Abstract
The problem of active vibration suppression of the distributed elastic system is considered in the example of a slender metal beam undergoing bending vibrations. Control systems include piezoelectric sensors and actuators. Three different strategies for vibration suppression are considered: local, modal and shape control strategy. The local approach means that each feedback loop includes only one sensor–actuator pair placed at specific location on the beam, while the modal strategy implies that each feedback loop corresponds to a specific vibration mode of the object. The shape control method is based on the compensation of known distribution of the external excitation using only one feedback loop with all available sensors and actuators. First, experimental results are obtained for the local and the modal control systems using the same two sensor–actuator pairs, and then the transfer functions in feedback loops for these systems are improved as the result of numerical modeling. After that, the modal method is compared numerically with the shape control strategy. The results show that the modal method is the most effective if it is needed to suppress several vibration modes of the object.
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This work was supported by the Ministry of Science and Higher Education of the Russian Federation (Project Number 075-15-2021-573).
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Fedotov, A.V., Belyaev, A.K., Polyanskiy, V.A., Smirnova, N.A. (2022). Local, Modal and Shape Control Strategies for Active Vibration Suppression of Elastic Systems: Experiment and Numerical Simulation. In: Polyanskiy, V.A., K. Belyaev, A. (eds) Mechanics and Control of Solids and Structures. Advanced Structured Materials, vol 164. Springer, Cham. https://doi.org/10.1007/978-3-030-93076-9_8
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