Premium
Damped vibration mode superposition method for dynamic response analysis
Author(s) -
Itoh Tetsuji
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.4290020105
Subject(s) - superposition principle , vibration , damping matrix , mode (computer interface) , normal mode , fast fourier transform , fourier transform , response analysis , structural engineering , matrix (chemical analysis) , finite element method , control theory (sociology) , engineering , acoustics , physics , computer science , mathematical analysis , mathematics , stiffness matrix , materials science , algorithm , control (management) , composite material , artificial intelligence , operating system
In the dynamic response analysis of extremely complex structural systems in which the damping characteristics of each element are independent, the damping matrix is not always diagonalized by the use of undamped free vibration mode shapes. In the present paper, a mode‐superposition method by the use of damped free vibration mode shapes is developed for such structural systems. It is also shown that the Fast Fourier Transform (FFT) procedures, that are available for the dynamic response analysis of linear structural systems, are used effectively in this mode‐superposition method with good accuracy.