The problem of obtaining an explicit, exact response of a flexible system to initial distributed input in infinite dimensional modeling is considered. The paper proposes a method to present the response in terms of propagating waves that are reflected from boundaries with general conditions. The result is then examined under control with the absolute vibration suppression (AVS) controller, which was originally designed for a concentrated input. It is shown that the vibration suppression properties of this controller are extended to systems with distributed input.
Vibration Suppression of Flexible Structures Using the Infinite Dimensional Laplace Domain Approach
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Sirota, L, Peled, I, & Halevi, Y. "Vibration Suppression of Flexible Structures Using the Infinite Dimensional Laplace Domain Approach." Proceedings of the ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. Volume 2: Automotive Systems; Bioengineering and Biomedical Technology; Computational Mechanics; Controls; Dynamical Systems. Haifa, Israel. July 7–9, 2008. pp. 431-440. ASME. https://doi.org/10.1115/ESDA2008-59150
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