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ENVELOPE OF GREEN'S FUNCTION FOR STRUCTURAL RESPONSE WITH SLIGHTLY DETUNED VIBRATION ABSORBERS
Author(s) -
TSAI H. C.
Publication year - 1996
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/(sici)1096-9845(199601)25:1<1::aid-eqe517>3.0.co;2-l
Subject(s) - dynamic vibration absorber , vibration , modal , perturbation (astronomy) , transient response , envelope (radar) , modal analysis , natural frequency , acoustics , structural engineering , physics , frequency response , materials science , engineering , telecommunications , electrical engineering , radar , quantum mechanics , polymer chemistry
Abstract Explicit forms of the modal parameters and the envelope of the Green's function for transient response of main structures equipped with vibration absorbers are derived using a perturbation technique and assuming that the natural frequency of the absorber is slightly detuned from that of the main structure. Applying these perturbation solutions, the influence of the absorber parameters on the dynamic response of main structures is investigated and the ratio of the envelope for the main mass with absorber to that without absorber is constructed to provide insight to evaluate the effectiveness of the absorber to diminish the vibrations of main structures.