Remarks on a dynamical higher-order theory of laminated plates and its application in random vibration response

G. Cederbaum; L. Librescu; I. Elishakoff

doi:10.1016/0020-7683(89)90063-2

Remarks on a dynamical higher-order theory of laminated plates and its application in random vibration response

G. Cederbaum
, L. Librescu
, I. Elishakoff

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

9 Scopus citations

Abstract

This paper presents an analysis of the equations governing the dynamics of sheardeformable composite plates, without recourse to a variational procedure. It is noted that the operator associated with the governing equations is nonsymmetric; using a first-order perturbation technique, it is shown to be positive- definite. In addition, using the biorthogonality condition, the dynamic response of the plate is formulated.

Original language	English
Pages (from-to)	515-526
Number of pages	12
Journal	International Journal of Solids and Structures
Volume	25
Issue number	5
DOIs	https://doi.org/10.1016/0020-7683(89)90063-2
State	Published - 1 Jan 1989
Externally published	Yes

ASJC Scopus subject areas

Modeling and Simulation
General Materials Science
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/0020-7683(89)90063-2

Cite this

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abstract = "This paper presents an analysis of the equations governing the dynamics of sheardeformable composite plates, without recourse to a variational procedure. It is noted that the operator associated with the governing equations is nonsymmetric; using a first-order perturbation technique, it is shown to be positive- definite. In addition, using the biorthogonality condition, the dynamic response of the plate is formulated.",

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AU - Cederbaum, G.

AU - Librescu, L.

AU - Elishakoff, I.

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Y1 - 1989/1/1

N2 - This paper presents an analysis of the equations governing the dynamics of sheardeformable composite plates, without recourse to a variational procedure. It is noted that the operator associated with the governing equations is nonsymmetric; using a first-order perturbation technique, it is shown to be positive- definite. In addition, using the biorthogonality condition, the dynamic response of the plate is formulated.

AB - This paper presents an analysis of the equations governing the dynamics of sheardeformable composite plates, without recourse to a variational procedure. It is noted that the operator associated with the governing equations is nonsymmetric; using a first-order perturbation technique, it is shown to be positive- definite. In addition, using the biorthogonality condition, the dynamic response of the plate is formulated.

UR - https://www.scopus.com/pages/publications/0024885235

U2 - 10.1016/0020-7683(89)90063-2

DO - 10.1016/0020-7683(89)90063-2

M3 - Article

AN - SCOPUS:0024885235

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JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 5

ER -

Remarks on a dynamical higher-order theory of laminated plates and its application in random vibration response

Abstract

ASJC Scopus subject areas

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