The PolyMAX Frequency-Domain Method: A New Standard for Modal Parameter Estimation?

Recently, a new non-iterative frequency-domain parameter estimation method was proposed. It is based on a (weighted) least-squares approach and uses multiple-input-multiple-output frequency response functions as primary data. This so-called “PolyMAX” or polyreference least-squares complex frequency-...

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Main Authors: Bart Peeters, Herman Van der Auweraer, Patrick Guillaume, Jan Leuridan
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2004/523692
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author Bart Peeters
Herman Van der Auweraer
Patrick Guillaume
Jan Leuridan
author_facet Bart Peeters
Herman Van der Auweraer
Patrick Guillaume
Jan Leuridan
author_sort Bart Peeters
collection DOAJ
description Recently, a new non-iterative frequency-domain parameter estimation method was proposed. It is based on a (weighted) least-squares approach and uses multiple-input-multiple-output frequency response functions as primary data. This so-called “PolyMAX” or polyreference least-squares complex frequency-domain method can be implemented in a very similar way as the industry standard polyreference (time-domain) least-squares complex exponential method: in a first step a stabilisation diagram is constructed containing frequency, damping and participation information. Next, the mode shapes are found in a second least-squares step, based on the user selection of stable poles. One of the specific advantages of the technique lies in the very stable identification of the system poles and participation factors as a function of the specified system order, leading to easy-to-interpret stabilisation diagrams. This implies a potential for automating the method and to apply it to “difficult” estimation cases such as high-order and/or highly damped systems with large modal overlap. Some real-life automotive and aerospace case studies are discussed. PolyMAX is compared with classical methods concerning stability, accuracy of the estimated modal parameters and quality of the frequency response function synthesis.
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spelling doaj-art-00d812c08f0042a2a3605a58b15d739d2025-02-03T05:58:44ZengWileyShock and Vibration1070-96221875-92032004-01-01113-439540910.1155/2004/523692The PolyMAX Frequency-Domain Method: A New Standard for Modal Parameter Estimation?Bart Peeters0Herman Van der Auweraer1Patrick Guillaume2Jan Leuridan3LMS International, Interleuvenlaan 68, B-3001 Leuven, BelgiumLMS International, Interleuvenlaan 68, B-3001 Leuven, BelgiumDepartment of Mechanical Engineering, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussel, BelgiumLMS International, Interleuvenlaan 68, B-3001 Leuven, BelgiumRecently, a new non-iterative frequency-domain parameter estimation method was proposed. It is based on a (weighted) least-squares approach and uses multiple-input-multiple-output frequency response functions as primary data. This so-called “PolyMAX” or polyreference least-squares complex frequency-domain method can be implemented in a very similar way as the industry standard polyreference (time-domain) least-squares complex exponential method: in a first step a stabilisation diagram is constructed containing frequency, damping and participation information. Next, the mode shapes are found in a second least-squares step, based on the user selection of stable poles. One of the specific advantages of the technique lies in the very stable identification of the system poles and participation factors as a function of the specified system order, leading to easy-to-interpret stabilisation diagrams. This implies a potential for automating the method and to apply it to “difficult” estimation cases such as high-order and/or highly damped systems with large modal overlap. Some real-life automotive and aerospace case studies are discussed. PolyMAX is compared with classical methods concerning stability, accuracy of the estimated modal parameters and quality of the frequency response function synthesis.http://dx.doi.org/10.1155/2004/523692
spellingShingle Bart Peeters
Herman Van der Auweraer
Patrick Guillaume
Jan Leuridan
The PolyMAX Frequency-Domain Method: A New Standard for Modal Parameter Estimation?
Shock and Vibration
title The PolyMAX Frequency-Domain Method: A New Standard for Modal Parameter Estimation?
title_full The PolyMAX Frequency-Domain Method: A New Standard for Modal Parameter Estimation?
title_fullStr The PolyMAX Frequency-Domain Method: A New Standard for Modal Parameter Estimation?
title_full_unstemmed The PolyMAX Frequency-Domain Method: A New Standard for Modal Parameter Estimation?
title_short The PolyMAX Frequency-Domain Method: A New Standard for Modal Parameter Estimation?
title_sort polymax frequency domain method a new standard for modal parameter estimation
url http://dx.doi.org/10.1155/2004/523692
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