Active Structural Control: Theory and Practice (Longman by T. T. Soong

By T. T. Soong

Lively structural keep watch over capacity making buildings attentive to exterior forces like earthquakes and hurricanes. Large-scale experimentation is now occurring during this box and this booklet brings jointly a wealth of data at the perform and idea of energetic structural keep watch over. in addition to documenting the latest advances within the box, the booklet additionally seems to be on the speedy improvement in allied applied sciences reminiscent of electronics, fabrics and dimension strategies, that have fuelled the expansion of this zone.

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Units for all physical quantities will not be specified since only comparative studies are performed here. ,.. 2 The uncontrolled two-storey structural system is assumed to be described by i(t) = Az(t) + hf(t) where 0 h= 0 and f(t) = 3 sin wt + 5 sin 2wt + 7 sin 3wt + 4 sin 4wt which is a crude representation of a wind-type excitation acting on both floors. 309. This choice of w (which is close to the first frequency of the structure) is deliberate. The intent is to dramatize the effect of control.

Deviation of u2 ( t) 5 As a result, it is more important to control or reduce X 2 ( t ). Supposing that we can only install one controller in the building, the question of whether it should be placed on the first floor or on the second floor is of practical importance. 12 as solid curves. For the 26 . 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.

3. 4 Independent Modal Space Control (IMSC) As the name implies. control system design based on IMSC takes place in the modal space. To facilitate discussions, let us depart temporarily from the state-space representation and return to the traditional configuration space for this development. Assuming that a structure possesses normal modes, it is well known that the equations of motion of an It-degree-of-freedom system can be decomposed into a system of ll decoupled single-degree-of-freedom systems in modal coordinates.

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