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The method is based on the modal method.
Response spectra analysis based on the modal superposition method is restricted to linear elastic analysis.
This approach, being based on the modal testing results, is a posterior improvement.
The control action proposed, based on the modal approach, consists of two contributions.
Most of the modern techniques for vibration analysis are based on the modal approach.
A simplified formula for the load estimation is proposed based on the modal approach and the energy balance.
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The structural damping is quantified and evaluated based on the extracted modal frequency and modal damping ratio, and Rayleigh damping coefficients and are experimentally obtained.
Finally, since initial modal states are hardly known in advance, the LMI formulation, based on the augmented modal state space, including unstable modal states, its estimation error and fast modal output, is developed to maximize the region of attraction (ROA) for the real process state, such that the controller and the observer are robust enough to the error in the initial state guess.
Implementation of a Delayed Modal Velocity Feedback Control (DMVFC) based on the obtained modal state-space model was carried out for the full-scale lightweight bridge.
The wavelengths of the modal shapes are determined using spectrum analysis method based on the computed modal shapes of the cantilever deck.
Based on the quasi-modal sensor and quasi-modal actuator, the independent modal control is performed approximately to control the vibration of smart shells.
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