Investigation of the Processing Parameters Impact on the Flexural Tool Vibrations While Drilling
<p>The paper considers an approach to analyze a dynamic stability of the drilling process in terms of tool flexibility. The proposed technique takes into consideration a regenerative effect leading to time delay in the dynamic system. This regenerative delay is the main source of arising dynam...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Russian |
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MGTU im. N.È. Baumana
2015-01-01
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| Series: | Nauka i Obrazovanie |
| Subjects: | |
| Online Access: | http://technomag.edu.ru/jour/article/view/137 |
| _version_ | 1811284601673351168 |
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| author | I. I. Ivanov I. A. Kiselev A. V. Koloskova |
| author_facet | I. I. Ivanov I. A. Kiselev A. V. Koloskova |
| author_sort | I. I. Ivanov |
| collection | DOAJ |
| description | <p>The paper considers an approach to analyze a dynamic stability of the drilling process in terms of tool flexibility. The proposed technique takes into consideration a regenerative effect leading to time delay in the dynamic system. This regenerative delay is the main source of arising dynamically unstable machining conditions. The paper describes a principle of emerging self-vibrations while cutting. It mentions the undesirable nature of transverse bending selfvibrations of tool, which cause a decreasing quality of the processed hole surface.</p><p>The suggested approach consists in building a diagram of the drilling process stability for a tool model allowing only its flexural vibrations. The feature of the study is to describe tool dynamics using a finite element model based on the quadratic approximation of displacements for tool dynamics modeling. The assumption of an axial symmetry of drill geometry was discarded. The reduced model of tool was built taking into account two eigenvectors corresponding to tool bending. This model contains 2 degrees of freedom (DOF), which are, essentially, rotations of a drill tip. The technology of rigid multi-point constraints was used to connect those DOFs with solid finite element nodes. The system of delayed differential equations describing the reduced tool model dynamics was derived to estimate a dynamic stability of the drilling process. The Floquet theory is applied to build a stability diagram as a maximum multiplicator value versus a drill rotation rate. The presented diagram allows us to draw a conclusion that in the wide range of rotation frequencies transverse bending self- vibrations can be excited. The results obtained and the calculation technique may be used to choose the operation modes free from undesirable flexural self-vibrations of tool.</p><p>The reported study was supported by RFBR within the framework of the research project ” mol_a”№ 14-08-31603 “Development of methods and algorithms for modeling a dynamics of the cutting complex parts”.</p> |
| first_indexed | 2024-04-13T02:31:13Z |
| format | Article |
| id | doaj.art-696098fedc004bf3ba1efdc5adcc0efd |
| institution | Directory Open Access Journal |
| issn | 1994-0408 |
| language | Russian |
| last_indexed | 2024-04-13T02:31:13Z |
| publishDate | 2015-01-01 |
| publisher | MGTU im. N.È. Baumana |
| record_format | Article |
| series | Nauka i Obrazovanie |
| spelling | doaj.art-696098fedc004bf3ba1efdc5adcc0efd2022-12-22T03:06:33ZrusMGTU im. N.È. BaumanaNauka i Obrazovanie1994-04082015-01-0101157959110.7463/1115.0827164137Investigation of the Processing Parameters Impact on the Flexural Tool Vibrations While DrillingI. I. Ivanov0I. A. Kiselev1A. V. Koloskova2Bauman Moscow State Technical UniversityBauman Moscow State Technical UniversityBauman Moscow State Technical University<p>The paper considers an approach to analyze a dynamic stability of the drilling process in terms of tool flexibility. The proposed technique takes into consideration a regenerative effect leading to time delay in the dynamic system. This regenerative delay is the main source of arising dynamically unstable machining conditions. The paper describes a principle of emerging self-vibrations while cutting. It mentions the undesirable nature of transverse bending selfvibrations of tool, which cause a decreasing quality of the processed hole surface.</p><p>The suggested approach consists in building a diagram of the drilling process stability for a tool model allowing only its flexural vibrations. The feature of the study is to describe tool dynamics using a finite element model based on the quadratic approximation of displacements for tool dynamics modeling. The assumption of an axial symmetry of drill geometry was discarded. The reduced model of tool was built taking into account two eigenvectors corresponding to tool bending. This model contains 2 degrees of freedom (DOF), which are, essentially, rotations of a drill tip. The technology of rigid multi-point constraints was used to connect those DOFs with solid finite element nodes. The system of delayed differential equations describing the reduced tool model dynamics was derived to estimate a dynamic stability of the drilling process. The Floquet theory is applied to build a stability diagram as a maximum multiplicator value versus a drill rotation rate. The presented diagram allows us to draw a conclusion that in the wide range of rotation frequencies transverse bending self- vibrations can be excited. The results obtained and the calculation technique may be used to choose the operation modes free from undesirable flexural self-vibrations of tool.</p><p>The reported study was supported by RFBR within the framework of the research project ” mol_a”№ 14-08-31603 “Development of methods and algorithms for modeling a dynamics of the cutting complex parts”.</p>http://technomag.edu.ru/jour/article/view/137drillingvibrationsdynamic stability |
| spellingShingle | I. I. Ivanov I. A. Kiselev A. V. Koloskova Investigation of the Processing Parameters Impact on the Flexural Tool Vibrations While Drilling Nauka i Obrazovanie drilling vibrations dynamic stability |
| title | Investigation of the Processing Parameters Impact on the Flexural Tool Vibrations While Drilling |
| title_full | Investigation of the Processing Parameters Impact on the Flexural Tool Vibrations While Drilling |
| title_fullStr | Investigation of the Processing Parameters Impact on the Flexural Tool Vibrations While Drilling |
| title_full_unstemmed | Investigation of the Processing Parameters Impact on the Flexural Tool Vibrations While Drilling |
| title_short | Investigation of the Processing Parameters Impact on the Flexural Tool Vibrations While Drilling |
| title_sort | investigation of the processing parameters impact on the flexural tool vibrations while drilling |
| topic | drilling vibrations dynamic stability |
| url | http://technomag.edu.ru/jour/article/view/137 |
| work_keys_str_mv | AT iiivanov investigationoftheprocessingparametersimpactontheflexuraltoolvibrationswhiledrilling AT iakiselev investigationoftheprocessingparametersimpactontheflexuraltoolvibrationswhiledrilling AT avkoloskova investigationoftheprocessingparametersimpactontheflexuraltoolvibrationswhiledrilling |