Implicit Subspace Iteration to Improve the Stability Analysis in Grinding Processes
An alternative method is devised for calculating dynamic stability maps in cylindrical and centerless infeed grinding processes. The method is based on the application of the Floquet theorem by repeated time integrations. Without the need of building the transition matrix, this is the most efficient...
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MDPI AG
2020-11-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/22/8203 |
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| author | Jorge Alvarez Mikel Zatarain David Barrenetxea Jose Ignacio Marquinez Borja Izquierdo |
| author_facet | Jorge Alvarez Mikel Zatarain David Barrenetxea Jose Ignacio Marquinez Borja Izquierdo |
| author_sort | Jorge Alvarez |
| collection | DOAJ |
| description | An alternative method is devised for calculating dynamic stability maps in cylindrical and centerless infeed grinding processes. The method is based on the application of the Floquet theorem by repeated time integrations. Without the need of building the transition matrix, this is the most efficient calculation in terms of computation effort compared to previously presented time-domain stability analysis methods (semi-discretization or time-domain simulations). In the analyzed cases, subspace iteration has been up to 130 times faster. One of the advantages of these time-domain methods to the detriment of frequency domain ones is that they can analyze the stability of regenerative chatter with the application of variable workpiece speed, a well-known technique to avoid chatter vibrations in grinding processes so the optimal combination of amplitude and frequency can be selected. Subspace iteration methods also deal with this analysis, providing an efficient solution between 27 and 47 times faster than the abovementioned methods. Validation of this method has been carried out by comparing its accuracy with previous published methods such as semi-discretization, frequency and time-domain simulations, obtaining good correlation in the results of the dynamic stability maps and the instability reduction ratio maps due to the application of variable speed. |
| first_indexed | 2024-03-10T14:43:42Z |
| format | Article |
| id | doaj.art-453ebec4dd9c42e6858bfc97caa14678 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T14:43:42Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-453ebec4dd9c42e6858bfc97caa146782023-11-20T21:33:11ZengMDPI AGApplied Sciences2076-34172020-11-011022820310.3390/app10228203Implicit Subspace Iteration to Improve the Stability Analysis in Grinding ProcessesJorge Alvarez0Mikel Zatarain1David Barrenetxea2Jose Ignacio Marquinez3Borja Izquierdo4IDEKO, Basque Research and Technology Alliance, Pol. Industrial Arriaga 2, 20870 Elgoibar, SpainIDEKO, Basque Research and Technology Alliance, Pol. Industrial Arriaga 2, 20870 Elgoibar, SpainIDEKO, Basque Research and Technology Alliance, Pol. Industrial Arriaga 2, 20870 Elgoibar, SpainIDEKO, Basque Research and Technology Alliance, Pol. Industrial Arriaga 2, 20870 Elgoibar, SpainDepartment of Mechanical Engineering, University of the Basque Country UPV/EHU, Plaza Torres Quevedo 1, 48013 Bilbao, SpainAn alternative method is devised for calculating dynamic stability maps in cylindrical and centerless infeed grinding processes. The method is based on the application of the Floquet theorem by repeated time integrations. Without the need of building the transition matrix, this is the most efficient calculation in terms of computation effort compared to previously presented time-domain stability analysis methods (semi-discretization or time-domain simulations). In the analyzed cases, subspace iteration has been up to 130 times faster. One of the advantages of these time-domain methods to the detriment of frequency domain ones is that they can analyze the stability of regenerative chatter with the application of variable workpiece speed, a well-known technique to avoid chatter vibrations in grinding processes so the optimal combination of amplitude and frequency can be selected. Subspace iteration methods also deal with this analysis, providing an efficient solution between 27 and 47 times faster than the abovementioned methods. Validation of this method has been carried out by comparing its accuracy with previous published methods such as semi-discretization, frequency and time-domain simulations, obtaining good correlation in the results of the dynamic stability maps and the instability reduction ratio maps due to the application of variable speed.https://www.mdpi.com/2076-3417/10/22/8203stabilitymachiningchattergrinding |
| spellingShingle | Jorge Alvarez Mikel Zatarain David Barrenetxea Jose Ignacio Marquinez Borja Izquierdo Implicit Subspace Iteration to Improve the Stability Analysis in Grinding Processes Applied Sciences stability machining chatter grinding |
| title | Implicit Subspace Iteration to Improve the Stability Analysis in Grinding Processes |
| title_full | Implicit Subspace Iteration to Improve the Stability Analysis in Grinding Processes |
| title_fullStr | Implicit Subspace Iteration to Improve the Stability Analysis in Grinding Processes |
| title_full_unstemmed | Implicit Subspace Iteration to Improve the Stability Analysis in Grinding Processes |
| title_short | Implicit Subspace Iteration to Improve the Stability Analysis in Grinding Processes |
| title_sort | implicit subspace iteration to improve the stability analysis in grinding processes |
| topic | stability machining chatter grinding |
| url | https://www.mdpi.com/2076-3417/10/22/8203 |
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