Nonlinear Dynamic Analysis of the Cutting Process of a Nonextensible Composite Boring Bar
A nonlinear dynamic analysis of the cutting process of a nonextensible composite cutting bar is presented. The cutting bar is simplified as a cantilever with plane bending. The nonlinearity is mainly originated from the nonextensible assumption, and the material of cutting bar is assumed to be visco...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/5971540 |
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| _version_ | 1832554540430262272 |
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| author | Bole Ma Yongsheng Ren |
| author_facet | Bole Ma Yongsheng Ren |
| author_sort | Bole Ma |
| collection | DOAJ |
| description | A nonlinear dynamic analysis of the cutting process of a nonextensible composite cutting bar is presented. The cutting bar is simplified as a cantilever with plane bending. The nonlinearity is mainly originated from the nonextensible assumption, and the material of cutting bar is assumed to be viscoelastic composite, which is described by the Kelvin–Voigt equation. The motion equation of nonlinear chatter of the cutting system is derived based on the Hamilton principle. The partial differential equation of motion is discretized using the Galerkin method to obtain a 1-dof nonlinear ordinary differential equation in a generalized coordinate system. The steady forced response of the cutting system under periodically varying cutting force is approximately solved by the multiscale method. Meanwhile, the effects of parameters such as the geometry of the cutting bar (including length and diameter), damping, the cutting coefficient, the cutting depth, the number of the cutting teeth, the amplitude of the cutting force, and the ply angle on nonlinear lobes and primary resonance curves during the cutting process are investigated using numerical calculations. The results demonstrate that the critical cutting depth is inversely proportional to the aspect ratio of the cutting bar and the cutting force coefficient. Meanwhile, the chatter stability in the milling process can be significantly enhanced by increasing the structural damping. The peak of the primary resonance curve is bent toward the right side. Due to the cubic nonlinearity in the cutting system, primary resonance curves show the characteristics of typical Duffing’s vibrator with hard spring, and jump and multivalue regions appear. |
| format | Article |
| id | doaj-art-034596b1f58e4e46adf3f059bc076116 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-034596b1f58e4e46adf3f059bc0761162025-02-03T05:51:12ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/59715405971540Nonlinear Dynamic Analysis of the Cutting Process of a Nonextensible Composite Boring BarBole Ma0Yongsheng Ren1School of Aerospace Engineering, Beijing Institute of Technology, Beijing, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, ChinaA nonlinear dynamic analysis of the cutting process of a nonextensible composite cutting bar is presented. The cutting bar is simplified as a cantilever with plane bending. The nonlinearity is mainly originated from the nonextensible assumption, and the material of cutting bar is assumed to be viscoelastic composite, which is described by the Kelvin–Voigt equation. The motion equation of nonlinear chatter of the cutting system is derived based on the Hamilton principle. The partial differential equation of motion is discretized using the Galerkin method to obtain a 1-dof nonlinear ordinary differential equation in a generalized coordinate system. The steady forced response of the cutting system under periodically varying cutting force is approximately solved by the multiscale method. Meanwhile, the effects of parameters such as the geometry of the cutting bar (including length and diameter), damping, the cutting coefficient, the cutting depth, the number of the cutting teeth, the amplitude of the cutting force, and the ply angle on nonlinear lobes and primary resonance curves during the cutting process are investigated using numerical calculations. The results demonstrate that the critical cutting depth is inversely proportional to the aspect ratio of the cutting bar and the cutting force coefficient. Meanwhile, the chatter stability in the milling process can be significantly enhanced by increasing the structural damping. The peak of the primary resonance curve is bent toward the right side. Due to the cubic nonlinearity in the cutting system, primary resonance curves show the characteristics of typical Duffing’s vibrator with hard spring, and jump and multivalue regions appear.http://dx.doi.org/10.1155/2020/5971540 |
| spellingShingle | Bole Ma Yongsheng Ren Nonlinear Dynamic Analysis of the Cutting Process of a Nonextensible Composite Boring Bar Shock and Vibration |
| title | Nonlinear Dynamic Analysis of the Cutting Process of a Nonextensible Composite Boring Bar |
| title_full | Nonlinear Dynamic Analysis of the Cutting Process of a Nonextensible Composite Boring Bar |
| title_fullStr | Nonlinear Dynamic Analysis of the Cutting Process of a Nonextensible Composite Boring Bar |
| title_full_unstemmed | Nonlinear Dynamic Analysis of the Cutting Process of a Nonextensible Composite Boring Bar |
| title_short | Nonlinear Dynamic Analysis of the Cutting Process of a Nonextensible Composite Boring Bar |
| title_sort | nonlinear dynamic analysis of the cutting process of a nonextensible composite boring bar |
| url | http://dx.doi.org/10.1155/2020/5971540 |
| work_keys_str_mv | AT bolema nonlineardynamicanalysisofthecuttingprocessofanonextensiblecompositeboringbar AT yongshengren nonlineardynamicanalysisofthecuttingprocessofanonextensiblecompositeboringbar |