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Localized Dynamics of Thin-Walled Shells




ISBN 9781138069749
Published April 15, 2020 by Chapman and Hall/CRC
366 Pages 79 B/W Illustrations

 
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Book Description

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

Table of Contents

Chapter 1: Introduction. 

Chapter 2: Equations of the two-dimensional theory of shells. 

Chapter 3: Localized vibration modes of plates and shells of revolution. 

Chapter 4: Localized vibration modes of cylindrical and conic shells. 

Chapter 5: Localized Parametric Vibrations of Thin Shells. 

Chapter 6: Wave Packets in Medium-length Cylindrical Shells. 

Chapter 7: Effect of External Forces on Wave Packets in Zero Curvature Shells. 

Chapter 8: Wave Packets in Long Shells of Revolution Travelling in the Axial Direction. 

Chapter 9: Two-dimensionalWave Packets in Shells of Arbitrary Shape. 

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Author(s)

Biography

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.