Vibrations of hollow elastic bodies 1st ed.

Author

• Mekhtiev, Magomed F.

Additional Author(s)

-

Publisher

Cham, Switzerland : Springer International Publishing, 2018

Language

English

ISBN

9783319743547

Series

Advanced structured materials 88

Subject(s)

• MATERIALS SCIENCE
• VIBRATION

Notes

. .

Abstract

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.

Physical Dimension

Number of Page(s)

1 online resource (xvii, 212 p.)

Dimension

-

Other Desc.

ill.

Summary / Review / Table of Content

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.

Exemplar(s)

#	Accession No.	Call Number	Location	Status
1.	02013/20	624.17762 Mek V	Online !	Available