A novel Eigenstructure Assignment (ESA) method for vibration confinement of flexible structures has been developed. This method is an output feedback control and determines the closed-loop systems that their eigenvectors are orthogonalized to the open-loop eigenvectors. This method is a numerical method and used Singular Value Decomposition (SVD) to find the null space of the closed-loop eigenvectors. The matrix that spans the null space can be used to regenerate the open-loop system as well as the systems that have orthogonal eigenvectors to the regenerated open-loop system. As a result the isolation of vibration is independent of the type of the disturbance. Also in this method, the energy of the closed-loop system is minimized. As an important outcome, the proposed method needs neither to specify the closed-loop eigenvalues nor to define a desired set of eigenvectors.
- Design Engineering Division and Computers and Information in Engineering Division
Vibration Confinement by Minimum Modal Energy Eigenstructure Assignment
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Rastgaar Aagaah, M, Ahmadian, M, & Southward, SC. "Vibration Confinement by Minimum Modal Energy Eigenstructure Assignment." Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 21st Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Las Vegas, Nevada, USA. September 4–7, 2007. pp. 147-154. ASME. https://doi.org/10.1115/DETC2007-34961
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