1.Mathematical analysis for mechanics problem: forward- and inverse-modeling in civil engineering

[11006-10-05] on a new non-gaussian phenomenon in the civil engineering fields (Proceedings of Symposium on Applied Mechanics)

*Tadanobu SATO¹ (1. Kyoto University)

Keywords:Phase characteristics obtained from acceleration records, mean phase gradient, non-Gaussian, Correlation characteristics of mean phase gradient, Fractal properties of mean phase gradient, levy-flight distribution function

we introduce a new non-gaussian phenomenon in the civil engineering fields. we develop a method to calculate the earthquake motion phase as a function of the circular frequency without the unwrap procedure. we define a mean phase gradient (mpg) by dividing the phase difference with its circular frequency interval. we discuss the probability density function of the mpg and find to obey the levy-flight distribution, which means that the mpg is non-gaussian. we compare the autocorrelation characteristics of the mgp obtained from an observed acceleration time history and theoretically obtained characteristics by using the fractional levy-flight process.