Wave boundary control method for vibration suppression of large net structures
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Large net structures used in engineering can easily get into vibration under external excitations; however, the corresponding vibration control strategy still remains challenging. In this paper, a wave boundary control (WBC) strategy is proposed for the vibration suppression of large net structures. The stability of the controlled structures is confirmed by using inverse Fourier transform, transfer function analysis, and numerical simulation. When WBC controllers are set at all boundaries and excitations come from the boundaries, dynamic responses for all the strings of the net structures can quickly reduce to zero without any residual vibration. The effects of different observations, controls, and distributions of sensors on the control laws are discussed. As an application, a method for reducing the number of controllers for large net structures is finally proposed. The research provides theoretical guidance for vibration control of large net structures.
The authors thank Xinwei Xu for the help in the theoretical work. This work was supported by the National Natural Science Foundation of China [Grant Nos. 11290153 and 11672037].
Author contributions KZ proposed the key idea of this paper. SLZ and KZ developed the analytical method and carried out the numerical computation. YL assisted with the building of the numerical program. GKH assisted with discussing the results. SLZ, KZ, and GKH contributed to the writing of the paper.
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