段付き噴水形棒の面内振動

概要

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A stepped fountain-shaped rod is defined as a straight rod whose tip is symmetrically connected to two arc-shaped rods and whose sections suddenly vary stepwise at the joint part. Both parts are identical in material and have a large slenderness ratio. The purpose of this study is to obtain the natural frequency of this rod in a dimensionless form. Using Hamilton's principle, the authors set up the equation of vibration, boundary conditions, and conditions of continuity for the rod under in-plane vibration and then introduced the frequency equation thereof. This paper shows the relation between the non-dimensionalized natural frequency and its governing factors for several examples and describes the natural mode of vibration as well. It also states the authors finding that solving the frequency equation of the stepped fountain-shaped rod gives the non-dimensionalized natural frequency of a flare-shaped rod having no straight part.
社団法人日本機械学会の論文
1987-09-25