Buckling analysis of non-prismatic columns based on modified vibration modes |
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Authors: | AR Rahai S Kazemi |
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Institution: | aDepartment of Civil Engineering, Amirkabir University of Technology (Tehran Polytechnic), No. 424 Hafez Avenue, Tehran 15875-4413, Iran |
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Abstract: | In this paper, a new procedure is formulated for the buckling analysis of tapered column members. The calculation of the buckling loads was carried out by using modified vibrational mode shape (MVM) and energy method. The change of stiffness within a column is characterized by introducing a tapering index. It is shown that, the changes in the vibrational mode shapes of a tapered column can be represented by considering a linear combination of various modes of uniform-section columns. As a result, by making use of these modified mode shapes (MVM) and applying the principle of stationary total potential energy, the buckling load of tapered columns can be obtained. Several numerical examples on tapered columns demonstrate the accuracy and efficiency of the proposed analytical method. |
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Keywords: | Buckling Tapered column Dynamic equation of motion Energy method Buckling eigen-vector Vibrational eigen-vector |
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