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Dynamic response analysis in the frequency domain
Author(s) -
Humar J. L.,
Xia Hong
Publication year - 1993
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.4290220102
Subject(s) - frequency domain , aliasing , impulse response , frequency response , discrete frequency domain , transfer function , computer science , degrees of freedom (physics and chemistry) , time domain , control theory (sociology) , fourier transform , fourier analysis , function (biology) , describing function , response analysis , algorithm , mathematics , mathematical analysis , engineering , physics , nonlinear system , control (management) , quantum mechanics , artificial intelligence , evolutionary biology , undersampling , electrical engineering , computer vision , biology , structural engineering
Analysis in the frequency domain using discrete Fourier transforms is an efficient means of calculating the dynamic response of linear systems. In fact, for systems with frequency dependent parameters and also in those cases where the complex frequency response functions are more easily determined, frequency domain analysis may be the only effective means of determining the dynamic response. The use of discrete transforms along with finite summation requires that the forcing function and the impulse function be converted into periodic forms. This modification may introduce unacceptable errors in the results of analysis, unless appropriate steps are taken to avoid or minimize the effect of aliasing or overlapping. For single‐degree‐of‐freedom systems, procedures that will eliminate the effect of aliasing have already been developed. However, problems related to frequency domain analysis still exist for multi‐degree‐of‐freedom systems with non‐proportional damping, in analysis through substructuring and in those cases where a continuum solution is involved. A new procedure which addresses these problems and is applicable to both single‐ and multi‐degree‐of‐freedom system as well as to analysis through substructuring is presented here.