General Solution to Bending of Orthotropic Sectors
Publication: Journal of Engineering Mechanics
Volume 109, Issue 1
Abstract
A solution is presented for the lateral bending of a polar orthotropic sector plate with general boundary conditions. At the present time, solutions for only nine of the 54 possible combinations of boundary conditions are available in the literature; this study provides solutions for all of these boundary conditions. The plate is linearly elastic and subjected to a uniformly distributed lateral load. The principle of minimum potential energy is used to obtain a differential equation which describes the system configuration. This equation is solved to obtain deflections and stresses for the sector. Results compare well with solutions in the literature, and provide additional solutions not previously available.
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References
1.
Rubin, C., “Application of Orthotropic Plate Theory to Windmill Blade Design,” Journal of Mechanical Design, ASME, Vol. 103, No. 4, Oct., 1981, pp. 892–894.
2.
Rubin, C., “Bending of Ring and Pie‐Shaped Sectors,” Journal of Applied Mechanics, ASME, Vol. 42, No. 2, June, 1975, pp. 492–494.
3.
Rubin, C., “Optimum Design for a Corrugated Diaphragm Clamped to a Shaft Undergoing Axial and Angular Displacement,” Journal of Engineering and Materials Technology, ASME, Vol. 97, No. 4, Oct., 1975, pp. 363–366.
4.
Rubin, C., “Stability of Polar‐Orthotropic Sector Plates,” Journal of Applied Mechanics, ASME, Vol. 45, No. 2, June, 1978, pp. 448–450.
5.
Rubin, C., “Vibrating Modes for Simply Supported Polar‐Orthotropic Sector Plates,” Journal of the Acoustical Society of America, Vol. 58, No. 4, Oct., 1975, pp. 841–845.
6.
Rubin, C. and Blech, J. J., “Bending of Cylindrically Anisotropic Sector Plates,” American Institute of Aeronautics and Astronautics Journal, Vol. 13, No. 8, Aug., 1975, pp. 1103–1105.
7.
Timoshenko, S., and Woinowsky‐Krieger, S., Theory of Plates and Shells, 2nd ed., McGraw‐Hill Book Co., Inc., New York, N.Y., 1959.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 109 • Issue 1 • February 1983
Pages: 168 - 174
Copyright
Copyright © 1986 ASCE.
History
Published online: Feb 1, 1983
Published in print: Feb 1983
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