This paper discusses a new nonlinear controller for vibration reduction in nonlinear vibrating smart structures. Nonlinear Integral Resonant Controller (NIRC) applies additional damping to the closed-loop system of a nonlinear vibrating system, and reduces the vibration amplitude in a wide range of frequency domain. An approximate solution is obtained using a multi-layer implementation of the Method of Multiple Scales, steady-state amplitude-frequency response is obtained and closed-loop stability is examined. Effects of different controller parameters on system response are investigated, in addition to numerical simulation results. In contrast to the Positive Position Feedback approach, the closed-loop response of the controlled system via NIRC does not show any high-amplitude peak in the neighborhood of the suppressed resonant frequency. This makes the closed-loop system robust to variations in excitation frequency.
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Nonlinear Vibration Reduction in Smart Structures Using Nonlinear Integral Resonant Controller
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Omidi, E, & Mahmoodi, N. "Nonlinear Vibration Reduction in Smart Structures Using Nonlinear Integral Resonant Controller." Proceedings of the ASME 2015 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. Volume 1: Development and Characterization of Multifunctional Materials; Mechanics and Behavior of Active Materials; Modeling, Simulation and Control of Adaptive Systems. Colorado Springs, Colorado, USA. September 21–23, 2015. V001T03A020. ASME. https://doi.org/10.1115/SMASIS2015-9019
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