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Reduction of vibration by control forces
Author(s) -
Warburton G. B.
Publication year - 1989
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.4290180808
Subject(s) - reduction (mathematics) , vibration , control theory (sociology) , excitation , degrees of freedom (physics and chemistry) , resonance (particle physics) , vibration control , control (management) , phase (matter) , engineering , physics , mathematics , computer science , acoustics , geometry , particle physics , quantum mechanics , artificial intelligence , electrical engineering
The concept of reducing vibrations in steady‐state problems by introducing appropriately chosen additional or control forces, which have the same frequency and phase as the original excitation forces, has been the subject of some recent papers. In this paper the normal mode method is used to determine the magnitudes of the control forces. This method is simpler in concept than earlier approaches. It is demonstrated that with a single control force resonant response of multi‐degree‐of‐freedom systems can be reduced substantially, particularly for the fundamental resonance in lightly and moderately damped systems.