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Green's function of support‐excited structures with tuned‐mass dampers derived by A perturbation method
Author(s) -
Tsai HsiangChuan
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.4290221105
Subject(s) - damper , tuned mass damper , vibration , perturbation (astronomy) , structural engineering , control theory (sociology) , engineering , damping ratio , physics , beat (acoustics) , damping torque , transient response , mechanics , computer science , acoustics , direct torque control , control (management) , electrical engineering , quantum mechanics , voltage , artificial intelligence , induction motor
A tuned‐mass damper is a small damped spring‐mass system which vibrates in resonance with the main structure to which it is attached so as to be able to dissipate vibration energy and reduce the structural response. In this paper, explicit forms of Green's function for the transient response of main structures equipped with the tuned‐mass damper and subjected to support excitation are derived by perturbation techniques and provide an insight into the characteristics of the damper. It is found that there exists a critical damping level for the tuned‐mass damper. If the damper damping is higher than this critical damping level, increasing the damper damping will enhance the structural response. When the damper damping is below this critical value, something called ‘beat phenomenon’ occurs where the structure will have a smaller response in the first beat cycle, but have a higher rebound in the following beat cycles.