二次元理論による厚肉回転円筒殻の振動解析

抄録

Vibration analysis of infinite thick rotating cylindrical shells is described on the basis of the two-dimensional elasticity theory. Starting from the state of plane strain, the basic equation in the steady rotating state, which is used to obtain the initial stresses, is derived from Hamilton's principle, and the frequency equation, including the effect of the initial stresses due to the rotation, is formulated by Ritz's method. The numerical results for the frequencies in the non-rotating and rotating state are compared with those based on Timoshenko type shell theory and the available range in the latter theory is examined about the thickness and rotating speed of a shell.