Affiliations: Robotics and Intelligent Systems Laboratory,
Department of Mechanical Engineering and Materials Science, Rice University,
Houston, TX 77005-1892, USA | Applied Mechanics and Systems Research Laboratory,
Tunisia Polytechnic School, B.P. 743, La Marsa 2078, Tunisia | Department of Engineering Science and Mechanics, MC
0219, Virginia Tech, Blacksburg, VA 24061, USA
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.
Keywords: Confinement of vibration, 2D flexible structures, pseudo-modal matrix, flow control of vibrational energy
