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Vibrations of hollow elastic bodies

Mekhtiev, Magomed F.

Vibrations of hollow elastic bodies

Record Type:	Electronic resources : Monograph/item
Title/Author:	Vibrations of hollow elastic bodiesby Magomed F. Mekhtiev.
Author:	Mekhtiev, Magomed F.
Published:	Cham :Springer International Publishing :2018.
Description:	xvii, 212 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Shells (Engineering)Vibration.
Online resource:	http://dx.doi.org/10.1007/978-3-319-74354-7
ISBN:	9783319743547$q(electronic bk.)

Vibrations of hollow elastic bodies
Mekhtiev, Magomed F.

Vibrations of hollow elastic bodies[electronic resource] /by Magomed F. Mekhtiev. - Cham :Springer International Publishing :2018. - xvii, 212 p. :ill., digital ;24 cm. - Advanced structured materials,v.881869-8433 ;. - Advanced structured materials ;v.13..

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$q(electronic bk.)

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

666894
Shells (Engineering)
--Vibration.

LC Class. No.: TA660.S5

Dewey Class. No.: 624.17762

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100 1 $a Mekhtiev, Magomed F. $3 806556
245 1 0 $a Vibrations of hollow elastic bodies $h [electronic resource] / $c by Magomed F. Mekhtiev.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xvii, 212 p. : $b ill., digital ; $c 24 cm.
490 1 $a Advanced structured materials, $x 1869-8433 ; $v v.88
505 0 $a 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.
520 $a 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.
650 0 $a Shells (Engineering) $x Vibration. $3 666894
650 1 4 $a Engineering. $3 210888
650 2 4 $a Continuum Mechanics and Mechanics of Materials. $3 273691
650 2 4 $a Characterization and Evaluation of Materials. $3 273978
650 2 4 $a Vibration, Dynamical Systems, Control. $3 274667
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Advanced structured materials ; $v v.13. $3 557986
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-74354-7
950 $a Engineering (Springer-11647)