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Application of a Transfer Function, Obtained by Variation Principles for a Steam Turbine Journal Failure Analysis Based on “DOE” and Optimization Techniques

[+] Author Affiliations
Gabriel Ventura, Hugo Morales

CIATEQ, A.C., Queretaro, Mexico

Carlos Díaz

CIATEQ, A. C., Queretaro, Mexico

Paper No. DETC2005-85044, pp. 681-686; 6 pages
doi:10.1115/DETC2005-85044
From:
  • ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 4c: 18th Reliability, Stress Analysis, and Failure Prevention Conference
  • Long Beach, California, USA, September 24–28, 2005
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4741-1 | eISBN: 0-7918-3766-1
  • Copyright © 2005 by ASME

abstract

There are many engineering situations where is not necessary to analyze whole domain of a physical model. According with these situations we demonstrate that is possible, with a transfer matrix and variation principles, to obtain an equivalent bilinear form using Lax-Milgram theorem with an orthogonal form applied to turbomachinery. This transfer matrix solves a problem in shorter time than the Traditional DOE-FEA (design of Experiments) (Finite Element Analysis) Method. In this method we consider a solution sub-space that contents generalized forces in a given location and maximum displacements in other location of the same domain, which may cause a failure, Kij = a(vhj* ,uhi ) is the transfer matrix, with a small range. The coefficients in matrix are obtained by n runs, (where n is the number of variables to be consider), with FEA, applying unitary forces in n directions. With the Traditional DOE-FEA method, FEA runs require great computational efforts because this method shall need 2n runs, on the basis of this fact, this proposal can be 75 and up to 99% (n/2n ) shorter in time to obtain the transfer function and apply it into the FEA than the Traditional DOE-FEA method. Analysis in short time helps to confront many fields’ problems. In this paper we will analyze the case of a steam turbine journal, where was possible to find the amount of the limit loads that cause its failure, under prescribed displacements.

Copyright © 2005 by ASME

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