Abstract
The vibration of a two-section column under gravity effects is studied using an efficient initial value method. The problem is governed by the length and area ratios of the two sections in addition to gravity. For the standing column, the stability boundaries show looped properties. The first three frequencies for both standing and hanging two-section columns are determined. For given total volume or mass, there exists an optimum length and area ratios of the two sections for the highest fundamental frequency.
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