内部に流体が流れつつあるところの弾性真直管の横振動

概要

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In this paper, natural vibration of a straight pipe of elastic material, inside which a liquid flows at a constant velocity, is considered theoretically. The calculation is based on an equation of vibration of such a pipe, which the author introduced some twenty years ago. This equation is somewhat different from that given by H. Ashley and G. Haviland in a recent paper. Moreover, the calculation is made by means of method of successive approximations, and is carried out to the second stage of approximation. According to this estimation, it is seen that natural frequency of lateral vibration is slightly lowered, when the flowing velocity V exists, as compared with the case of V=0. Also there appears a damping force, which gives rise to a damping factor δ of oscillation (y=c-<δt> sinβt) nearly proportional to the third power of V. The results are given in a form of simple algebraic expression.
一般社団法人日本機械学会の論文