Advanced Structural Dynamics and Active Control of by Wodek Gawronski

By Wodek Gawronski

The booklet provides and integrates the equipment of structural dynamics, identity and regulate right into a universal framework. It goals to create a typical language among structural and keep watch over process engineers.

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Extra info for Advanced Structural Dynamics and Active Control of Structures

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This representation has a long tradition and using it many important results have been derived. The state-space model, on the other hand, is a standard model used by control engineers. Most linear control system analyses and design methods are given in the state-space form. The state-space standardization of structural models allows for the extension of known control system properties into structural dynamics. In this chapter we use both second-order and state-space models, and show their interrelations.

N 2nd . 6. 1. 03¼» B ª0 º «0 » « » «0 » « », «0 » «0 » « » ¬«1 ¼» Standard Models 31 ª1 0 0 0 0 0 º «0 0 0 1 0 0 » . 2 Models in Modal Coordinates Frequently the order of the nodal representation is unacceptably high. For example, it is not uncommon that the number of degrees of freedom of the finite-element model exceeds 1000. Therefore, the nodal state representation is rarely used in structural dynamics. 19), where the number of equations is significantly lower, while the accuracy of the analysis has not suffered.

The figure illustrates that structural response depends greatly on the structural damping. For small damping the impulse response of a structure decays slower than the response for larger damping, see Fig. 11(b). Also, the magnitude of the response is visible in the plots of the magnitude of the transfer function in Fig. 11(c). For small damping the resonance peak is larger than that for larger damping. Finally, the damping impacts the root-mean-square (rms) of the response to white noise. For example, Fig.

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