One Single Static Measurement Predicts Wave Localization in Complex Structures

Autor: Svitlana Mayboroda, Gautier Lefebvre, Michael Atlan, Patrick Sebbah, Alix Garelli, Florian Feppon, Camille Gillot, Maxence Ernoult, Marc Dubois, Aimé Labbé, Marcel Filoche, Alexane Gondel
Přispěvatelé: Institut Langevin - Ondes et Images (UMR7587) (IL), Sorbonne Université (SU)-Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université de Paris (UP)-Centre National de la Recherche Scientifique (CNRS), MINES ParisTech - École nationale supérieure des mines de Paris, Université Paris sciences et lettres (PSL), Laboratoire de physique de la matière condensée (LPMC), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), School of Mathematics (UMN-MATH), University of Minnesota [Twin Cities] (UMN), University of Minnesota System-University of Minnesota System, The Jack and Pearl Resnick Institute for Advanced Technology, ANR-12-BS09-0003,PLATON,PLAques à trous borgnes pour le contrôle des ONdes de flexion(2012), ANR-10-IDEX-0001,PSL,Paris Sciences et Lettres(2010), Institut Langevin - Ondes et Images, Université Paris Diderot - Paris 7 (UPD7)-ESPCI ParisTech-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), University of Minnesota [Twin Cities], ANR-10-IDEX-0001-02/10-IDEX-0001,PSL,Paris Sciences et Lettres(2010), Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Mines Paris - PSL (École nationale supérieure des mines de Paris)
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Physical Review Letters
Physical Review Letters, American Physical Society, 2016, 117 (7), ⟨10.1103/PhysRevLett.117.074301⟩
Physical Review Letters, 2016, 117 (7), ⟨10.1103/PhysRevLett.117.074301⟩
ISSN: 0031-9007
1079-7114
DOI: 10.1103/PhysRevLett.117.074301⟩
Popis: A recent theoretical breakthrough has brought a new tool, called \emph{localization landscape}, to predict the localization regions of vibration modes in complex or disordered systems. Here, we report on the first experiment which measures the localization landscape and demonstrates its predictive power. Holographic measurement of the static deformation under uniform load of a thin plate with complex geometry provides direct access to the landscape function. When put in vibration, this system shows modes precisely confined within the sub-regions delineated by the landscape function. Also the maxima of this function match the measured eigenfrequencies, while the minima of the valley network gives the frequencies at which modes become extended. This approach fully characterizes the low frequency spectrum of a complex structure from a single static measurement. It paves the way to the control and engineering of eigenmodes in any vibratory system, especially where a structural or microscopic description is not accessible.
5 pages, 4 figures
Databáze: OpenAIRE