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The axisymmetric mixed problem in the theory of elasticity for a hallow truncated circular cone

โœ Scribed by G.Ya. Popov

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
597 KB
Volume
64
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

An explicit solution is constructed for the axisymmetric problem of the stressed state of a hollow circular cone truncated by two spherical surfaces (the ends of the cone) with a normal load acting on one of the ends (the other end is unloaded) and sliding clamping or the side surfaces of the cone. A number of special cases is considered including the stressed state of a spherical cupola supported on an absolutely rigid, smooth, plane base and there can be a conical incision at the centre of the cupola. The method of solution is ea~,~ily extended to the case of arbitrary axisymmetric loading of the ends and is based on the use of a new integral transformation the derivation of which is presented.

๐Ÿ“œ SIMILAR VOLUMES

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โœ V.M Aleksandrov; D.A Pozharskii ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 344 KB

A method for reducing a problem in the theory of elasticity to a Hilbert boundaxy-value problem, which has been generalized by Vekua , is extendc~l to a mixed axially symmetric problem for a tnmcated sphere, with a rigidly embedded spherical surface.