The mechanics of vibrations of cylindrical shells
著者
書誌事項
The mechanics of vibrations of cylindrical shells
（Studies in applied mechanics, 17）
Elsevier, 1988
- タイトル別名
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Mechanika kmitania valcových škrupín
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注記
Bibliography: p. [154]-155
Translation of: Mechanika kmitania valcových škrupín
Includes index
内容説明・目次
内容説明
The primary aim of this book is to give the reader an insight into the mechanics of vibrations of cylindrical shells, rather than to present him with a method for straightforward eigendata calculations. The contents are laid out phenomenologically. The first chapter conveys an elementary idea on the elastic strain in a thin shell, arising from the so-called membrane theory, the limitations of this theory are assessed with a clear physical interpretation of its drawbacks. The main emphasis of the book lies in the second chapter, where the reader will find a rigorous interpretation of the fundamental aspects of the so-called bending theory of shells. The major part of this chapter is devoted to thin-shell deformation theories. The solution of the exact equations of dynamic equilibrium that can be derived by the underlying linear theory of mathematical elasticity is discussed in the third chapter. The fourth chapter is an extension of the original Slovak version of this book. New research data in the field of vibrations of shell-like structures are presented mainly for layered shells. A simple mathematical approach is used throughout the book.
目次
1. The Membrane Theory of Cylindrical Shells. Equations of static equilibrium. Equations of dynamic equilibrium. Equations of deformation of the cylindrical shell. Solution of the natural vibration problem. Constraints of the membrane theory of cylindrical shells. References. 2. The Bending Theory of Cylindrical Shells. Axisymmetrically loaded cylindrical shells. The general deformation theory of thin cylindrical shells. 3. Accurate Equations of Motion of Cylindrical Shell Vibration. Solution of the equations of motion. The frequency equation. Comparison of the precise theory with Flugge's approximate theory. References. 4. The Theory of Damped, Two-Layered Cylindrical Shells. Fundamental assumptions. Derivation of the equations of motion. Characteristics of damped vibrations of two-layered shells. References. Additional bibliography on shell vibration. Index.
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