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

M. F. Mekhtiyev, N. I. Fomina, Nazaket Boyukaga Mammadova
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Abstract

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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横向各向同性空心圆柱边面混合边界条件下弹性理论问题解的渐近分析
本文研究了横向各向同性空心圆柱体的弹性理论问题。得到了该问题的特征值的超越方程。对特征方程的根进行了深入的研究。本征值的研究可以建立各向异性壳与各向同性壳的应力-应变状态的基本特征。齐次解是在这里建立的。
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