Research Papers

Three-Dimensional Finite Element Analysis of Dovetail Attachments With and Without Crowning

[+] Author and Article Information
J. R. Beisheim

Development Group, ANSYS, Inc., Canonsburg, PA 15317

G. B. Sinclair

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803

The stresses used to do this averaging are taken from Brothers (21) and integrated with a numerical quadrature scheme that recognizes the singularities of 25,26.

J. Turbomach 130(2), 021012 (Mar 21, 2008) (8 pages) doi:10.1115/1.2751486 History: Received August 10, 2006; Revised September 05, 2006; Published March 21, 2008

The stress analysis of dovetail attachments presents some challenges. These stem from the high stress gradients present, the contact inequalities attending conforming contact, and the nonlinearities inherent in Coulomb friction laws. Obtaining converged contact stresses in the presence of these phenomena is demanding, especially in three dimensions. In Beisheim and Sinclair (2003, ASME J. Turbomach., 125, pp. 372–379), a submodeling approach with finite elements is employed to meet these challenges when friction is not present. Here we extend this approach to treat contact when friction is present. Converged stresses are obtained by using two successive submodels. Comparing these stresses with two-dimensional analysis elucidates some of the truly three-dimensional aspects of the stress analysis of dovetail attachments. Further comparisons of contact stresses when crowning is added indicate the possible alleviation of fretting fatigue that may be afforded by this means.

Copyright © 2008 by American Society of Mechanical Engineers
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Figure 5

Dovetail attachment test piece

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Figure 6

Crowning profile

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Figure 7

Coarse finite element grids for dovetail attachment test piece: (a) global grid, (b) first submodel grid, and (c) second submodel grid

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Figure 8

Contact stress results: (a) blade segment with lines along which stresses are taken, (b) comparison of plane strain and 3D stresses, (c) comparison of plane strain with simulated shear transfer and 3D stresses, and (d) 3D “corner” effect on stresses (μ=0)

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Figure 9

Contact stress with and without crowning along r3 of Fig. 8

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Figure 2

Finite element grids: (a) coarse global grid, (b) close-up of coarse global grid with submodel region shown shaded solid, and (c) coarse submodel grid

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Figure 3

Contact stress distributions (μ=0)

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Figure 4

Hoop stress variations near the edge of contact for 20% unloading (μ=0.4)

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Figure 1

Dovetail attachment configuration: (a) section of overall attachment, (b) close-up of disk near lower contact point with stresses acting, (c) in-plane crown on blade flat, and (d) out-of-plane section BB′



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