Investigation of Gyroscopic Effect on the Stability of High Speed Micromilling via Bifurcation Analysis
Catastrophic tool failure due to the low flexural stiffness of the micro-tool is a major concern for micromanufacturing industries. This issue can be addressed using high rotational speed, but the gyroscopic couple becomes prominent at high rotational speeds for micro-tools affecting the dynamic sta...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-12-01
|
| Series: | Journal of Manufacturing and Materials Processing |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-4494/5/4/130 |
| _version_ | 1797503339775131648 |
|---|---|
| author | Rinku K. Mittal Ramesh K. Singh |
| author_facet | Rinku K. Mittal Ramesh K. Singh |
| author_sort | Rinku K. Mittal |
| collection | DOAJ |
| description | Catastrophic tool failure due to the low flexural stiffness of the micro-tool is a major concern for micromanufacturing industries. This issue can be addressed using high rotational speed, but the gyroscopic couple becomes prominent at high rotational speeds for micro-tools affecting the dynamic stability of the process. This study uses the multiple degrees of freedom (MDOF) model of the cutting tool to investigate the gyroscopic effect in machining. Hopf bifurcation theory is used to understand the long-term dynamic behavior of the system. A numerical scheme based on the linear multistep method is used to solve the time-periodic delay differential equations. The stability limits have been predicted as a function of the spindle speed. Higher tool deflections occur at higher spindle speeds. Stability lobe diagram shows the conservative limits at high rotational speeds for the MDOF model. The predicted stability limits show good agreement with the experimental limits, especially at high rotational speeds. |
| first_indexed | 2024-03-10T03:49:12Z |
| format | Article |
| id | doaj.art-db1f954a55454c0d8a77296e9b4329aa |
| institution | Directory Open Access Journal |
| issn | 2504-4494 |
| language | English |
| last_indexed | 2024-03-10T03:49:12Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Manufacturing and Materials Processing |
| spelling | doaj.art-db1f954a55454c0d8a77296e9b4329aa2023-11-23T09:01:43ZengMDPI AGJournal of Manufacturing and Materials Processing2504-44942021-12-015413010.3390/jmmp5040130Investigation of Gyroscopic Effect on the Stability of High Speed Micromilling via Bifurcation AnalysisRinku K. Mittal0Ramesh K. Singh1Department of Mechanical Engineering, Indian Institute of Science, Bengaluru 560012, IndiaDepartment of Mechanical Engineering, Indian Institute of Technology Bombay, Mumbai 400076, IndiaCatastrophic tool failure due to the low flexural stiffness of the micro-tool is a major concern for micromanufacturing industries. This issue can be addressed using high rotational speed, but the gyroscopic couple becomes prominent at high rotational speeds for micro-tools affecting the dynamic stability of the process. This study uses the multiple degrees of freedom (MDOF) model of the cutting tool to investigate the gyroscopic effect in machining. Hopf bifurcation theory is used to understand the long-term dynamic behavior of the system. A numerical scheme based on the linear multistep method is used to solve the time-periodic delay differential equations. The stability limits have been predicted as a function of the spindle speed. Higher tool deflections occur at higher spindle speeds. Stability lobe diagram shows the conservative limits at high rotational speeds for the MDOF model. The predicted stability limits show good agreement with the experimental limits, especially at high rotational speeds.https://www.mdpi.com/2504-4494/5/4/130micromillingchattergyroscopic effectstability analysis |
| spellingShingle | Rinku K. Mittal Ramesh K. Singh Investigation of Gyroscopic Effect on the Stability of High Speed Micromilling via Bifurcation Analysis Journal of Manufacturing and Materials Processing micromilling chatter gyroscopic effect stability analysis |
| title | Investigation of Gyroscopic Effect on the Stability of High Speed Micromilling via Bifurcation Analysis |
| title_full | Investigation of Gyroscopic Effect on the Stability of High Speed Micromilling via Bifurcation Analysis |
| title_fullStr | Investigation of Gyroscopic Effect on the Stability of High Speed Micromilling via Bifurcation Analysis |
| title_full_unstemmed | Investigation of Gyroscopic Effect on the Stability of High Speed Micromilling via Bifurcation Analysis |
| title_short | Investigation of Gyroscopic Effect on the Stability of High Speed Micromilling via Bifurcation Analysis |
| title_sort | investigation of gyroscopic effect on the stability of high speed micromilling via bifurcation analysis |
| topic | micromilling chatter gyroscopic effect stability analysis |
| url | https://www.mdpi.com/2504-4494/5/4/130 |
| work_keys_str_mv | AT rinkukmittal investigationofgyroscopiceffectonthestabilityofhighspeedmicromillingviabifurcationanalysis AT rameshksingh investigationofgyroscopiceffectonthestabilityofhighspeedmicromillingviabifurcationanalysis |