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Open‐loop vibration control of elastic structural elements
Author(s) -
Ebrahimi N. D.
Publication year - 1988
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.4290160310
Subject(s) - vibration , vibration control , control theory (sociology) , flexibility (engineering) , loop (graph theory) , engineering , optimal control , control engineering , control (management) , computer science , simple (philosophy) , structural engineering , mathematical optimization , mathematics , physics , acoustics , philosophy , epistemology , statistics , combinatorics , artificial intelligence
This paper discusses a general technique for vibration control of simple, continuous mechanical systems. The discussion involves giving the expressions for the response of an illustrative element (fixed‐free bars) to a sinusoidal disturbance and then formulating the problem of open‐loop vibration control of this system as a mathematical programming problem. The final step uses numerical optimization techniques to find the control forces. When these techniques are used, the amplitude of the system's steady state response is minimized. The discussion also shows that while this method effectively controls the vibration, it has a great deal of flexibility in accomplishing its stated purpose.