Series expansion of complex ground amplifications with a sequence of simple transfer functions

摘要: SUMMARY Amplification of earthquake ground motions at actual deposit sites is an important factor to consider when assessing the risk disaster. In order identify amplification properties, several preprocessings such as Fourier transform are required. I propose a series expansion with simple transfer functions new preprocessing. define sequence based on two-layered structure excluding internal damping and function space spanned by set functions. mathematically prove that equal L2 space. This indicates all belonging space, is, arbitrary amplification, have unique expansion. applied physics-based decomposition amplification. Some numerical examples indicate similarity between target complex model measured absolute value each coefficient in Copyright © 2014 John Wiley & Sons, Ltd.