earthquake was small. The analysis time is about 10% of the analysis time with the main wave, and the error is less than 6%.



中文翻译:

小波法分析地震加速度

有几种分析地震加速度的方法。在这项研究中,基于Mallat方法的离散小波理论被用来分析地震记录的加速度。为此,首先,使用频带,滤波和滤波波校正的方法确定主震的加速度。然后,利用离散小波理论将地震的加速过程分解为五个阶段。在此方法中,在每个步骤中都使用了下采样规则,地震记录点的数量是过去的一半。每个波形均基于最大原始地震的加速度,并且所有波中的最大加速度均相同。对于从小波分解获得的五个波中的每个,得到了速度曲线和地面加速度并进行了比较。最后,使用地震主波对结构进行了分析,并分五个阶段对每个波形进行了分析,并比较了它们的动态响应曲线。结果表明,直到小波分解的第三阶段,误差是很小的,对地震烈度的动态响应很小。分析时间约为主波分析时间的10%,误差小于6%。误差很小,并且对地震强度的动态响应很小。分析时间约为主波分析时间的10%,误差小于6%。误差很小,并且对地震强度的动态响应很小。分析时间约为主波分析时间的10%,误差小于6%。

更新日期:2021-01-11
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