変動軸圧縮力を受ける薄肉断面部材の動的不安定について

概要

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The dynamic instability of the simple supported thin-walled members under pulsating periodic axial loads is investigated by applying the finite strip method. Firstly the problems of the static buckling and the free vibration are examined. It is found that the vibration modes coincide with the static buckling modes for the simple supported thin-walled members even if local deformation is taken into account. Secondly the matrix equation of motion for the simple supported thin-walled member under pulsating periodic axial load is reduced to a set of uncoupled equations by consideration of orthogonality of eigenvectors. Each of the transformed equations is a single-degree-of-freedom equation of Mathie type, so that the dynamic instability regions for the thin-walled members can be illustrated by the well-known dynamic instability diagram. Furthermore, the characteristics of the dynamic responses of initially deflected members under pulsating loads are clarified by computation of the dynamic responses by applying Newmark's β method to numerical integration.
山梨大学の論文