By Andre Preumont, Kazuto Seto
With energetic keep an eye on of buildings , worldwide pioneers current the cutting-edge within the thought, layout and alertness of lively vibration keep watch over. because the call for for prime functionality structural structures raises, so will the call for for info and innovation in structural vibration keep an eye on; this ebook presents an efficient treatise of the topic that would meet this requirement. The authors introduce lively vibration keep an eye on by using shrewdpermanent fabrics and constructions, semi-active keep watch over units and various suggestions concepts; they then speak about issues together with tools and units in civil buildings, modal research, energetic keep an eye on of high-rise constructions and bridge towers, lively tendon regulate of cable buildings, and lively and semi-active isolation in mechanical buildings.
energetic keep an eye on of constructions:
- Discusses new forms of vibration keep watch over tools and units, together with the newly constructed reduced-order actual modelling technique for structural keep watch over;
- Introduces triple high-rise constructions hooked up via lively keep watch over bridges as devised through Professor Seto;
- Offers a layout approach from modelling to controller layout for versatile buildings;
- Makes prolific use of useful examples and figures to explain the subjects and know-how in an intelligible demeanour.
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Extra info for Active Control of Structures
Example text
F. increases to ∞: lim (K + gbbT ) − ω02 M x0 = 0. 2 Nearly Collocated Control System In many cases, the actuator and sensor pair are close to each other without being strictly collocated. This situation is examined here. 9 where the actuator input u is applied at a and the sensor y is located at s. 70) where φi (a ) and φi (s) are the modal amplitudes at the actuator and the sensor locations, respectively (the sum includes all the normal modes in this case). 70) are no longer guaranteed to be positive; however, if the actuator location a is close to the sensor location s, the modal amplitudes φi (a ) and φi (s) will be close to each other, at least for the low-frequency modes, and the corresponding residues will again be positive.
G. G´eradin and Rixen, 1997) ωl = 2 π (2l − 1) k sin , m 2 (2n + 1) l = 1, . . 142) where n is the number of stories. 143) where g is the scalar gain and h(s) is the scalar control law, common to all the loops. According to the foregoing discussion, the transmission zeros are the natural frequencies of the system obtained by constraining (blocking) the first two floors. 142) can therefore be used to evaluate the zeros as well, after setting the number of stories to n − 2. 31 shows the root locus for a positive position feedback as in Høgsberg and Krenk (2006), h(s) = −1 .
75) , where bT φi is the modal amplitude at the actuator/sensor location. This corresponds, typically, to a point force actuator collocated with a displacement sensor, or a torque actuator collocated with an angular sensor. 14 Open-loop pole/zero pattern and root locus of the lead compensator applied to a structure with collocated actuator/sensor (open-loop transfer function with two more poles than zeros). 15 Block diagram of the lead compensator applied to a structure with collocated actuator/sensor (open-loop transfer function G(s) with two more poles than zeros) roll-off rate s −2 (a feedthrough component would introduce an additional pair of zeros).