The mechanics of vibrations of cylindrical shells

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.