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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Main Authors: Zoltan Dombovari, Markel Sanz-Calle, Mikel Zatarain
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Journal of Manufacturing and Materials Processing
Subjects:
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.
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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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