Abstract
In this paper, the instability problems of columns are analyzed by analytical and graphical methods for the cantilevered columns, which are subjected to axial and tangential rectangular periodic loads at the free ends. The effects of damping are also investigated on each system. The results are compared with those of columns under sinusoidal periodic loads in first and second modes. It is made clear that the instability regions of columns under rectangular loads are different from those under sinusoidal loads in two models (columns under axial load and tangential load).
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