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Creation of Ship Body Form with Minimum Theoretical Resistance Using Finite Element Method

In: Numerical Techniques for Engineering Analysis and Design

Author

Listed:
  • Jan P. Michalski

    (Technical University of Gdansk)

  • Antti Pramila

    (Tampere University of Technology)

  • Simo Virtanen

    (Tampere University of Technology)

Abstract

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.

Suggested Citation

  • Jan P. Michalski & Antti Pramila & Simo Virtanen, 1987. "Creation of Ship Body Form with Minimum Theoretical Resistance Using Finite Element Method," Springer Books, in: G. N. Pande & J. Middleton (ed.), Numerical Techniques for Engineering Analysis and Design, chapter 0, pages 263-270, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-3653-9_30
    DOI: 10.1007/978-94-009-3653-9_30
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