Download Active Control of Structures by Andre Preumont, Kazuto Seto PDF

By Andre Preumont, Kazuto Seto

With lively keep watch over of buildings , worldwide pioneers current the state of the art within the conception, layout and alertness of energetic vibration keep an eye on. because the call for for prime functionality structural platforms raises, so will the call for for info and innovation in structural vibration keep watch over; this booklet presents a good treatise of the topic that might meet this requirement. The authors introduce energetic vibration keep an eye on by using shrewdpermanent fabrics and constructions, semi-active keep an eye on units and quite a few suggestions thoughts; they then speak about themes together with equipment and units in civil buildings, modal research, lively keep watch over of high-rise structures and bridge towers, energetic tendon keep watch over of cable buildings, and energetic and semi-active isolation in mechanical constructions.

energetic regulate of buildings:

  • Discusses new different types of vibration keep watch over equipment and units, together with the newly constructed reduced-order actual modelling technique for structural keep watch over;
  • Introduces triple high-rise constructions hooked up by means of energetic keep watch over bridges as devised through Professor Seto;
  • Offers a layout method from modelling to controller layout for versatile constructions;
  • Makes prolific use of sensible examples and figures to explain the subjects and expertise in an intelligible demeanour.

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Additional info for Active Control of Structures

Example text

102), M¨x + (K + bbT K a )x = bK a ga u. 107) In this formula, K is the stiffness matrix of the truss without the active strut and bbT K a is the contribution of the active strut to the global stiffness matrix. The mass of the active strut can be added to M if necessary; the damping term has been omitted for simplicity. 21). 4 4 In thermal problems, the thermal deformations may be computed by applying a set of self-equilibrated thermal loads K a α T, where α is the thermal expansion coefficient and T the temperature difference.

OTE/SPH JWBK269-01 OTE/SPH September 26, 2008 13:57 Printer Name: Yet to Come 38 Active Damping Open-loop transfer function The output equation follows from the constitutive equations: y = f = K a (bT x − ga u). e. 109) and satisfy the orthogonality conditions φiT Mφ j = μi δi j , φiT (K + bbT K a )φ j = μi ωi2 δi j . 112) or, in the Laplace domain, zi = φiT b K a ga u. 108), y = Ka ( n zi bT φi − ga u) = K a [ i=1 n i=1 (bT φi )2 K a − 1]ga u. 114) Thus, the open-loop transfer function of the system is y = G(s) = K a ga u n i=1 (bT φi )2 Ka − 1 .

137) OTE/SPH JWBK269-01 OTE/SPH September 26, 2008 13:57 Printer Name: Yet to Come Decentralized Control with Collocated Pairs 49 s0 is the eigenvalue and u0 is the shape of the control input. 138) where H(s) is a square matrix and g is a scalar parameter (the discussion is not restricted to decentralized control). 138): [Ms 2 + K + g B H(s)B T ]x = 0. 139) coincide with the transmission zeros defined above, for any form of H(s) (not necessarily diagonal). 139) do not depend on H(s), they can be computed with H(s) = I .

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