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1969•Bulletin of JSMEOpen access

The Vibration of a Cylindrical Shell with Three Supports

Shin TAKAHASHI

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Abstract

The vibration of a thin cylindrical shell is studied through the method of minimizing the Lagrangian of the vibration of a cylindrical shell. The frequencies and the modes of the cylinder with three supports are obtained and the frequency equations and the frequencies of single cylinders with some boundary conditions are also shown. The method mentioned above is useful to treat the vibration of such systems which have various boundary conditions, or the system consisting of a cylinder and some elastic bodies.

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The vibration of a thin cylindrical shell is studied through the method of minimizing the Lagrangian of the vibration of a cylindrical shell. The frequencies and the modes of the cylinder with three supports are obtained and the frequency equations and the frequencies of single cylinders with some boundary conditions are also shown. The method mentioned above is useful to treat the vibration of such systems which have various boundary conditions, or the system consisting of a cylinder and some elastic bodies.

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Available abstract

The vibration of a thin cylindrical shell is studied through the method of minimizing the Lagrangian of the vibration of a cylindrical shell. The frequencies and the modes of the cylinder with three supports are obtained and the frequency equations and the frequencies of single cylinders with some boundary conditions are also shown. The method mentioned above is useful to treat the vibration of such systems which have various boundary conditions, or the system consisting of a cylinder and some elastic bodies.

Key concepts: Vibration, Shell (structure), Cylinder, Boundary value problem, Mechanics, Lagrangian, Boundary (topology), Acoustics

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