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BRIEF NOTES

On the Existence of a Solution for a Solid Circular Plate Bilaterally Supported Along Two Antipodal Boundary Arcs and Loaded by a Central Transverse Concentrated Force

[+] Author and Article Information
G. Monegato

Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy

A. Strozzi

Faculty of Engineering, Modena and Reggio Emilia University, Via Vignolese 905, 41100 Modena, Italy

J. Appl. Mech 68(5), 809-812 (Dec 18, 2000) (4 pages) doi:10.1115/1.1379037 History: Received September 29, 1999; Revised December 18, 2000
Copyright © 2001 by ASME
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References

Sherman,  D. I., 1955, “On the Bending of a Circular Plate Partially Supported and Partially Free Along the Contour,” Dokl. Akad. Nauk SSSR, 105, pp. 1180–1183.
Samodurov,  A. A., and Tikhomirov,  A. S., 1983, “Solution of the Bending Problem of a Circular Plate With a Free Edge Using Paired Equations,” P.M.M, 46, pp. 794–797.
Grigolyuk, E., and Tolkachev, V., 1987, Contact Problems in the Theory of Plates and Shells, Mir Publishers, Moscow.
Dragoni,  E., and Strozzi,  A., 1995, “Mechanical Analysis of a Thin Solid Circular Plate Deflected by Transverse Periphery Forces and by a Central Load,” Proc. Inst. Mech. Eng., 209, pp. 77–86.
Mikhlin, S. G., 1964, Integral Equations, Pergamon Press, New York.
Ling, F. F., 1973, Surface Mechanics, John Wiley and Sons, New York.
Gladwell, G. M. L., 1980, Contact Problems in the Classical Theory of Elasticity, Sijthof and Noordhoff, The Netherlands.
Monegato, G., and Strozzi, A., 2000, “On the Existence of a Solution for a Solid Circular Plate Bilaterally Supported Along Two Antipodal Boundary Arcs and Loaded by a Central Transverse Concentrated Force,” Internal Report, Department of Mathematics, Turin Polytechnic, Turin, Italy.
Strozzi, A., Dragoni, E., and Ciavatti, V., 1996, “Flexural Analysis of Circular Plates Supported Along Border Arcs,” Writings for E. Funaioli, Progetto Leonardo, Bologna, Italy, pp. 249–264 (in Italian).

Figures

Grahic Jump Location
A thin, solid, circular plate, bilaterally supported along two antipodal periphery arcs and deflected by a transverse central force
Grahic Jump Location
The deflection w(θ) in a circular plate loaded by a transverse, concentrated, central force P, and by two antipodal border forces P/2
Grahic Jump Location
Coefficient C2 normalized over K, versus 2α/π, for ν=0.3

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