Nonlinear vibratory energy exchanges in a meta-cell

Zanin, C. da Silveira; Savadkoohi, Alireza Ture; Baguet, S.; Dufour, R.; Hurel, Gabriel

doi:10.1016/j.ijnonlinmec.2022.104148

Cited by 7 publications

(2 citation statements)

References 43 publications

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“…Perspectives of current work are optimization of system parameters of the programed electroacoustical loudspeakers 31 and taking into account other types of nonlinearities such as time-dependent 32 and non-smooth ones. 33,34…”

Section: Discussionmentioning

confidence: 99%

Experimental evidences of nonlinear programmable electroacoustic loudspeaker

da Silveira Zanin,

Labetoulle,

De Bono

et al. 2023

Building Acoustics

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A two degrees-of-freedom system coupling an acoustical mode of a closed tube to an electroacoustic loudspeaker is considered. A model-inversion technique is presented to digitally program the impedance of the loudspeaker for reaching a targeted nonlinear behavior. Experimental results show that the programed nonlinearity can guide the system to both periodic and non-periodic responses while acoustical levels for activation of the nonlinearity are less than the ones for systems with passive nonlinear oscillators (94 and 100 dB in this paper compared to 138 dB in previous papers), allowing building applications. Moreover, it is spotted that the programed nonlinearity of the electroacoustic loudspeaker, even in its non-optimized form, performs nonlinear noise control for some frequency ranges. The main objective of this article is to show that it is possible to program the behavior of an electroacoustic loudspeaker.

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Section: Discussionmentioning

confidence: 99%

Experimental evidences of nonlinear programmable electroacoustic loudspeaker

da Silveira Zanin,

Labetoulle,

De Bono

et al. 2023

Building Acoustics

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“…Some applications of such kinds of vibro-acoustic chains are reported in (12; 13; 14; 15). One of the special types of architected meta-cells is the mass-in-mass system (16). Nonlinear version of such system with inclusion of linear and cubic restoring forces is studied by Cveticanin et al (17).…”

Section: Introductionmentioning

confidence: 99%

Different dynamics of a periodic mass-in-mass nonlinear chain during a single mode excitation

2022

Self Cite

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The multiple scale dynamics of a periodic chain composed of nonlinear mass-in-mass cells is studied. Based on a continuous approach of the one-dimensional chain, dispersion equation is obtained which provides the general form of solutions of the linearized system. Taking into account a single harmonic of the chain around a 1:1 resonance with a targeted mode, fast dynamics of the system leads to the detection of the slow invariant manifold and its stability borders. Slow dynamics permits to predict singularities and equilibrium points leading to frequency responses. The developments predict periodic and non-periodic responses and permit to tune parameters of the chain for the aim of localization of vibrating energy and design of periodic or non-periodic responses.

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