Premium
Calculation of selected ordinates of fourier spectra
Author(s) -
Jennings Paul C.
Publication year - 1973
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290020307
Subject(s) - superposition principle , fourier transform , spectral line , relation (database) , fourier analysis , mathematical analysis , ordinate , mathematics , interpretation (philosophy) , fourier series , geometry , physics , computer science , data mining , astronomy , programming language
A method is presented for calculating single or, by repeated use, selected ordinates of Fourier spectra rapidly and efficiently. The approach differs from standard methods in that any frequency consistent with the interval of digitization may be chosen and records of arbitrary length may be analysed. The method is based on the relation between Fourier spectra of an accelerogram and the final response of an undamped oscillator to the same accelerogram. This relation is reviewed and extended to aid the development of the computing method and to assist in the interpretation of Fourier spectrum techniques in earthquake engineering. Because only the terminal values of the response of an undamped oscillator are required to define the Fourier spectra, repeated application of superposition is used to form equivalent excitations with durations of only one‐quarter of the period of the oscillator.