By Andre Preumont, Kazuto Seto
With lively keep an eye on of buildings , international pioneers current the state of the art within the thought, layout and alertness of energetic vibration regulate. because the call for for prime functionality structural platforms raises, so will the call for for info and innovation in structural vibration keep an eye on; this booklet presents an efficient treatise of the topic that might meet this requirement. The authors introduce energetic vibration regulate by using clever fabrics and buildings, semi-active keep an eye on units and numerous suggestions suggestions; they then talk about issues together with tools and units in civil constructions, modal research, lively keep watch over of high-rise constructions and bridge towers, energetic tendon regulate of cable constructions, and lively and semi-active isolation in mechanical buildings.
energetic regulate of buildings:
- Discusses new forms of vibration keep an eye on tools and units, together with the newly built reduced-order actual modelling strategy for structural keep watch over;
- Introduces triple high-rise structures hooked up by way of lively keep watch over bridges as devised via Professor Seto;
- Offers a layout approach from modelling to controller layout for versatile constructions;
- Makes prolific use of useful examples and figures to explain the themes and know-how in an intelligible demeanour.
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Additional info for Active Control of Structures
However, guaranteed stability does not mean guaranteed performance; good performance does require information on the system as well as on the disturbance applied to it, for appropriate actuator/sensor placement, actuator sizing, sensor selection and controller tuning. Actuator placement means good controllability of the dominant modes; this will be reflected by well-separated poles and zeros, leading to wide loops in the root-locus plots. In order to keep the formal complexity to a minimum, we will assume no structural damping and perfect actuator and sensor dynamics throughout most of this section.
2 l. 1 l ). The abscissa is the sensor location, and the ordinate is the frequency of the transmission zero value, is called a pole/zero flipping. Similarly, z3 flips with ω4 for s = l/4, z2 flips with ω3 for s = l/3, and z1 flips with ω2 for s = l/2. Examining the mode shapes, one notices that the pole/zero flipping always occurs at a node of the mode shapes, and this corresponds to a change of sign in φi (a )φi (s), as discussed above. This simple example illustrates the behavior of the pole/zero pattern for nearly collocated control systems: the poles and zeros are still interlacing at low frequency, but not at higher frequency, and the frequency where the interlacing stops decreases as the distance between the actuator and sensor increases.
Proceeding as before, the transmission zeros of the system are the values s0 such that an input u = u0 e s0 t (t ≥ 0) applied with appropriate initial conditions x0 produces a system response x = x0 e s0 t and a system output y = 0. 149) or Ms02 + K −B K a BT −I x0 u0 = 0. 151) and the condition for a non-trivial solution is det(Ms02 + K − B K a B T ) = 0. 152) is the characteristic equation of the system after removing the contribution of the active members to the global stiffness matrix. Thus, the transmission zeros are the poles (natural frequencies) of the system where the contribution of the active members to the stiffness matrix has been removed; their number is equal to the number of poles.