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 in | Transactions of the Japan Society of Mechanical Engineers Series A Vol. 54; no. 507; pp. 1943 - 1948 |
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Main Authors | , , |
Format | Journal Article |
Language | English Japanese |
Published |
The Japan Society of Mechanical Engineers
1988
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Subjects | |
Online Access | Get full text |
ISSN | 0387-5008 1884-8338 |
DOI | 10.1299/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. |
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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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DOI | 10.1299/kikaia.54.1943 |
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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... |
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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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