Abstract
The problem of minimization of weight is considered in the case of annular sandwich plates, statically indeterminate with respect to the support reactions and resting on an incompressible liquid; the plates are subjected to axi-symmetric loads, uniformly distributed over the annular region. Under various boundary conditions the fields of deflection rates and limit moments are calculated which correspond to the opitmum design; moreover, the reactions along the interior contour and relations between the loads and the pressure exerted by the liquid on the plate are derived. Numerical results are illustrated by graphs.References
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D. C. DRUCKER, R. T. SHIELD, Bounds on minimum weight design, Q. Appl. Math., 15, 269-281, 1957.
M. I. REJTMAN, G.S. SUAPIRO, Methods of optimum design of deformable bodies (in Russian)
Nauka, 1976.
F. G, SHAMIEV, Optimal design of plates loaded by two opposite sets of loads. Optimization in
structural design, IUTAM Symposium Warsaw 1973, Springer-Verlag 1975.
F. G. SHAMEY, Optimal design of plates loaded by two sets of lateral loads, Arch. Mech. 27, 1975.
F. G. SHAMIEV. D. D. GASANOVA, On the optimum design of plates resting on incompressible liquid (in Russian) Izy. AN Azerb. SSR, Ser. fiz.-tech. mat. nauk, 3, 1977.
F. G. SHAME, On the design of plates of minimum weight (in Russian), Iz. AN Azerb. SSR, ser. fiz.-tech, mat. nauk, 6. 1962.
F G. SHAMIEV, On the design of annular plates of minim weigh (in Russian), Iz. AN Azer. SSR, ser. fiz-mat. tech. nauk, 3, 1963.
F. G. SHAMIEV, Once more on the design of annular plates of minim weight (in Russian),
Izy. AN Azerb. SSR, ser. fiz-tech. mat. nauk, 2, 1978.
J. MEGARERS, Minimal design of sandwich axisymmetric plates II, J. Engng. Mech. Div, ASCE,
94 N EM 1, 1968.
13.
F. G. HODGE, C. K. SUN, Yield-point load of a circular plate sealing an incompressible fluid, Int. J. Mech. Sci. 9. 405-414, 1967.
Z. MRÓZ, On a problem of minimum weight design, Q. Appl. Math., 14, 2, 1961.
