Abstract
In this paper, we investigate the control of 2D flexible structures by vibration confinement and the regulation of their energy flow along prespecified spatial paths. A discretized-model-based feedback strategy, aiming at confining and suppressing simultaneously the vibration, is proposed. It is assumed that the structure consists of parts that are sensitive to vibrations. The control design introduces a new pseudo-modal matrix derived from the computed eigenvectors of the discretized model. Simulations are presented to show the efficacy of the proposed control law. A parametric study is carried out to examine the effects of the different control parameters on the simultaneous confinement and suppression of vibrations. In addition, we conducted a set of simulations to investigate the flow control of vibrational energy during the confinement-suppression process. We found that the energy flow can be regulated via a set of control parameters for different confinement configurations.
Highlights
Flexible structures can undergo vibratory motion that results from an initial energy distribution, persistent excitation, or both
We propose that the pseudo-modal matrix be determined using the eigenvectors associated with the Harmonic Quadrature Method (HQM)-discretized model
We propose a new form of the pseudo-modal matrix Q N constructed with the aid of the HQM
Summary
Flexible structures can undergo vibratory motion that results from an initial energy distribution, persistent excitation, or both. Song and Jayasuriya [11] developed an algorithm for eigenvector assignment where the specification of special mode shapes was shown to alter the distribution of the vibrational energy. Choura and Yigit [17] developed a control strategy for the confinement of vibrations in flexible structures This strategy is based on applying distributed feedback to continuous structures. To the best of our knowledge, no research studies have investigated the confinement of vibrations and the flow control of vibrational energy in flexible structures. We propose a design strategy for the confinement and flow control of vibrations in 2D flexible structures. The use of the resulting pseudo-modal matrix is contrasted to classical pseudo-modal matrices Another set of simulations is conducted to demonstrate the possibility of controlling the flow of vibrational energy
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