Overview
- Refines highly diverse approximate dynamic models for modern engineering structures
- Offers new and exact homogeneous and inhomogeneous solutions for cylinders, spheres and cones, including spherical and conical layers
- Provides a classification for vibration spectra over a broad frequency domain
Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 88)
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Table of contents (4 chapters)
Keywords
About this book
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.
Authors and Affiliations
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Bibliographic Information
Book Title: Vibrations of Hollow Elastic Bodies
Authors: Magomed F. Mekhtiev
Series Title: Advanced Structured Materials
DOI: https://doi.org/10.1007/978-3-319-74354-7
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2018
Hardcover ISBN: 978-3-319-74353-0Published: 12 February 2018
Softcover ISBN: 978-3-319-89276-4Published: 07 June 2019
eBook ISBN: 978-3-319-74354-7Published: 02 February 2018
Series ISSN: 1869-8433
Series E-ISSN: 1869-8441
Edition Number: 1
Number of Pages: XVII, 212
Number of Illustrations: 12 b/w illustrations
Topics: Solid Mechanics, Characterization and Evaluation of Materials, Vibration, Dynamical Systems, Control