Asymptotic Analysis of the Dynamic Problem of the Theory of Elasticity for a Transverse Isotropic Hollow Cylinder

Mekhtiev, Magomed F.; Bergman, R.

doi:10.1006/jsvi.2000.3471

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Cited by 5 publications

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“…Thus, the asymptotic method developed by A. L. Goldenweiser, I. I. Vorovich, V. B. Lidski [26] and their followers [27], [28], [29], [13], [30], [31], has made significant contribution to the development of the theory of Transversely Isotropic Hollow Cylinder with Mixed Boundary Conditions on the Side Surface plates and shells.…”

Section: Introductionmentioning

confidence: 99%

The Asymptotic Analysis of the Solution of an Elasticity Theory Problem for a Transversely Isotropic Hollow Cylinder with Mixed Boundary Conditions on the Side Surface

Mekhtiyev¹

2016

SJAMS

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The problem of elasticity theory for the transversely isotropic hollow cylinder with mixed conditions on the side surface is considered in the paper. Transcendental equations are obtained regarding the eigenvalues of the problem. The roots of the characteristic equations are studied thoroughly. The study of the eigenvalues allowed to establish the essential characteristics of the stress-strain state of an anisotropic shell in comparison with isotropic shells. Homogeneous solutions were built here.

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Section: Introductionmentioning

confidence: 99%