Thin, shallow, elastic, cylindrical panels with rectangular planform are considered. We seek the midsurface form which maximizes the fundamental frequency of vibration, and the form which maximizes the buckling value of a uniform axial load. The material, surface area, and uniform thickness of the panel are specified. The curved edges are simply supported, while the straight edges are either simply supported or clamped. For the clamped case, the optimal panels have zero slope at the edges. In the examples, the maximum fundamental frequency is up to 12 percent higher than that of the corresponding circular cylindrical panel, while the buckling load is increased by as much as 95 percent. Most of the solutions are bimodal, while the rest are either unimodal or trimodal.
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March 1986
Research Papers
Optimal Forms of Shallow Cylindrical Panels With Respect to Vibration and Stability
R. H. Plaut,
R. H. Plaut
Department of Civil Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Va. 24061
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L. W. Johnson
L. W. Johnson
Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Va. 24061
Search for other works by this author on:
R. H. Plaut
Department of Civil Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Va. 24061
L. W. Johnson
Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Va. 24061
J. Appl. Mech. Mar 1986, 53(1): 135-140 (6 pages)
Published Online: March 1, 1986
Article history
Received:
June 15, 1984
Revised:
April 15, 1985
Online:
July 21, 2009
Citation
Plaut, R. H., and Johnson, L. W. (March 1, 1986). "Optimal Forms of Shallow Cylindrical Panels With Respect to Vibration and Stability." ASME. J. Appl. Mech. March 1986; 53(1): 135–140. https://doi.org/10.1115/1.3171700
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