Deflection of concentrically supported and eccentrically loaded thin circular plate

M. N.Y. Anwar; M. Y.Z. Koujouk

doi:10.1016/0377-0427(91)90026-G

Deflection of concentrically supported and eccentrically loaded thin circular plate

M. N.Y. Anwar, M. Y.Z. Koujouk

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

Abstract

Within the restrictions of the classical small bending theory of thin plates, the complex variable method is used to obtain exact expressions in series form for the deflection at any point of a thin isotropic circular plate simply supported along two concentric circles and eccentrically loaded. Numerical results and graphs illustrating the variation of the deflection along radii of the plate for two different load positions are presented. Special and limiting cases reduce the solutions derived above to those obtained by other authors.

Original language	English
Pages (from-to)	189-207
Number of pages	19
Journal	Journal of Computational and Applied Mathematics
Volume	36
Issue number	2
DOIs	https://doi.org/10.1016/0377-0427(91)90026-G
Publication status	Published - Aug 27 1991
Externally published	Yes

Keywords

Elasticity
Poisson's ratio
biharmonic equation
complex analysis
deflection
free boundary
simple support
singular load
thin circular plate

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/0377-0427(91)90026-G

Cite this

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abstract = "Within the restrictions of the classical small bending theory of thin plates, the complex variable method is used to obtain exact expressions in series form for the deflection at any point of a thin isotropic circular plate simply supported along two concentric circles and eccentrically loaded. Numerical results and graphs illustrating the variation of the deflection along radii of the plate for two different load positions are presented. Special and limiting cases reduce the solutions derived above to those obtained by other authors.",

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AU - Anwar, M. N.Y.

AU - Koujouk, M. Y.Z.

PY - 1991/8/27

Y1 - 1991/8/27

N2 - Within the restrictions of the classical small bending theory of thin plates, the complex variable method is used to obtain exact expressions in series form for the deflection at any point of a thin isotropic circular plate simply supported along two concentric circles and eccentrically loaded. Numerical results and graphs illustrating the variation of the deflection along radii of the plate for two different load positions are presented. Special and limiting cases reduce the solutions derived above to those obtained by other authors.

AB - Within the restrictions of the classical small bending theory of thin plates, the complex variable method is used to obtain exact expressions in series form for the deflection at any point of a thin isotropic circular plate simply supported along two concentric circles and eccentrically loaded. Numerical results and graphs illustrating the variation of the deflection along radii of the plate for two different load positions are presented. Special and limiting cases reduce the solutions derived above to those obtained by other authors.

KW - Elasticity

KW - Poisson's ratio

KW - biharmonic equation

KW - complex analysis

KW - deflection

KW - free boundary

KW - simple support

KW - singular load

KW - thin circular plate

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VL - 36

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Deflection of concentrically supported and eccentrically loaded thin circular plate

Abstract

Keywords

ASJC Scopus subject areas

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