Active cloaking of flexural waves in thin plates

Gregory Futhazar; William J. Parnell; Andrew N. Norris

doi:10.1016/j.jsv.2015.06.023

Active cloaking of flexural waves in thin plates

Gregory Futhazar, William J. Parnell, Andrew N. Norris

School of Engineering, Mechanical & Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

Abstract An active cloak consists of a set of discrete multipole sources distributed in space. When the source positions and amplitudes are carefully specified the active field destructively interferes with an incident time harmonic wave so as to nullify the total field in some finite domain and ensure that in the far field only the incident wave is present, i.e. the active field is non-radiating. Here it is shown how to efficiently determine the source coefficients explicitly in the context of flexural waves in thin plates. The work is carried out in the context of Kirchhoff plate theory, using the Rayleigh-Green theorem to derive the unique source amplitudes for a given incident flexural wave.

Original language	English (US)
Article number	1253
Pages (from-to)	1-19
Number of pages	19
Journal	Journal of Sound and Vibration
Volume	356
DOIs	https://doi.org/10.1016/j.jsv.2015.06.023
State	Published - Nov 10 2015

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1016/j.jsv.2015.06.023

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title = "Active cloaking of flexural waves in thin plates",

abstract = "Abstract An active cloak consists of a set of discrete multipole sources distributed in space. When the source positions and amplitudes are carefully specified the active field destructively interferes with an incident time harmonic wave so as to nullify the total field in some finite domain and ensure that in the far field only the incident wave is present, i.e. the active field is non-radiating. Here it is shown how to efficiently determine the source coefficients explicitly in the context of flexural waves in thin plates. The work is carried out in the context of Kirchhoff plate theory, using the Rayleigh-Green theorem to derive the unique source amplitudes for a given incident flexural wave.",

author = "Gregory Futhazar and Parnell, {William J.} and Norris, {Andrew N.}",

note = "Funding Information: Gregory Futhazar thanks the School of Mathematics at the University of Manchester (via the MAPLE Platform Grant ( EP/I01912X/1 )) and {\'E}cole doctorale matisse for funding his visit to Manchester in 2013. William J. Parnell is grateful to Rutgers University for financial support for his visit to Andrew Norris in July 2012 when this work was initiated. He is also grateful to the Engineering and Physical Sciences Research Council for funding his research fellowship ( EP/L018039/1 ). Andrew Norris is grateful for support under ONR MURI Grant no. N000141310631 . Publisher Copyright: {\textcopyright} 2015 The Authors.",

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doi = "10.1016/j.jsv.2015.06.023",

language = "English (US)",

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AU - Futhazar, Gregory

AU - Parnell, William J.

AU - Norris, Andrew N.

N1 - Funding Information: Gregory Futhazar thanks the School of Mathematics at the University of Manchester (via the MAPLE Platform Grant ( EP/I01912X/1 )) and École doctorale matisse for funding his visit to Manchester in 2013. William J. Parnell is grateful to Rutgers University for financial support for his visit to Andrew Norris in July 2012 when this work was initiated. He is also grateful to the Engineering and Physical Sciences Research Council for funding his research fellowship ( EP/L018039/1 ). Andrew Norris is grateful for support under ONR MURI Grant no. N000141310631 . Publisher Copyright: © 2015 The Authors.

PY - 2015/11/10

Y1 - 2015/11/10

N2 - Abstract An active cloak consists of a set of discrete multipole sources distributed in space. When the source positions and amplitudes are carefully specified the active field destructively interferes with an incident time harmonic wave so as to nullify the total field in some finite domain and ensure that in the far field only the incident wave is present, i.e. the active field is non-radiating. Here it is shown how to efficiently determine the source coefficients explicitly in the context of flexural waves in thin plates. The work is carried out in the context of Kirchhoff plate theory, using the Rayleigh-Green theorem to derive the unique source amplitudes for a given incident flexural wave.

AB - Abstract An active cloak consists of a set of discrete multipole sources distributed in space. When the source positions and amplitudes are carefully specified the active field destructively interferes with an incident time harmonic wave so as to nullify the total field in some finite domain and ensure that in the far field only the incident wave is present, i.e. the active field is non-radiating. Here it is shown how to efficiently determine the source coefficients explicitly in the context of flexural waves in thin plates. The work is carried out in the context of Kirchhoff plate theory, using the Rayleigh-Green theorem to derive the unique source amplitudes for a given incident flexural wave.

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Active cloaking of flexural waves in thin plates

Abstract

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