Asymptotic analysis of a turbine blade[1]This work has been partially supported by Project XUGA11601A97 of Xunta de Galicia, Spain.

Article type: Research Article

Authors: Rodríguez, José M.

Affiliations: Departamento de Métodos Matemáticos y de Representación, E.T.S. de Arquitectura, Universidad de A Coruña, Campus de A Zapateira, s/n 15071 A Coruña, Spain E‐mail: [email protected]

Abstract: In this paper we obtain a limit model for a turbine blade fixed to a 3D solid. This model is a three‐dimensional elasticity problem in the 3D part of the piece (the rotor) and a two‐dimensional problem (the 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 shall do an asymptotic analysis, starting with the linear three‐dimensional elasticity equations on all the piece and taking as a small parameter the thickness of the blade. Finally, we shall make some comments about what happens in the nonlinear case.

Journal: Asymptotic Analysis, vol. 21, no. 3‐4, pp. 239-273, 1999