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THE IN-VACUO VIBRATIONS OF A SIMPLY SUPPORTED, RING-STIFFENED, MASS-LOADED CYLINDRICAL SHELL.

C. D. Michalopoulos, D. Muster

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Abstract

Abstract : The present investigation is an analytical study of the in-vacuo free vibrations of a simply supported, mass-loaded thin cylindrical shell which is reinforced by equally spaced ring stiffeners. Four masses are attached to each stiffening ring in a plane-symmetric fashion. The rotatory inertia of the mass loads is taken into account, but similar effects for the shell and ring stiffeners are neglected. Lagrange's equations are used to derive the dynamic equations of the structure. Results are given for various combinations of length, radius and thickness of the shell, number of stiffening rings, and value and position of mass loads. When the value of the masses is allowed to become zero, the results for the ring-stiffened shell are in close agreement with those of previous investigators. (Author)

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Abstract : The present investigation is an analytical study of the in-vacuo free vibrations of a simply supported, mass-loaded thin cylindrical shell which is reinforced by equally spaced ring stiffeners. Four masses are attached to each stiffening ring in a plane-symmetric fashion. The rotatory inertia of the mass loads is taken into account, but similar effects for the shell and ring stiffeners are neglected. Lagrange's equations are used to derive the dynamic equations of the structure. Results are given for various combinations of length, radius and thickness of the shell, number of stiffening rings, and value and position of mass loads. When the value of the masses is allowed to become zero, the results for the ring-stiffened shell are in close agreement with those of previous investigators. (Author)

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Available abstract

Abstract : The present investigation is an analytical study of the in-vacuo free vibrations of a simply supported, mass-loaded thin cylindrical shell which is reinforced by equally spaced ring stiffeners. Four masses are attached to each stiffening ring in a plane-symmetric fashion. The rotatory inertia of the mass loads is taken into account, but similar effects for the shell and ring stiffeners are neglected. Lagrange's equations are used to derive the dynamic equations of the structure. Results are given for various combinations of length, radius and thickness of the shell, number of stiffening rings, and value and position of mass loads. When the value of the masses is allowed to become zero, the results for the ring-stiffened shell are in close agreement with those of previous investigators. (Author)

Key concepts: Stiffening, Shell (structure), Ring (chemistry), Vibration, Inertia, RADIUS, Plane (geometry), Position (finance)

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THE IN-VACUO VIBRATIONS OF A SIMPLY SUPPORTED, RING-STIFFENED, MASS-LOADED CYLINDRICAL SHELL. — Research Paper | ScholarLens