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.
- 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.
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.