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CQC modal combination rule for high‐frequency modes
Author(s) -
Kiureghian Armen Der,
Nakamura Yutaka
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.4290221103
Subject(s) - modal , bandwidth (computing) , modal testing , truncation (statistics) , frequency band , modal analysis , modal analysis using fem , frequency response , measure (data warehouse) , mode (computer interface) , structural engineering , acoustics , computer science , mathematics , algorithm , engineering , physics , statistics , telecommunications , finite element method , data mining , electrical engineering , chemistry , polymer chemistry , operating system
The CQC rule for modal combination is extended to include the quasi‐static contribution of truncated modes and the effects of input narrow‐bandedness and cut‐off frequency. A simple measure of the error in approximating a high‐frequency modal response by its quasi‐static contribution is derived. The extended rule is applicable to structures with high‐frequency modes and to seismic inputs which may not be regarded as wide band. Numerical examples demonstrate the significance of input bandwidth and cut‐off frequency on modal cross‐correlation coefficients, and on the error resulting from truncation of high‐freqeuncy modes.