Summary
The paper presents an approximate solution of a nonlinear, isoperimetric and stationary variational problem. This is a mathematical model of an interesting engineering task in the field of Naval Architecture: creation process of such a surface S(Ω)⊂R3 which describes a ship body form with minimum theoretical total resistance for a given velocity of the ship. The surface S is a graph of an extremal which minimizes a functional representing mathematical model of ship resistance.
An analytical model of the problem is formulated, and next, it is discretised using FEM approximation procedure with such basis and transformation functions that local domains are convex and global solution is of class C1(Ω) on a given domain Ω⊂R2.
Using Ritz-finite element method the conditions for a stationary point are formulated and the solution is sought by math ematical programming technique. An illustrative example on an engineering task and a graphical representation of the solution is shown.
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References
Webster, W.C. and Wehausen, J.V., ‘Schiffe Geringsten Wellenwiderstandes mit Vorgegebenem Hinterschiff’, Schiffstechnik, Vol. 9 (1962), 62–68.
Lin, W.C., Webster, W.C., and Wehausen, J.V., ‘Ships of Minimum Total Resistance’, Report No. NA-63-7, Institute of Engineering Research, University of California at Berkeley, Aug. (1963).
Hsiung, C.C. and Shenyan, D., ‘Optimal Ship Forms for Minimum Total Resistance’, Journal of Ship Research’, 3 (1984), 163–172.
Michell, J.H., ‘The Wave Resistance of a Ship’, Philosophical Magazine, 45, (1898) 106–123.
Mikhlin, S.G. - The Numerical Performance of Variational Methods, Wolters-Nordhoff, The Netherlands, 1971.
Faux, I.D. and Pratt, M.A. - Computational Geometry for Design and Manufacture, Ellis Horwood Limited, Chichester, 1985.
Krylov, I.V. - Approximate Calculation of Integrals, The Macmillan Company, New York, 1962.
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© 1987 Martinus Nijhoff Publishers, Dordrecht
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Michalski, J.P., Pramila, A., Virtanen, S. (1987). Creation of Ship Body Form with Minimum Theoretical Resistance Using Finite Element Method. In: Pande, G.N., Middleton, J. (eds) Numerical Techniques for Engineering Analysis and Design. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3653-9_30
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DOI: https://doi.org/10.1007/978-94-009-3653-9_30
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8134-4
Online ISBN: 978-94-009-3653-9
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