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

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

87 Downloads (Pure)

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 farfield 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
Pages (from-to)	1-19
Journal	Journal of Sound and Vibration
Volume	356
DOIs	https://doi.org/10.1016/j.jsv.2015.06.023
Publication status	Published - 23 Jul 2015

Keywords

Active cloaking, thin plates, Kirchhoff theory, flexural waves

Access to Document

10.1016/j.jsv.2015.06.023Licence: CC BY

POST-PEER-REVIEW-NON-PUBLISHERS.PDFAccepted author manuscript, 641 KBLicence: CC BY

Cite this

@article{dc7c6caab0a74ef9962db40180d8e238,

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

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 farfield 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.",

keywords = "Active cloaking, thin plates, Kirchhoff theory, flexural waves",

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

year = "2015",

month = jul,

day = "23",

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

language = "English",

volume = "356",

pages = "1--19",

journal = "Journal of Sound and Vibration",

issn = "1095-8568",

publisher = "Academic Press",

}

TY - JOUR

T1 - Active cloaking of flexural waves in thin plates

AU - Futhazar, Gregory

AU - Parnell, William J.

AU - Norris, Andrew N.

PY - 2015/7/23

Y1 - 2015/7/23

N2 - 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 farfield 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 - 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 farfield 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.

KW - Active cloaking, thin plates, Kirchhoff theory, flexural waves

U2 - 10.1016/j.jsv.2015.06.023

DO - 10.1016/j.jsv.2015.06.023

M3 - Article

SN - 1095-8568

VL - 356

SP - 1

EP - 19

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

ER -

Active cloaking of flexural waves in thin plates

Abstract

Keywords

Access to Document

Fingerprint

Cite this