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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011 Issue 4, Pages 100–106 (Mi vuu299)

MECHANICS

Analogue of the five-moment theorem in the theory of shells

E. I. Mikhailovskii, V. L. Nikitenkov

Syktyvkar State University, Syktyvkar, Russia

Abstract: In this paper we generalize the analogue of the three-moment theorem in the theory of shells, which has been earlier obtained for the long cylindrical shell with several supports, to the case of flexible supports as a so-called “shell” analogue of the five-moment theorem.

Keywords: theorems of three and five momånts, partition of deflected mode, reactions at supports, beam, shell, thermal differential.

UDC: 517.53

MSC: 30E25

Received: 25.04.2011



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