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Vibrations of hollow elastic bodies

Mekhtiev, Magomed F.

Vibrations of hollow elastic bodies

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Vibrations of hollow elastic bodiesby Magomed F. Mekhtiev.
作者:	Mekhtiev, Magomed F.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xvii, 212 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Shells (Engineering)Vibration.
電子資源:	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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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.
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