Localized dynamics of thin-walled shells
著者
書誌事項
Localized dynamics of thin-walled shells
(Monographs and research notes in mathematics)
CRC Press, 2020
1st ed
- : hbk
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注記
"A Chapman & Hall Book"
Bibliography: p. 325-343
Includes index
収録内容
- Introduction
- Equations of the two-dimensional theory of shells
- Localized vibration modes of plates and shells of revolution
- Localized vibration modes of cylindrical and conic shells
- Localized parametric vibrations of thin shells
- Wave packets in medium-length cylindrical shells
- Effect of external forces on wave packets in zero curvature shells
- Wave packets in long shells of revolution travelling in the axial direction
- Two-dimensional wave packets in shells of arbitrary shape
内容説明・目次
内容説明
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
目次
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.
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