Dynamic green’s functions for levy plates

L. A. Bergman; J. K. Hall; G. G.G. Lueschen; D. M. McFarland

doi:10.1006/jsvi.1993.1119

Dynamic green’s functions for levy plates

L. A. Bergman, J. K. Hall, G. G.G. Lueschen, D. M. McFarland

Aerospace Engineering

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

Abstract

The dynamic Green’s functions for thin rectangular plates having two opposite edges simply supported are given in terms of a rapidly converging Levy series. These are then applied to the solution of several free vibration problems wherein a plate is coupled to one or more discrete substructures. The solutions are exact to within the precision of the Green’s functions.

Original language	English (US)
Pages (from-to)	281-310
Number of pages	30
Journal	Journal of Sound and Vibration
Volume	162
Issue number	2
DOIs	https://doi.org/10.1006/jsvi.1993.1119
State	Published - Apr 8 1993

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

Online availability

10.1006/jsvi.1993.1119

Library availability

Discover UIUC Full Text

Cite this

@article{19e43c08c67d48309a17e7f25588299f,

title = "Dynamic green{\textquoteright}s functions for levy plates",

abstract = "The dynamic Green{\textquoteright}s functions for thin rectangular plates having two opposite edges simply supported are given in terms of a rapidly converging Levy series. These are then applied to the solution of several free vibration problems wherein a plate is coupled to one or more discrete substructures. The solutions are exact to within the precision of the Green{\textquoteright}s functions.",

author = "Bergman, {L. A.} and Hall, {J. K.} and Lueschen, {G. G.G.} and McFarland, {D. M.}",

year = "1993",

month = apr,

day = "8",

doi = "10.1006/jsvi.1993.1119",

language = "English (US)",

volume = "162",

pages = "281--310",

journal = "Journal of Sound and Vibration",

issn = "0022-460X",

publisher = "Academic Press",

number = "2",

}

TY - JOUR

T1 - Dynamic green’s functions for levy plates

AU - Bergman, L. A.

AU - Hall, J. K.

AU - Lueschen, G. G.G.

AU - McFarland, D. M.

PY - 1993/4/8

Y1 - 1993/4/8

N2 - The dynamic Green’s functions for thin rectangular plates having two opposite edges simply supported are given in terms of a rapidly converging Levy series. These are then applied to the solution of several free vibration problems wherein a plate is coupled to one or more discrete substructures. The solutions are exact to within the precision of the Green’s functions.

AB - The dynamic Green’s functions for thin rectangular plates having two opposite edges simply supported are given in terms of a rapidly converging Levy series. These are then applied to the solution of several free vibration problems wherein a plate is coupled to one or more discrete substructures. The solutions are exact to within the precision of the Green’s functions.

UR - http://www.scopus.com/inward/record.url?scp=0027911847&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027911847&partnerID=8YFLogxK

U2 - 10.1006/jsvi.1993.1119

DO - 10.1006/jsvi.1993.1119

M3 - Article

AN - SCOPUS:0027911847

SN - 0022-460X

VL - 162

SP - 281

EP - 310

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 2

ER -

Dynamic green’s functions for levy plates

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this