By T. T. Soong

ISBN-10: 0582017823

ISBN-13: 9780582017825

Energetic structural keep watch over capability making buildings attentive to exterior forces like earthquakes and hurricanes. Large-scale experimentation is now occurring during this box and this publication brings jointly a wealth of data at the perform and thought of lively structural keep an eye on. in addition to documenting the newest advances within the box, the booklet additionally seems on the quick improvement in allied applied sciences reminiscent of electronics, fabrics and dimension concepts, that have fuelled the expansion of this sector.

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Additional resources for Active Structural Control: Theory and Practice (Longman structural engineering & structural mechanics series)

Example text

12 as dashed curves. It is observed from these figures that a controller on the second floor requires a smaller control force to achieve a larger reduction in the response variance, a;L(t), while a controller on the first floor requires a larger control force. Consequently, a controller installed on the second floor is more effective in response reduction in this case. 1). The system matrix A defines the open-loop system dynamics and its eigenvalues provide modal damping and stiffness characteristics.

As has been observed in Chapter 2, this modification of the system matrix through active control alters modal damping ratios and frequencies. This is reflected by the fact that the eigenvalues of A+ BG are generally different from those of A. For are related structural systems, these eigenvalues, which we shall denote by pairs conjugate complex in C ratios to the modal frequencies wi and damping by 'I•· •i·=L·W·+J·wJI-C' ! -! - ! 33) Since these closed-loop eigenvalues define the controlled system behaviour, a feasible control strategy is to choose the control gain Gin such a way that the 'I;S take a set of values prescribed by the designer.

72) 45 Acthe structural control: theory and practice and substituting it into Eq. 71 ), it is transformed into a system of second-order modal equations 16 j= 1,2, ... 73) where the subscript j is used to indicate quantities m the jth mode. In particular, the vector v(t), defined by vT(t) = [v 1 (t), ... 73) have the appearance of a set of traditional decoupled modal equations except for the fact that they are in general coupled through the modal control forces v;(t), since each v;(t) usually depends on all the modal coordinates.

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Active Structural Control: Theory and Practice (Longman structural engineering & structural mechanics series) by T. T. Soong


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