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Online ISSN 1552-4485; Print ISSN 0033-569X
Plate design for minimum weight
Author:
R. T. Shield
Journal:
Quart. Appl. Math. 18 (1960), 131-144
MSC:
Primary 73.00
DOI:
https://doi.org/10.1090/qam/112409
MathSciNet review:
112409
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: A discussion of the equations determining the minimum weight design of transversely loaded sandwich plates is given. By means of an inverse method, the solution for an elliptical plate clamped around its edge is derived.
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W. Prager, Minimum weight design of plates, De Ing. 48, 1-2 (1955)
H. G. Hopkins and W. Prager, Limits of economy of material in plates, J. Appl. Mech. 22, 372-374 (1955)
- Walter Freiberger and Bekir Tekinalp, Minimum weight design of circular plates, J. Mech. Phys. Solids 4 (1956), 294–299. MR 80466, DOI https://doi.org/10.1016/0022-5096%2856%2990038-2
- Emin Turan Onat, Walter Schumann, and Richard Thorpe Shield, Design of circular plates for minimum weight, Z. Angew. Math. Phys. 8 (1957), 485–499. MR 93198, DOI https://doi.org/10.1007/BF01600564
- William Prager and Richard T. Shield, Minimum weight design of circular plates under arbitrary loading, Z. Angew. Math. Phys. 10 (1959), 421–426 (English, with German summary). MR 108938, DOI https://doi.org/10.1007/BF01601046
- H. G. Hopkins and W. Prager, The load carrying capacities of circular plates, J. Mech. Phys. Solids 2 (1953), 1–13. MR 57735, DOI https://doi.org/10.1016/0022-5096%2853%2990022-2 D. C. Drucker and R. T. Shield, Design for minimum weight, Proc. 9th Intern. Congr. Appl. Mech., Brussels 1956
- D. C. Drucker and R. T. Shield, Bounds on minimum weight design, Quart. Appl. Math. 15 (1957), 269–281. MR 90269, DOI https://doi.org/10.1090/S0033-569X-1957-90269-X
- R. T. Shield, On the optimum design of shells, J. Appl. Mech. 27 (1960), 316–322. MR 0112410
- D. C. Drucker, W. Prager, and H. J. Greenberg, Extended limit design theorems for continuous media, Quart. Appl. Math. 9 (1952), 381–389. MR 45573, DOI https://doi.org/10.1090/S0033-569X-1952-45573-2
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Article copyright:
© Copyright 1960
American Mathematical Society