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Reduction of steady‐state forced vibrations of structures with dynamic absorbers
Author(s) -
Klasztorny Marian
Publication year - 1995
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.4290240808
Subject(s) - reduction (mathematics) , modal , excitation , vibration , dynamic vibration absorber , harmonic , stiffness , modal analysis , steady state (chemistry) , structural engineering , amplitude , engineering , control theory (sociology) , physics , acoustics , computer science , mathematics , materials science , optics , geometry , chemistry , control (management) , artificial intelligence , polymer chemistry , electrical engineering
In the paper the problem of reduction of the steady‐state response of a lightly damped structure to periodic excitation is considered. The primary structure, which has arbitrary distributions of mass, stiffness and damping, is subjected to periodic load with the fundamental frequency varying in a wide range that may include several resonant peaks of the amplitude‐frequency response. A number of passive absorbers are applied simultaneously to the main structure. A general formulation of the dynamic absorber design methodology is presented, based on independent design of conventional absorbers, taking into account the selected modal systems of the original structure and the selected harmonic components of the excitation. In order to cover the losses in the vibration reduction, resulting from the couplings in the primary structure–the set of absorbers system and from the remaining harmonic components of the excitation, the mass of modal dynamic absorbers is increased properly. The methodology developed was verified on several numerical examples; one of them is presented in the study.