A data-driven design method of distributed dynamic vibration absorber for broadband vibration suppression of thin-walled structures

Abstract

It is generally impractical to design Dynamic Vibration Absorbers (DVAs) according to each vibration mode for the vibration suppression of complex flexible structures due to the dense vibration modes. DVAs design according to the Excitation-Dependent Representative Basis (EDRB) derived in Li et al. (2021) allows one DVA to suppress the vibration response dominated by multiple closely-space modes, which broadens the application of the DVAs in vibration control. A data-driven method is developed based on EDRB to design the distributed DVAs for the broadband vibration suppression of thin-walled structures. Via the singular value decomposition on structural response data, both structural vibration modes and the EDRB can be obtained for well separated modes and closely-space modes, respectively. These derived structural vibration modes and EDRB will be regarded as the targeted “modes” and suppressed by the further designed distributed DVAs with one DVA per targeted “mode”. The vibration suppression of a simply-supported plate subjected to a concentrated dynamic force is firstly investigated to verify the effectiveness of the proposed method. Then, the distributed DVAs design for the vibration suppression of a complex fairing structure subjected to distributed dynamic force is conducted to show the applicability of the proposed method on complex engineering structures. Results show that the proposed data-driven method has a similar vibration suppression effect to the method in Li et al. (2021), and a better performance than the traditional method proposed by Zhu et al. (2018).