Optimization of Turbine Disk Profiles by Metamorphic Development

[+] Author and Article Information
Jing-Sheng Liu

Department of Engineering, University of Hull, Hull, HU6 7RX, UKe-mail: J.S.Liu@hull.ac.uk

Geoffrey T. Parks, P. John Clarkson

Department of Engineering, University of Cambridge, Cambridge, CB2 1PZ, UK

J. Mech. Des 124(2), 192-200 (May 16, 2002) (9 pages) doi:10.1115/1.1467079 History: Received January 01, 2001; Online May 16, 2002
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.


Donath, M., 1912, Die Berechnung rotierender Scheiben und Ringe, Berlin.
Stodola, A., (translated by Loewenstein, L.C.), 1927, Steam and Gas Turbines, 6th edition, McGraw-Hill Book Company, New York.
Rowe,  J.H., 1957, “How to Find the Thickness of a Constant Stress Disk,” Prod. Eng. (N.Y.), 28, pp. 211–215.
Seireg,  A., and Surana,  K.S., 1970, “Optimum Design of Rotating Disks,” ASME J. Eng. Ind., pp. 1–10.
Bhavikatti,  S.S., and Ramakrishnan,  C.V., 1980, “Optimum Shape Design of Rotating Disks,” Comp. & Struct., 11, pp. 397–401.
Luchi,  M.L., Poggialini,  A., and Persiani,  F., 1980, “An Interactive Optimization Procedure Applied to the Design of Gas Turbine Discs,” Comp. & Struct., 11, pp. 629–637.
Cheu,  T.-C., 1990, “Procedures for Shape Optimization of Gas Turbine Disks,” Comp. & Struct., 34, pp. 1–4.
Lee,  B.Y., 1996, “Consideration of Body Forces in Axisymmetric Design Sensitivity Analysis Using the BEM,” Comp. & Struct., 61, pp. 587–596.
Xie,  Y.M., and Steven,  G.P., 1993, “A Simple Evolutionary Procedure for Structural Optimization,” Comp. Struct., 49, pp. 885–896.
Xie, Y.M., and Steven, G.P., 1997, Evolutionary Structural Optimization, Springer-Verlag, Berlin.
Hinton,  E., and Sienz,  J., 1995, “Fully Stressed Topological Design of Structures Using an Evolutionary Procedure,” Eng. Comput., 12, pp. 229–244.
Rosko,  P., 1995, “Three-dimensional Topology Design of Structures Using Crystal Models,” Comp. & Struct., 55, pp. 1077–1083.
Papadrakakis,  M., Tsompanakis,  Y., Hinton,  E., and Sienz,  J., 1996, “Advanced Solution Methods in Topology Optimization and Shape Sensitivity Analysis,” Eng. Comput., 13, pp. 57–90.
Van Keulen, F., and Hinton, E., 1996, “Topology Design of Plate and Shell Structures Using the Hard Kill Method,” Advances in Structural Engineering Optimization. Edinburgh: Civil-Comp Press, pp. 167–176.
Reynolds,  D., McConnachie,  J., Bettess,  P., Christie,  W.C., and Bull,  J.W., 1999, “Reverse Adaptivity—A New Evolutionary Tool for Structural Optimization,” Int. J. Numer. Methods Eng., 45, pp. 529–552.
Mattheck,  C., and Burkhardt,  S., 1990, “A New Method of Structural Shape Optimization Based on Biological Growth,” Int. J. Fatigue, 12, pp. 185–190.
Tanaka, M., Adachi, T., and Tomita, Y., 1995, “Optimum Design of Lattice Continuum Material Suggested by Mechanical Adaptation Model of Cancellous Bone,” Proc. 1st World Congress of Structural & Multidisciplinary Optimization (held in Goslar, Germany), pp. 185–192.
Querin,  O.M., Steven,  G.P., and Xie,  Y.M., 1998, “Evolutionary Structural Optimization Using a Bidirectional Algorithm,” Eng. Comput., 15, pp. 1031–1048.
Liu, J.-S., Parks, G.T., and Clarkson, P.J., 1999, “Can a Structure Grow Towards an Optimum Topology Layout?—Metamorphic Development: A New Topology Optimization Method,” Proceedings of the 3rd World Congress of Structural and Multidisciplinary Optimization (WCSMO-3) (held in Buffalo, USA), on CD-ROM.
Liu,  J.-S., Parks,  G.T., and Clarkson,  P.J., 2000, “Metamorphic Development: A New Topology Optimization Method for Continuum Structures.” Struct. Multidisc. Optim., 20, pp. 288–300.
Hibbitt, Karlsson & Sorenson, Inc., 1998, ABAQUS Manual, Version 5.7-5. Pawtucket RI: Hibbitt, Karlsson & Sorenson, Inc.


Grahic Jump Location
Schematic diagrams of the turbine disk geometries and loadings, boundary conditions and geometric restrictions: (a) disk geometry, mechanical loading, and displacement boundary conditions; (b) thermal boundary conditions and geometric restriction for optimization
Grahic Jump Location
Structural dynamic growth factor versus hybrid constraint function
Grahic Jump Location
Flow chart of the MD method
Grahic Jump Location
The metamorphic development convergence history for the turbine disk design: (a) iteration 0 (initial); (b) iteration 5; (c) iteration 10; (d) iteration 15; (e) iteration 20; (f) iteration 25 (optimized)
Grahic Jump Location
Contours of various stresses, temperature and heat flux distributions in the optimized turbine disk; (a) Mises stress; (b) radial stress; (c) axial stress; (d) hoop stress; (e) temperature; (f) heat flux
Grahic Jump Location
Stress distributions on the non-design surface of the optimized disk structure
Grahic Jump Location
Stress distributions on the design surface of the optimized disk structure
Grahic Jump Location
Optimal shapes for different loading cases: (a) blades+centrifugal(20000 rpm)+thermal loading; (b) blades+centrifugal (20000 rpm) loading; (c) blades loading only; (d) blades+centrifugal(18000 rpm)+thermal loading; (e) blades+centrifugal(16000 rpm)+thermal loading; (f) blades+centrifugal(18000 rpm)+thermal+fit pressure loading
Grahic Jump Location
Comparisons of the optimal shapes for different loading cases: (a) comparison of optimal shapes for different loadings; (b) comparison of optimal shapes for different rotational speeds; (c) comparison of optimal shapes with and without a fit pressure



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In