Implicit Subspace Iteration to Improve the Stability Analysis in Grinding Processes
| Autor: | Mikel Zatarain, B. Izquierdo, J. I. Marquínez, J. Alvarez, D. Barrenetxea |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Floquet theory
chatter 0209 industrial biotechnology Computer science Computation 02 engineering and technology 01 natural sciences Stability (probability) lcsh:Technology lcsh:Chemistry 020901 industrial engineering & automation 0103 physical sciences General Materials Science 010301 acoustics Instrumentation lcsh:QH301-705.5 Fluid Flow and Transfer Processes lcsh:T Process Chemistry and Technology General Engineering Stochastic matrix stability grinding lcsh:QC1-999 Computer Science Applications Grinding Vibration lcsh:Biology (General) lcsh:QD1-999 lcsh:TA1-2040 Frequency domain lcsh:Engineering (General). Civil engineering (General) Algorithm Subspace topology lcsh:Physics machining |
| Zdroj: | Addi. Archivo Digital para la Docencia y la Investigación instname Applied Sciences Volume 10 Issue 22 Applied Sciences, Vol 10, Iss 8203, p 8203 (2020) Universidad de Cantabria (UC) Addi: Archivo Digital para la Docencia y la Investigación Universidad del País Vasco |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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