FRACTAL CHARACTERISTICS OF PHASE SPECTRUM OF EARTHQUAKE MOTION
FRACTAL CHARACTERISTICS OF PHASE SPECTRUM OF EARTHQUAKE MOTION
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DOI：
10.1142/s1793431113500103
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发表时间：
2013-08
影响因子：
1.5
通讯作者：
Tadanobu Sato
中科院分区：
文献类型：
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作者：
Tadanobu Sato
本研究的目的是明确地震运动的相位谱特征。在介绍了以往的研究成果之后，我们引入了分数布朗过程（FBP）的概念。提出了一种简单的方法来确定 Hurst 指数和以 FBP 为特征的给定过程的方差。我们发现，地震运动的相位特征可以用这个过程来表示，它是具有恒定相关系数的圆频率的非平稳函数。使用几个观测到的地震运动，我们证明了这一事实，并展示了新发现的结果模拟真实地震运动阶段的效率，并将模拟地震运动与观测到的地震运动进行了比较。我们还通过使用已确定的赫斯特指数和给定地震运动的方差来模拟地震运动相位，来模拟设计响应谱兼容的地震运动。我们研究了震源距离对地震运动相位方差和赫斯特指数的影响，以及对地震运动相位相对于圆频率的平均梯度的影响。
The purpose of this research is to make clear the phase spectrum characteristic of earthquake motion. After the introduction of past researches we introduce the concept of fractional Brownian process (FBP). A simple method is proposed to determine the Hurst index and the variance of a given process characterized by the FBP. We find that the phase characteristic of earthquake motion can be expressed by this process which is a non-stationery function of the circular frequency with a constant correlation coefficient. Using several observed earthquake motion we demonstrate this fact and show the efficiency of newly founded result to simulate realistic earthquake motion phase and also compare simulated earthquake motions with those of observed ones. We also simulate design response spectrum compatible earthquake motions by simulating the earthquake motion phase using the identified Hurst index and variance of the given earthquake motion. We investigate the effect of hypocenter distance on the variance and Hurst index of earthquake motion phase, as well as on the mean gradient of earthquake motion phase with respect to the circular frequency.