Titlebook: Vibrations of Hollow Elastic Bodies; Magomed F. Mekhtiev Book 2018 Springer International Publishing AG 2018 hollow bodies.solutions for c

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Magomed F. Mekhtievof venerable age, their assembly into sophisticated combined methods and their intensive application to ever new problems is an ongoing and exciting process. After six years, a new the new vistas edition of this textbook must therefore take into account some of that have opened up recently. Apart fr

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Book 2018mogeneous solutions are derived for cylinders, spheres and cones (including spherical and conical layers), as well as for plates of variable thickness. The book includes a wealth of numerical examples, as well as refined versions of 2D dynamic formulations. Boundary value problems for hollow bodies are also addressed..

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Free Vibrations of Isotropic Hollow Cylinder and Closed Hollow Sphere, frequencies in a given interval which undoubtedly represents a scientific and practical value. Comparison of the results obtained by Kirchhoff-Love’s and Timoshenko’s theories with the results obtained by the three-dimensional elasticity theory are illustrated.

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Asymptotic Analysis of Stress-Strain State of a Truncated Hollow Cone,of axisymmetric equations of elasticity theory for a conical shell and a circular plate whose thickness varies linearly along the generatrix. An asymptotic theory is constructed for a general conical shell which remains true, in particular, for a cylindrical shell.

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Asymptotic Analysis of Dynamic Elasticity Problems for a Hollow Cylinder of Finite Length,solutions. Depending on the frequency of the driving forces a possible form of wave formation in a hollow cylinder is explored. The asymptotic behaviour of the solutions of three-dimensional dynamic problems of elasticity theory is studied as the wall-thickness parameter tends to zero hence correspo

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Asymptotic Analysis of Dynamic Elasticity Problem for a Hollow Sphere,omogeneous solutions are constructed. One way for the construction of heterogeneous solutions is pointed out. An asymptotic analysis of homogeneous solutions for a spherical shell corresponding to different groups of roots of the dispersion equation is carried out. Non-axisymmetric dynamic problem o