Active Control of Structures - download pdf or read online

System Theory

By Andre Preumont, Kazuto Seto

ISBN-10: 0470033932

ISBN-13: 9780470033937

With energetic regulate of constructions , worldwide pioneers current the cutting-edge within the concept, layout and alertness of energetic vibration regulate. because the call for for top functionality structural platforms raises, so will the call for for info and innovation in structural vibration keep an eye on; this publication presents an efficient treatise of the topic that may meet this requirement. The authors introduce lively vibration keep watch over by using shrewdpermanent fabrics and buildings, semi-active regulate units and various suggestions ideas; they then talk about issues together with equipment and units in civil buildings, modal research, energetic keep watch over of high-rise constructions and bridge towers, lively tendon regulate of cable buildings, and energetic and semi-active isolation in mechanical constructions.

energetic regulate of buildings:

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

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Additional resources for Active Control of Structures

Example text

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 . 115) Since bT φi is the modal extension of the strut, when the structure vibrates according to mode i, 12 (bT φi )2 K a is the modal strain energy in the strut.

For small gains, one may assume that it is diagonally dominant, diag{(bT φi )2 }. This assumption leads to a set of decoupled equations. Mode i is governed by μi z¨i + g(bT φi )2 z˙i + μi ωi2 zi = 0. 125), and vice versa. f. 86) or ξi = g(bT φi )2 . e. the departure rate from the open-loop poles) is controlled by (bT φi )2 , the square of the modal amplitude at the actuator/sensor location. Now let us examine the asymptotic behavior for large gains. 83) is (Ms 2 + gbbT s + K )x = 0. 88) It follows that x = −(K + Ms 2 )−1 gsbbT x or bT x = −gsbT (K + Ms 2 )−1 bbT x.

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 . In this case, the transmission zeros are seen as the asymptotic solutions of lim [Ms 2 + K + g B B T ]x = 0. f. involved in the control. f. f. involved in the control are blocked.

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Active Control of Structures by Andre Preumont, Kazuto Seto

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