Parametric Identification of a Dynamic Foundation Model of a Rotary Machine Using Response Data Due to Unknown Unbalances

The estimation of a model of the foundation of a rotary machine has been recently attempted by using the difference between two sets of response data at some of the bearing locations from two consecutive rundowns of the machine, with and without known unbalance weights at certain positions on the tw...

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Main Authors: Uwe Prells, Arthur W. Lees
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Rotating Machinery
Subjects:
Online Access:http://dx.doi.org/10.1155/S1023621X00000415
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author Uwe Prells
Arthur W. Lees
author_facet Uwe Prells
Arthur W. Lees
author_sort Uwe Prells
collection DOAJ
description The estimation of a model of the foundation of a rotary machine has been recently attempted by using the difference between two sets of response data at some of the bearing locations from two consecutive rundowns of the machine, with and without known unbalance weights at certain positions on the two balance discs of each rotor respectively. However, it would be a great advantage to be able to perform the estimation with a single rundown. Due to practical restrictions in performing such tests (accessibility, costs etc.), there are cases in which data for only one rundown are available. In this case, the unbalance configuration is unknown and has, therefore, to be estimated, in addition to the unknown foundation model. Due to the special form of the unbalance force, this overall inverse problem can be solved by eliminating the unbalance configuration from the model estimation process. The remaining equation to estimate the foundation model consists of the projection of the response data, where the associated projector depends on the foundation model parameter. First results using the method, applied to a laboratory test rig and to a commercial turbo-generator, are presented.
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spelling doaj-art-357632092c914eacaf28cc956623e7fc2025-02-03T05:58:13ZengWileyInternational Journal of Rotating Machinery1023-621X2000-01-016645346610.1155/S1023621X00000415Parametric Identification of a Dynamic Foundation Model of a Rotary Machine Using Response Data Due to Unknown UnbalancesUwe Prells0Arthur W. Lees1Department of Mechanical Engineering, The University of Wales Swansea, Singleton Park, Swansea, Wales SA2 8PP, UKDepartment of Mechanical Engineering, The University of Wales Swansea, Singleton Park, Swansea, Wales SA2 8PP, UKThe estimation of a model of the foundation of a rotary machine has been recently attempted by using the difference between two sets of response data at some of the bearing locations from two consecutive rundowns of the machine, with and without known unbalance weights at certain positions on the two balance discs of each rotor respectively. However, it would be a great advantage to be able to perform the estimation with a single rundown. Due to practical restrictions in performing such tests (accessibility, costs etc.), there are cases in which data for only one rundown are available. In this case, the unbalance configuration is unknown and has, therefore, to be estimated, in addition to the unknown foundation model. Due to the special form of the unbalance force, this overall inverse problem can be solved by eliminating the unbalance configuration from the model estimation process. The remaining equation to estimate the foundation model consists of the projection of the response data, where the associated projector depends on the foundation model parameter. First results using the method, applied to a laboratory test rig and to a commercial turbo-generator, are presented.http://dx.doi.org/10.1155/S1023621X00000415Rotary machine model updatingUnbalance estimationModel estimationVariable projection methodInverse problems.
spellingShingle Uwe Prells
Arthur W. Lees
Parametric Identification of a Dynamic Foundation Model of a Rotary Machine Using Response Data Due to Unknown Unbalances
International Journal of Rotating Machinery
Rotary machine model updating
Unbalance estimation
Model estimation
Variable projection method
Inverse problems.
title Parametric Identification of a Dynamic Foundation Model of a Rotary Machine Using Response Data Due to Unknown Unbalances
title_full Parametric Identification of a Dynamic Foundation Model of a Rotary Machine Using Response Data Due to Unknown Unbalances
title_fullStr Parametric Identification of a Dynamic Foundation Model of a Rotary Machine Using Response Data Due to Unknown Unbalances
title_full_unstemmed Parametric Identification of a Dynamic Foundation Model of a Rotary Machine Using Response Data Due to Unknown Unbalances
title_short Parametric Identification of a Dynamic Foundation Model of a Rotary Machine Using Response Data Due to Unknown Unbalances
title_sort parametric identification of a dynamic foundation model of a rotary machine using response data due to unknown unbalances
topic Rotary machine model updating
Unbalance estimation
Model estimation
Variable projection method
Inverse problems.
url http://dx.doi.org/10.1155/S1023621X00000415
work_keys_str_mv AT uweprells parametricidentificationofadynamicfoundationmodelofarotarymachineusingresponsedataduetounknownunbalances
AT arthurwlees parametricidentificationofadynamicfoundationmodelofarotarymachineusingresponsedataduetounknownunbalances