Probabilistic design for rotordynamic simulations using receptance based reanalysis /

This research presents a new design methodology for rotordynamic simulations by accounting for the uncertainty of model parameters. Eigenvalue reanalysis is coupled with monte Carlo simulation, and is used to predict probabilities of critical speed occurrence in a specific speed range with the beari...

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Bibliographic Details
Main Author: Barrett, Timothy Stuart, 1965-
Format: Thesis Book
Language:English
Published: [Place of publication not identified] : [publisher not identified] ; 1996.
Subjects:
Online Access:http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=739363261&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD
Description
Summary:This research presents a new design methodology for rotordynamic simulations by accounting for the uncertainty of model parameters. Eigenvalue reanalysis is coupled with monte Carlo simulation, and is used to predict probabilities of critical speed occurrence in a specific speed range with the bearing support stiffnesses and rotor geometry, treated as random variables. Typically bearing stiffnesses are known to vary enough to create the possiblity of a stiffness being substantially away from it's design stiffness so as to cause a critical speed to occur in the rotor system operating range. This research introduces an efficient method to predict the probability that a critical speed will occur in the operating range of the rotor. Speed dependent as well as constant stiffness bearings are used in these simulations. Any speed dependent system property may also be accomodated to the new procedure. A new receptance based reanalysis procedure is shown to be more efficient than the conventional Myklestad type transfer matrix (TMM) based probabilistic approach when applied to analysis of line type structures. Results from this new approach far outperform a QR method of eigenvalue extraction applied to the same line type structure, showing that the reanalysis approach yields greatest advantage for non-line type structure problems which are solved by QR-Jacobi methods and are unsolvable with transfer matrices. An example of this methodology is also applied to a rotor with magnetic bearings, assuming the system uncertainties can be expressed by the proportional and derivative gains of the electromechanical model.
Item Description:Vita.
"Major Subject: Interdisciplinary Engineering".
Physical Description:xiv, 136 leaves : illustrations ; 28 cm.
Issued also on microfiche from University Microfilms Inc.
Bibliography:Includes bibliographical references: pages 119-120.