マンガン団塊の採鉱に伴う揚鉱管の自由横振動解析

A mathematical description of free lateral vibrations of a pipe string, which is designed for mining manganese nodules in the deep ocean, leads to an eigenvalue problem containing a small parameter multiplying the highest derivative of its differential operator. This problem is analyzed by an asympt...

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Bibliographic Details
Published in日本機械学会論文集 C編 Vol. 55; no. 517; pp. 2313 - 2318
Main Authors 谷, 順二, 袁, 世峰, 麻生, 和夫
Format Journal Article
LanguageJapanese
Published 一般社団法人 日本機械学会 25.09.1989
一般社団法人日本機械学会
The Japan Society of Mechanical Engineers
Subjects
Asymptotic Analysis
Free Lateral Vibration
Method of Composite Expansions
Natural Frequency
Natural Mode
Ocean Mining
Pipe String
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ISSN0387-5024
1884-8354
DOI10.1299/kikaic.55.2313

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Summary:A mathematical description of free lateral vibrations of a pipe string, which is designed for mining manganese nodules in the deep ocean, leads to an eigenvalue problem containing a small parameter multiplying the highest derivative of its differential operator. This problem is analyzed by an asymptotic theory, de Groen's method, and natural frequencies and modes are evaluated. furthermore, The effects of internal fluid on the motion of the pipe string are investigated. It is shown that the algorithm developed is an effective one, providing highly accurate solutions even if only the zero approximation is used.
ISSN:0387-5024
1884-8354
DOI:10.1299/kikaic.55.2313