Gennadi I. Mikhasev, Petr E. Tovstik
Chapman and Hall/CRC
April 9, 2020 Forthcoming
Reference - 350 Pages - 79 B/W Illustrations
ISBN 9781138069749 - CAT# K33585
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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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.
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.