Compare between rotational and translational seismic response spectra

Abstract

Abstract Rotational response spectra are still absent due to the substantial lack of direct measurements of rotational seismic waves. The work develops a relationship between rotational response spectra and translational ones. By the elastic wave theory, seismic rotations can be calculated form translational waves. In this paper, 113 translational waves are used to calculating rotational waves. And then the translational response spectra and rotational response spectra are calculated and compared. Factors such as the site condition and frequency are considered. The results show that from lower frequency to higher frequency, the ratio of normalized response spectra between rotational and translational waves increases. The ratios are also related to the site condition.