학술논문

DIFFERENTIABILITY OF PHASE SPECTRUM OF EARTHQUAKE GROUND MOTION AND IMPROVEMENT OF NUMERICAL CALCULATION OF GROUP DELAY TIME: A SUPPLEMENTARY WORK / 地震動位相の微分可能性に関する補足と群遅延時間の平均・標準偏差の計算方法の改良
Document Type
Journal Article
Source
土木学会論文集A1(構造・地震工学) / Journal of Japan Society of Civil Engineers, Ser. A1 (Structural Engineering & Earthquake Engineering (SE/EE)). 2022, 78(4)737
Subject
average
differentiability
ground motion
group delay time
phase
standard deviation
Language
Japanese
ISSN
2185-4653
Abstract
A supplementary formulation was added to the author’s previous study regarding the differentiability of ground motion phase. An intuitive explanation was also added. As a result, it was clarified that ground motion phase is differentiable with respect to angular frequency and group delay time can be defined as long as the Fourier amplitude is nonzero. Also, to cope with numerical difficulty in calculating group delay time, the author devised a new, numerically stable method which can calculate both the mean and standard deviation of the group delay time.

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