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Vibrations of Hollow Elastic Bodies

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Vibrations of Hollow Elastic Bodies/ by Magomed F. Mekhtiev.
Author:	Mekhtiev, Magomed F.
Description:	XVII, 212 p. 12 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mechanics. -
Online resource:	https://doi.org/10.1007/978-3-319-74354-7
ISBN:	9783319743547

Vibrations of Hollow Elastic Bodies
Mekhtiev, Magomed F.

Vibrations of Hollow Elastic Bodies[electronic resource] /by Magomed F. Mekhtiev. - 1st ed. 2018. - XVII, 212 p. 12 illus.online resource. - Advanced Structured Materials,881869-8433 ;. - Advanced Structured Materials,74.

Introduction -- 3D equations of dynamic elasticity in orthogonal co-ordinates -- Exact homogeneous and inhomogeneous solutions -- Cylinder of finite length -- Spherical layer -- Truncated cone -- Plates of variable thickness -- Free vibrations of cylinders and spheres -- Asymptotic analysis of thin-walled structures -- Validation of 2D engineering theories -- Conclusions.

This book focuses on the justification and refinement of highly diverse approximate dynamic models for engineering structures arising in modern technology, including high-tech domains involving nano- and meta-materials. It proposes a classification for vibration spectra over a broad frequency domain and evaluates the range of validity of various existing 2D theories for thin-walled shells by comparing them with 3D benchmark solutions. The dynamic equations in 3D elasticity are applied to the analysis of harmonic vibrations in hollow bodies with canonical shapes. New exact homogeneous and inhomogeneous 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.

ISBN: 9783319743547

Standard No.: 10.1007/978-3-319-74354-7doiSubjects--Topical Terms:

527684
Mechanics.

LC Class. No.: TA349-359

Dewey Class. No.: 531

Vibrations of Hollow Elastic Bodies
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