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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

Contact Stresses in Dovetail Attachments: Physical Modeling

[+] Author and Article Information
G. B. Sinclair

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803-6413

N. G. Cormier

General Electric Aircraft Engines, 1 Neumann Way, Cincinnati, OH 45215

J. Eng. Gas Turbines Power 124(2), 325-331 (Mar 26, 2002) (7 pages) doi:10.1115/1.1415740 History: Received November 01, 1999; Revised February 01, 2000; Online March 26, 2002
Copyright © 2002 by ASME
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References

Sinclair,  G. B., Cormier,  N. G., Griffin,  J. H., and Meda,  G., 2002, “Contact Stresses in Dovetail Attachments: Finite Element Modeling,” J. Eng. Gas Turbines Power, 124, 182–191.
Cormier,  N. G., Smallwood,  B. S., Sinclair,  G. B., and Meda,  G., 1999, “Aggressive Submodeling of Stress Concentrations,” Int. J. Numer. Methods Eng., 46, pp. 889–909.
Hertz,  H., 1882, “On the Contact of Elastic Solids,” J. Reine Agnew. Mat., 92, pp. 156–171 (in German: for an account in English, see Johnson, 1985, Ch. 4.2). Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, U.K.
Sadowsky,  M. A., 1928, “Two-Dimensional Theory of Elasticity Theory,” Z. Angew. Mat. Mech., 8, pp. 107–121 (in German: for an account in English, see Johnson, 1985, Ch. 2.8).
Steuermann,  E., 1939, “To Hertz’s Theory of Local Deformations in Compressed Elastic Bodies,” C. R. (Dokl.) Acad. Sci. URSS, 25, pp. 359–361.
Poritsky,  H., 1950, “Stresses and Deflections of Cylindrical Bodies in Contact With Applications to Contact of Gears and of Locomotive Wheels,” ASME J. Appl. Mech., 17, pp. 191–201.
Michell,  J. H., 1902, “The Inversion of Plane Stress,” Proc. London Math. Soc., 34, pp. 134–142.
Levy,  M., 1898, “On the Elastic Equilibrium of a Masonary Dam of Triangular Cross Section,” C. R. de l’Académie des Sciences, 127, pp. 10–15.

Figures

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Dovetail attachment configuration: (a) section of overall attachment, (b) closeup of contact region, (c) closeup of disk near lower contact point with stresses acting
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Contact stress distribution (μ=0)
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Slipping in the presence of lateral deformation: (a) cork pressed into two inclined walls, (b) free-body diagram for the cork
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Free-body diagram of half of the blade section
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Comparison of nominal contact stresses (μ=0.4)
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Comparison of peak contact stresses (μ=0)
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Approximate decomposition near the edge of contact
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Hoop stress variation near the edge of contact for 20 percent unloading (μ=0.4)
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Comparison of hoop stresses
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Surface stresses for sliding roller: (a) contact and hoop stresses without friction, (b) shear and hoop stresses due to friction

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