Spiral Bevel Gears Nonlinear Vibration Having Radial and Axial Misalignments Effects
In gear transmissions, vibration causes noise and malfunction. In actual applications, misalignments contribute to intensifying the destructive effect of vibrations. In this paper, the nonlinear dynamics of a spiral bevel gear pair, with small helix angle, considering different misalignments, are de...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-08-01
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| Series: | Vibration |
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| Online Access: | https://www.mdpi.com/2571-631X/4/3/37 |
| _version_ | 1797516993496088576 |
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| author | Moslem Molaie Farhad S. Samani Francesco Pellicano |
| author_facet | Moslem Molaie Farhad S. Samani Francesco Pellicano |
| author_sort | Moslem Molaie |
| collection | DOAJ |
| description | In gear transmissions, vibration causes noise and malfunction. In actual applications, misalignments contribute to intensifying the destructive effect of vibrations. In this paper, the nonlinear dynamics of a spiral bevel gear pair, with small helix angle, considering different misalignments, are deeply investigated. Axial misalignment, radial misalignment, and the combination of these two types are considered in this study. The governing equation is numerically solved through an implicit Runge–Kutta scheme. Since the main goal of this study is the analysis of the dynamic scenario, the mesh stiffness of the gear pair is obtained from the literature. The dynamical system is nonlinear and time-varying; it is analyzed through time responses, phase portraits, Poincaré maps, and bifurcation diagrams. Results show that, among the considered three cases with different types of misalignments, the spiral bevel gear with axial misalignment is the worst destructive case; aperiodic, subharmonic, and multiperiod responses are observable for this case. It is interesting that the chaotic responses for the case, having both types of misalignments, are less likely for the case with axial misalignment, only. |
| first_indexed | 2024-03-10T07:08:40Z |
| format | Article |
| id | doaj.art-67b0cdb60713467581265f60033d627e |
| institution | Directory Open Access Journal |
| issn | 2571-631X |
| language | English |
| last_indexed | 2024-03-10T07:08:40Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Vibration |
| spelling | doaj.art-67b0cdb60713467581265f60033d627e2023-11-22T15:36:11ZengMDPI AGVibration2571-631X2021-08-014366667810.3390/vibration4030037Spiral Bevel Gears Nonlinear Vibration Having Radial and Axial Misalignments EffectsMoslem Molaie0Farhad S. Samani1Francesco Pellicano2Department of Engineering “Enzo Ferrari”, InterMech MoRe Centre, University of Modena and Reggio Emilia, 41125 Modena, ItalyDepartment of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman 7618868366, IranDepartment of Engineering “Enzo Ferrari”, InterMech MoRe Centre, University of Modena and Reggio Emilia, 41125 Modena, ItalyIn gear transmissions, vibration causes noise and malfunction. In actual applications, misalignments contribute to intensifying the destructive effect of vibrations. In this paper, the nonlinear dynamics of a spiral bevel gear pair, with small helix angle, considering different misalignments, are deeply investigated. Axial misalignment, radial misalignment, and the combination of these two types are considered in this study. The governing equation is numerically solved through an implicit Runge–Kutta scheme. Since the main goal of this study is the analysis of the dynamic scenario, the mesh stiffness of the gear pair is obtained from the literature. The dynamical system is nonlinear and time-varying; it is analyzed through time responses, phase portraits, Poincaré maps, and bifurcation diagrams. Results show that, among the considered three cases with different types of misalignments, the spiral bevel gear with axial misalignment is the worst destructive case; aperiodic, subharmonic, and multiperiod responses are observable for this case. It is interesting that the chaotic responses for the case, having both types of misalignments, are less likely for the case with axial misalignment, only.https://www.mdpi.com/2571-631X/4/3/37nonlinear vibrationspiral bevel geartransmission errormisalignment |
| spellingShingle | Moslem Molaie Farhad S. Samani Francesco Pellicano Spiral Bevel Gears Nonlinear Vibration Having Radial and Axial Misalignments Effects Vibration nonlinear vibration spiral bevel gear transmission error misalignment |
| title | Spiral Bevel Gears Nonlinear Vibration Having Radial and Axial Misalignments Effects |
| title_full | Spiral Bevel Gears Nonlinear Vibration Having Radial and Axial Misalignments Effects |
| title_fullStr | Spiral Bevel Gears Nonlinear Vibration Having Radial and Axial Misalignments Effects |
| title_full_unstemmed | Spiral Bevel Gears Nonlinear Vibration Having Radial and Axial Misalignments Effects |
| title_short | Spiral Bevel Gears Nonlinear Vibration Having Radial and Axial Misalignments Effects |
| title_sort | spiral bevel gears nonlinear vibration having radial and axial misalignments effects |
| topic | nonlinear vibration spiral bevel gear transmission error misalignment |
| url | https://www.mdpi.com/2571-631X/4/3/37 |
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