曲げ剛性などの変化する棒の横振動

概要

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The author solves by a successive approximation method the integral equation of the laterally vibrating bar which is built in at the one end and compressed axially. He seeks a solution of the equation in case that bending flexibility, density, sectional area and axial thrust are variable in the axial direction. Let the frequency be equal to zero, then the buckling load is obtained. As an example of numerical values, frequencies and buckling loads are given when both ends are built in and when the reciprocal of bending flexibility is a+bx^2, where a and b are constants, and x is the coordinate along the axis of the bar, and density, sectional area and axial thrust are constants. And finally, the variations of the frequencies and the buckling loads are obtained for a certain value of b/a.
山形大学の論文
1961-02-28