The Basics of Time-Domain-Based Milling Stability Prediction Using Frequency Response Function
This study presents the fundamentals of the usage of frequency response functions (FRF) directly in time-domain-based methods. The methodology intends to combine the advantages of frequency- and time-domain-based techniques to determine the stability of stationary solutions of a given milling proces...
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Format: | Article |
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MDPI AG
2020-07-01
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Series: | Journal of Manufacturing and Materials Processing |
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Online Access: | https://www.mdpi.com/2504-4494/4/3/72 |
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author | Zoltan Dombovari Markel Sanz-Calle Mikel Zatarain |
author_facet | Zoltan Dombovari Markel Sanz-Calle Mikel Zatarain |
author_sort | Zoltan Dombovari |
collection | DOAJ |
description | This study presents the fundamentals of the usage of frequency response functions (FRF) directly in time-domain-based methods. The methodology intends to combine the advantages of frequency- and time-domain-based techniques to determine the stability of stationary solutions of a given milling process. This is achieved by applying the so-called impulse dynamic subspace (IDS) method, with which the impulse response function (IRF) can be disassembled to separated singular IRFs that form the basis of the used transformation. Knowing the IDS state, the linear stability boundaries can be constructed and a measure of stability can be determined using the Floquet multipliers via the semidiscretization method (SDM). This step has a huge importance in parameter optimization where the multipliers can be used as objective functions, which is hardly achievable using frequency-domain-based methods. Here we present the basic idea of utilizing the IDS method and analyze its convergence properties. |
first_indexed | 2024-03-10T18:25:45Z |
format | Article |
id | doaj.art-62e0d35249374a9ba8271050fe6d010e |
institution | Directory Open Access Journal |
issn | 2504-4494 |
language | English |
last_indexed | 2024-03-10T18:25:45Z |
publishDate | 2020-07-01 |
publisher | MDPI AG |
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series | Journal of Manufacturing and Materials Processing |
spelling | doaj.art-62e0d35249374a9ba8271050fe6d010e2023-11-20T07:00:07ZengMDPI AGJournal of Manufacturing and Materials Processing2504-44942020-07-01437210.3390/jmmp4030072The Basics of Time-Domain-Based Milling Stability Prediction Using Frequency Response FunctionZoltan Dombovari0Markel Sanz-Calle1Mikel Zatarain2MTA-BME Lendület Machine Tool Vibration Research Group, Department of Applied Mechanics, Budapest University of Technology and Economics, Muegyetem rkp. 3, H1111 Budapest, HungaryDynamics & Control, Ideko, Elgoibar, E20870 Basque Country, SpainDynamics & Control, Ideko, Elgoibar, E20870 Basque Country, SpainThis study presents the fundamentals of the usage of frequency response functions (FRF) directly in time-domain-based methods. The methodology intends to combine the advantages of frequency- and time-domain-based techniques to determine the stability of stationary solutions of a given milling process. This is achieved by applying the so-called impulse dynamic subspace (IDS) method, with which the impulse response function (IRF) can be disassembled to separated singular IRFs that form the basis of the used transformation. Knowing the IDS state, the linear stability boundaries can be constructed and a measure of stability can be determined using the Floquet multipliers via the semidiscretization method (SDM). This step has a huge importance in parameter optimization where the multipliers can be used as objective functions, which is hardly achievable using frequency-domain-based methods. Here we present the basic idea of utilizing the IDS method and analyze its convergence properties.https://www.mdpi.com/2504-4494/4/3/72millingstabilitychatterregenerationsingular value decomposition |
spellingShingle | Zoltan Dombovari Markel Sanz-Calle Mikel Zatarain The Basics of Time-Domain-Based Milling Stability Prediction Using Frequency Response Function Journal of Manufacturing and Materials Processing milling stability chatter regeneration singular value decomposition |
title | The Basics of Time-Domain-Based Milling Stability Prediction Using Frequency Response Function |
title_full | The Basics of Time-Domain-Based Milling Stability Prediction Using Frequency Response Function |
title_fullStr | The Basics of Time-Domain-Based Milling Stability Prediction Using Frequency Response Function |
title_full_unstemmed | The Basics of Time-Domain-Based Milling Stability Prediction Using Frequency Response Function |
title_short | The Basics of Time-Domain-Based Milling Stability Prediction Using Frequency Response Function |
title_sort | basics of time domain based milling stability prediction using frequency response function |
topic | milling stability chatter regeneration singular value decomposition |
url | https://www.mdpi.com/2504-4494/4/3/72 |
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