Static Behavior of a Pipe String Designed for Mining Manganese Nodules

On the basis of linear beam theory, the static behavior of a pipe string designed for mining manganese nodules is formulated as a singularly perturbed boundary-value problem. This problem is analyzed by the method of matched asymptotic expansions and Galerkin's method. Static pipe deflections a...

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Published inTransactions of the Japan Society of Mechanical Engineers Series A Vol. 54; no. 507; pp. 1943 - 1948
Main Authors ASO, Kazuo, TANI, Junji, YUAN, Shifeng
Format Journal Article
LanguageEnglish
Japanese
Published The Japan Society of Mechanical Engineers 1988
Subjects
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ISSN0387-5008
1884-8338
DOI10.1299/kikaia.54.1943

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Abstract On the basis of linear beam theory, the static behavior of a pipe string designed for mining manganese nodules is formulated as a singularly perturbed boundary-value problem. This problem is analyzed by the method of matched asymptotic expansions and Galerkin's method. Static pipe deflections and bending moments are evaluated for the practical range of towing speeds of the ship. The pipe deflections obtained by Galerkin's method agree well with those by the method of matched asymptotic expansions. However, it is found that Galerkin's method with the beam function is not effective in evaluating bending moments of the pipe string.
AbstractList On the basis of linear beam theory, the static behavior of a pipe string designed for mining manganese nodules is formulated as a singularly perturbed boundary-value problem. This problem is analyzed by the method of matched asymptotic expansions and Galerkin's method. Static pipe deflections and bending moments are evaluated for the practical range of towing speeds of the ship. The pipe deflections obtained by Galerkin's method agree well with those by the method of matched asymptotic expansions. However, it is found that Galerkin's method with the beam function is not effective in evaluating bending moments of the pipe string.
Author TANI, Junji
ASO, Kazuo
YUAN, Shifeng
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References (2) Chung, J. S. and Felippa, C. A., Nonlinear Static Analysis of Deep Ocean Mining Pipe, Part II: Numerical studies,文献(1)の16ページ.
(4) Nayfeh, A. H., Perturbation Methods, (1973), 110, Wiley-Interscience.
(5) Bender, C. M. and Orszag, S. A., Advanced Mathemati. cal Methods For Scientists and Engineers, (1978), 417, McGraw-Hill.
(3) Tikhonov, V. S., Fisher, A. S. and Zubarev, V. K., An Efficient Procedure of Static Analysis of Long Ocean Mining Pipe, Trans. ASME, J. Energy Resour. Tech nol., 106 (1984), 329.
(1) Felippa, C. A. and Chung, J. S., Nonlinear Static Analysis of Deep Ocean Mining Pipe, Part I: Modelling and Formulation, Trans. ASME, J. Energy Resour. Technol., 103 (1981), 11.
References_xml – reference: (3) Tikhonov, V. S., Fisher, A. S. and Zubarev, V. K., An Efficient Procedure of Static Analysis of Long Ocean Mining Pipe, Trans. ASME, J. Energy Resour. Tech nol., 106 (1984), 329.
– reference: (1) Felippa, C. A. and Chung, J. S., Nonlinear Static Analysis of Deep Ocean Mining Pipe, Part I: Modelling and Formulation, Trans. ASME, J. Energy Resour. Technol., 103 (1981), 11.
– reference: (4) Nayfeh, A. H., Perturbation Methods, (1973), 110, Wiley-Interscience.
– reference: (2) Chung, J. S. and Felippa, C. A., Nonlinear Static Analysis of Deep Ocean Mining Pipe, Part II: Numerical studies,文献(1)の16ページ.
– reference: (5) Bender, C. M. and Orszag, S. A., Advanced Mathemati. cal Methods For Scientists and Engineers, (1978), 417, McGraw-Hill.
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Snippet On the basis of linear beam theory, the static behavior of a pipe string designed for mining manganese nodules is formulated as a singularly perturbed...
SourceID jstage
SourceType Publisher
StartPage 1943
SubjectTerms Bending Moment
Boundary Layer
Deep Ocean Mining
Deflection
Galerkin's Method
Perturbation Method
Pipe String
Title Static Behavior of a Pipe String Designed for Mining Manganese Nodules
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