RELATIONS BETWEEN AMPLITUDE FOURIER SPECTRA AND SPECTRA OF MAXIMUM REACTIONS (RESPONSE SPECTRA) TO EARTHQUAKES

Abstract

The paper notes the relevance of introducing into practice the calculations of structures on seismic effects of methodologically sound initial data - reaction spectra. In the course of the work, the concepts of pseudo-spectra of responses in displacements, speeds, and accelerations are formulated. The results of determining the relationship between the amplitude Fourier spectra and the spectra of the maximum reactions of systems with damping equal to zero are presented. Relations between the spectra Fourier and response spectra for systems with viscous damping are obtained, similar to the dependences between the Fourier spectra and the response spectrum for non-damped systems (Kawasumi, 1956; Rubin, 1961; Hudson, 1962; Jennings, 1972). In contrast to the work “Damped Fourier Spectrum and Response Spectra” (Idvadia and Trifunak, 1973), the functional Damped Fourier spectrum is not used in our work. The classic Fourier transform is used.