マンガン団塊の採鉱に伴う揚鉱管の安定性とその定常振動

概要

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This paper presents a theoretical analysis of the dynamic instability and postflutter vibrations of a pipe string designed for mining manganese nodules in the deep ocean, which conveys fluid from its free lower end to the simply supported upper end. First, for the simulation of a more general and practical case, the equation of motion of the pipe string is formulated by considering the effect of the constant relative velocity between the sea current and the towing motion of the pipe string during mining operations. Second, by using Galerkin's method, the equation of motion is discretized into a set of coupled nonlinear differential equations, which are then solved by means of the Krylov-Bogoliubov-Mitrorpolsky method. Finally, the critical internal flow velocity and the limit cycle amplitude with its frequency are evaluated, and then the results are compared against those obtained by the method of direct numerical integration in order to check their validity and accuracy.
一般社団法人日本機械学会の論文
1989-12-25