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Statical moments of exact and approximate profiles of air springs. (English) Zbl 0588.49028

In an earlier paper [ibid. 18, 297-309 (1985; Zbl 0555.49028)] the author obtained the optimal shape of an air spring. He looked for such a shape of the spring which insures its maximal volume given the area of its surface. The exact meridian section of the spring is a curve, which is called antiellipse by a author. The aim of this paper is to complete the earlier results by a numerical study of the problem. It is proved that the difference between the anti-ellipse and the circular profile of the deformed fold is insignificant. The substitution of the anti-elliptic profile by a circular one has also no serious influence on the calculated value of the tension of the shell.
Reviewer: I.Ecsedi

MSC:

49S05 Variational principles of physics
65K10 Numerical optimization and variational techniques
74K25 Shells

Citations:

Zbl 0555.49028
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