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Research Papers

The Support Reaction of a Simply Supported and Uniformly Loaded Thin Circular Aeolotropic Plate

[+] Author and Article Information
Kjell Eriksson

Department of Solid Mechanics, Luleå University of Technology, SE 971 87 Luleå, Swedenkjell.eriksson@ltu.se

J. Appl. Mech 75(2), 021002 (Feb 20, 2008) (8 pages) doi:10.1115/1.2775494 History: Received March 17, 2006; Revised July 17, 2007; Published February 20, 2008

A previous analytical solution of the deflection of a thin circular aeolotropic plate, with simply supported edge and uniform lateral load, has been used to derive approximate series expressions for the plate support reaction, which are directly applicable in practice. The support reaction, which has been calculated for some typical anisotropic materials of varying degree of anisotropy, varies significantly along the plate perimeter and strongly anisotropic materials require in general a higher order series solution. Certain solution constants of previous deflection approximations were not found to harmonize and are therefore recalculated.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Relative bending rigidity. Materials a–h form top right to down left. Materialξ=D1∕D3η=(D2+D4)∕D3a12.361b0.9290.985c0.7680.879d0.3580.384e0.170.343f0.0910.083g0.060.112h0.0550.1

Grahic Jump Location
Figure 2

Dimensionless support reaction versus position on plate perimeter for materials a–h

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