回転する異方性一般軸対称殼の振動解析

概要

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A general analysis method for the free vibration of rotaing anisotropic shells of revolution is developed. The basic equations, including the effect of the initial stresses due to the rotation, are formulated by the finite element method. A shell of revolution is treated as a set of conical shell elements and the characteristic relations for finite elements are derived from the energy principle by considering the finite strain. In this derivation, two types of shell theories are used, i. e., Flugge-type shell theory and Timoshenko-type shell theory. The equations of motion can be separated into the quasi-static and dynamic ones, i. e., equations in the steady rotaing state and those in the vibrating state. The frequency analysis is carried out for rotating cylindrical, truncated conical and partial spherical shells.
社団法人日本機械学会の論文
1993-10-25