Localized Dynamics of Thin-Walled Shells

Gennadi I. Mikhasev (Belarusian State University), Petr E. Tovstik

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English

CRC Press
15 April 2020

Applied mathematics; Mechanical engineering; Dynamics & vibration; Environmental science, engineering & technology

Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Localized Dynamics of Thin-Walled Shells focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory, in the form of functions which are highly localized near both fixed and moving lines/points on the shell surface.

Features

First-of-its-kind work, synthesizing knowledge of the localization of vibrations and waves in thin-walled shells with a mathematical tool to study them

Suitable for researchers working on the dynamics of thin shells and also as supplementary reading for undergraduates studying asymptotic methods

Offers detailed analysis of wave processes in shells with varying geometric and physical parameters

By: Gennadi I. Mikhasev (Belarusian State University), Petr E. Tovstik
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 834g
ISBN: 9781138069749
ISBN 10: 1138069744
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Pages: 350
Publication Date: 15 April 2020
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Hardback
Publisher's Status: Active

1. Introduction. 2. Equations of the two-dimensional theory of shells. 3. Localized vibration modes of plates and shells of revolution. 4. Localized vibration modes of cylindrical and conic shells. 5. Localized Parametric Vibrations of Thin Shells. 6. Wave Packets in Medium-length Cylindrical Shells. 7. Effect of External Forces on Wave Packets in Zero Curvature Shells. 8. Wave Packets in Long Shells of Revolution Travelling in the Axial Direction. 9. Two-dimensionalWave Packets in Shells of Arbitrary Shape.

Gennadi I. Mikhasev is an expert in the theory of non-stationary localized dynamics of thin shells and in the mathematical modelling in biomechanics. He is a co-author of two monographs in mechanics of thin shells, two handbooks in bio-mechanics, and of around 100 papers. He is the head of the department of Bio- and Nanomechanics in the Belarusian State University, as well as a part-time researcher in the laboratory of Theoretical and Applied Mechanics. Petr E. Tovstik is a specialist in the theory of asymptotic methods and its applications to the shell vibrations and buckling and to the various branches of mechanics. He is a co-author of ten monographs and of around 150 papers. He is the head of department of Theoretical and Applied Mechanics of the Sankt Petersburg State University, as well a part-time researcher in the Institute of Mechanical Engineering.