Refined theory for flexural motions of isotropic elastic plates

G. Z. Voyiadjis; M. H. Baluch

doi:10.1016/0022-460X(81)90290-X

Refined theory for flexural motions of isotropic elastic plates

G. Z. Voyiadjis^*, M. H. Baluch

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

28 Scopus citations

Abstract

A technical theory for the flexural motions of isotropic elastic plates has been developed, taking into account the influence of transverse normal strain and transverse normal stress, together with rotatory inertia and transverse shear. The theory is tested by studying the classical wave propagation problem and results indicate the influence of the transverse normal strain on the wave speed at large values of h λ. In addition, a constant magnitude for the shear coefficient κ² = 5 6 is obtained, which is in contrast to an undetermined coefficient form in previous flexural motion formulations but consistent with the value obtained in the Reissner static technical theory of plate bending.

Original language	English
Pages (from-to)	57-64
Number of pages	8
Journal	Journal of Sound and Vibration
Volume	76
Issue number	1
DOIs	https://doi.org/10.1016/0022-460X(81)90290-X
State	Published - 8 May 1981

Bibliographical note

Funding Information:
11. G. R. COWPER 1968 DMEjNAE Quarterly Bulletin No. 1968 (4), National Research Council

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1016/0022-460X(81)90290-X

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title = "Refined theory for flexural motions of isotropic elastic plates",

abstract = "A technical theory for the flexural motions of isotropic elastic plates has been developed, taking into account the influence of transverse normal strain and transverse normal stress, together with rotatory inertia and transverse shear. The theory is tested by studying the classical wave propagation problem and results indicate the influence of the transverse normal strain on the wave speed at large values of h λ. In addition, a constant magnitude for the shear coefficient κ2 = 5 6 is obtained, which is in contrast to an undetermined coefficient form in previous flexural motion formulations but consistent with the value obtained in the Reissner static technical theory of plate bending.",

author = "Voyiadjis, \{G. Z.\} and Baluch, \{M. H.\}",

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AU - Voyiadjis, G. Z.

AU - Baluch, M. H.

N1 - Funding Information: 11. G. R. COWPER 1968 DMEjNAE Quarterly Bulletin No. 1968 (4), National Research Council

PY - 1981/5/8

Y1 - 1981/5/8

N2 - A technical theory for the flexural motions of isotropic elastic plates has been developed, taking into account the influence of transverse normal strain and transverse normal stress, together with rotatory inertia and transverse shear. The theory is tested by studying the classical wave propagation problem and results indicate the influence of the transverse normal strain on the wave speed at large values of h λ. In addition, a constant magnitude for the shear coefficient κ2 = 5 6 is obtained, which is in contrast to an undetermined coefficient form in previous flexural motion formulations but consistent with the value obtained in the Reissner static technical theory of plate bending.

AB - A technical theory for the flexural motions of isotropic elastic plates has been developed, taking into account the influence of transverse normal strain and transverse normal stress, together with rotatory inertia and transverse shear. The theory is tested by studying the classical wave propagation problem and results indicate the influence of the transverse normal strain on the wave speed at large values of h λ. In addition, a constant magnitude for the shear coefficient κ2 = 5 6 is obtained, which is in contrast to an undetermined coefficient form in previous flexural motion formulations but consistent with the value obtained in the Reissner static technical theory of plate bending.

UR - https://www.scopus.com/pages/publications/0019875326

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JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 1

ER -

Refined theory for flexural motions of isotropic elastic plates

Abstract

Bibliographical note

ASJC Scopus subject areas

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