Random vibro-acoustic control of internal noise through optimized Tuned Mass Dampers

Abstract

It has not been published elsewhere and that it has not been submitted simultaneously for publication elsewhere. The work deals with the passive control of interior sound pressure induced by randomly vibrating structure coupled to an enclosure filled with air. The control in the low frequency range is achieved using a Tuned Mass Damper (TMD) device. In order to guarantee an optimal performance of the TMD device, a stochastic acoustic optimization strategy is proposed. The effectiveness of the proposed strategy is investigated and compared with others from the open literature. The capability of the proposed optimization strategy to deal with multimodal control of interior sound has also been addressed. To this end, multiple TMDs have been used. The optimal TMD parameters have been obtained using a multi-objective optimization approach and the results that have been gathered show significant attenuations in all target resonant modes.

Robust multimodal control of a large‐scale tensegrity dome using multiple tuned mass dampers

“…In order to control the vertical vibrations of the Geiger's dome, TMD devices would generally be mounted on one or several nodes of the structure. For optimal performance of the TMDs, their parameters should be optimized, and in this context, a recently introduced optimization strategy 29 will be used. The proposed optimization strategy is based on the computation of the RMSD of a given node of the structure evaluated using Equation 7.…”

“…The computation is performed in a certain frequency range Δ f in the close vicinity of a resonant frequency ϖ . The basic idea behind this strategy is explained in Mrabet et al, 29 and it consists in minimizing defined as the square root of the area under the displacement PSD response as shown in Figure 2a. Indeed, a typical PSD response is shown where two resonant frequencies ϖ 1 and ϖ 2 present two peak responses.…”

“…Furthermore, to assess the performance of the TMD devices when they are tuned using the different formulas, a performance index G is defined. The G index measures the attenuation in the PSD responses in the close vicinity of the targeted frequency for which the TMD has been tuned, and it has the following expression 29 : . It should be noted that the higher the value of the G index is, the better the performance of the TMD is.…”

“…In this context of random vibrations, one can compute the RMSD σ z i of the ith node along the z axis. By making use of Equation 6, the RMSD σ z i evaluated over a given range of frequency 29 can be obtained as follows:…”

LRLC-shunted piezoelectric vibration absorber

“…This approach already showed to be effective in the field of mechanical TVAs, where multiple TVAs are used to add more than one eigenfrequency to the whole system [25,26] and are tuned for attenuating the vibrations of a single mode of the primary system. The technique, applied in different fields, such as for example civil engineering [27,28,29,30] and acoustic control [31], has proven to be able to improve the attenuation provided by a single TVA. TVAs can be used with different layouts, such as series (e.g.…”