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Earthquakes and Structures
  Volume 6, Number 6, June 2014, pages 647-664
DOI: http://dx.doi.org/10.12989/eas.2014.6.6.647
 


Seismic response of active or semi active control for irregular buildings based on eigenvalues modification
Nikos G. Pnevmatikos and George D. Hatzigeorgiou

 
Abstract
    A reduction of the response of irregular structures subjected to earthquake excitation by control devices equipped by suitable control algorithm is proposed in this paper. The control algorithm, which is used, is the pole placement one. A requirement of successful application of pole placement algorithm is a definition-selection of suitable poles (eigen-values) of controlled irregular structures. Based on these poles, the required action is calculated and applied to the irregular structure by means of control devices. The selection of poles of controlled irregular structure, is a critical issue for the success of the algorithm. The calculation of suitable poles of controlled irregular structure is proposed herein by the following procedure: a fictitious symmetrical structure is considered from the irregular structure, adding vertical elements, such as columns or shear walls, at any location where is necessary. Then, the eigen-values of symmetrical structure are calculated, and are forced to be the poles of irregular controlled structure. Based on these poles and additional damping, the new poles of the controlled irregular structure are calculated. By pole placement algorithm, the feedback matrix is obtained. Using this feedback matrix, control forces are calculated at any time during the earthquake, and are applied to the irregular structure by the control devices. This procedure results in making the controlled irregular structure to behave like a symmetrical one. This control strategy can be applied to one storey or to multi-storey irregular buildings. Furthermore, the numerical results were shown that with small amount of control force, a sufficient reduction of the response of irregular buildings is achieved.
 
Key Words
    structural control, pole placement, irregular structures, earthquake engineering
 
Address
Nikos G. Pnevmatikos: Department o Civil Engineering, Surveying and Geoinformatics, Technological Educational Institution of Athens, Ag. Spyridonos Str., P.O. 12210 Egaleo-Athens, Greece

George D. Hatzigeorgiou: Hellenic Open University, Director of Post-Graduate Program: Engineering Project Management, Parodos Aristotelous 18, GR-26335, Patras, Greece
 

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