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2002 | 12 | 1 | 101-113
Tytuł artykułu

A nonlinear model of a turbine blade by asymptotic analysis

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper we obtain a limit model for a turbine blade fixed to a 3D solid. This model is a three-dimensional linear elasticity problem in the 3D part of the piece (the rotor) and a two-dimensional problem (the nonlinear shallow shell equations) in the 2D part (the turbine blade), with junction conditions in the part of the turbine blade fixed to the rotor. To obtain this model, we perform an asymptotic analysis, starting with the nonlinear three-dimensional elasticity equations on all the pieces and taking as a small parameter the thickness of the blade.
Rocznik
Tom
12
Numer
1
Strony
101-113
Opis fizyczny
Daty
wydano
2002
otrzymano
2001-09-01
poprawiono
2002-01-01
Twórcy
  • Departamento de Métodos Matemáticos y de Representación, E.T.S. de Arquitectura, Universidade da Coruña, Campus da Zapateira, s/n. 15071 A Coruña, Spain
Bibliografia
  • Bernadou M., Fayolle S. and Lene F. (1989): Numerical analysis of junctions between plates. - Comp. Meth. Appl. Mech. Eng., Vol. 74, No. 3, pp. 307-326.
  • Bernadou M. and Lalanne B. (1987): Calcul de deplacements, contraintes, modes propes de pales tournantes. - Rapport final de l'operation n^0 83322. Contrat DRETINRIA 1584.01.1103.1.
  • Bernadou M. and Oden T. (1981): An existence theorem for a class of non linear shallow shells problems. - J. Math. Pures Appl., Vol. 60, No. 3, pp. 285-308.
  • Ciarlet P.G. (1988): Mathematical Elasticity, Vol. I: Three-Dimensional Elasticity. - Amsterdam: North-Holland.
  • Ciarlet P.G. (1990): Plates and Junctions in Elastic Multistructures. - Paris: Masson.
  • Ciarlet P.G. (1997): Mathematical Elasticity, Vol. II: Theory of Plates. - Amsterdam: North-Holland.
  • Ciarlet P.G. (2000): Mathematical Elasticity, Vol. III: Theory of Shells. - Amsterdam: North-Holland.
  • Ciarlet P.G. and Le Dret H. (1989): Justification of the boundary conditions of a clamped plate by an asymptotic analysis. - Asympt. Anal., Vol. 2, No. 4, pp. 257-277.
  • Ciarlet P.G., Le Dret H. and Nzengwa R. (1989): Junctions between three-dimensional and two-dimensional linearly elastic structures. - J. Math. Pures Appl., Vol. 68, No. 3, pp. 261-295.
  • Ciarlet P.G. and Miara B. (1992): Justification of the Two-Dimensional Equations of a Linearly Elastic Shallow Shell. - Comm. Pure Appl. Math., Vol. 45, No. 3, pp. 327-360.
  • Ciarlet P.G. and Paumier J.C. (1986): A justification of the Marguerre-von Karman equations. - Comp. Mech., Vol. 1, pp. 177-202.
  • Destuynder P. (1986): Une Theorie Asymptotique des Plaques Minces en Elasticite Lineaire. - Paris: Masson.
  • El Chazly N.M. (1993): Static and dynamic analysis of wind turbine blades using the finite element method. - Int. J. Num. Meth. Eng., Vol. 36, No. 16, pp. 2791-2804.
  • Le Dret H. (1989): Folded plates revisited. - Comp. Mech., Vol. 5, No. 5, pp. 345-365.
  • Le Dret H. (1990): Modeling of a folded plate. - Comp. Mech., Vol. 5, No. 6, pp. 401-416.
  • Le Dret H. (1991): Problèmes Variationnels dans les Multi-Domaines: Modelisation des Jonctions et Applications. - Paris: Masson.
  • Rodriguez J.M. (1997): Analyse asymptotique des pales de turbines et des poutres à profil mince. - Ph.D. Thesis, Universite Paris 6, Paris.
  • Rodriguez J.M. (1999): Asymptotic analysis of a turbine blade. - Asympt. Anal., Vol. 21, No. 3-4, pp. 239-273.
  • Trabucho L. and Via no J.M. (1996): Mathematical modelling of rods, In: Handbook of Numerical Analysis, Vol. IV (P.G. Ciarlet and J.L. Lions, Eds.). - Amsterdam: North-Holland, pp. 487-974.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv12i1p101bwm
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