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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 2011 Volume 13, Number 2, Pages 35–44 (Mi vmj383)

This article is cited in 1 paper

A study of harmonic fluctuations hollow the cylinder with screw anisotropy on the basis of three-dimensional equations of elasticity theory

I. A. Panfilova, Y. A. Ustinovab

a Southern Federal University, Rostov-on-Don, Russia
b South Mathematical Institute of VSC RAS, Vladikavkaz, Russia

Abstract: Distribution of harmonious waves in a floor the cylinder with screw anisotropy are investigated on the basis of the three-dimensional theory of elasticity. The basic attention is given to studying axisymmetric fluctuations. The comparative analysis with the results obtained earlier on the basis of applied theories is carried out.

Key words: screw anisotropy, Timoshenko–Reissnera hypotheses, Kirhgoffa–Ljava hypotheses, quasitorsional fluctuation, quasilongitudinal fluctuation.

UDC: 539.3

Received: 04.06.2010



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