Quasi-Static Characteristics and Vibration Responses Analysis of Helical Geared Rotor System with Random Cumulative Pitch Deviations
As one of the long period gear errors, the effects of random cumulative pitch deviations on mesh excitations and vibration responses of a helical geared rotor system (HGRS) are investigated. The long-period mesh stiffness (LPMS), static transmission error (STE), as well as composite mesh error (CMS)...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-06-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/10/12/4403 |
| _version_ | 1797564110961901568 |
|---|---|
| author | Bing Yuan Geng Liu Lan Liu |
| author_facet | Bing Yuan Geng Liu Lan Liu |
| author_sort | Bing Yuan |
| collection | DOAJ |
| description | As one of the long period gear errors, the effects of random cumulative pitch deviations on mesh excitations and vibration responses of a helical geared rotor system (HGRS) are investigated. The long-period mesh stiffness (LPMS), static transmission error (STE), as well as composite mesh error (CMS), and load distributions of helical gears are calculated using an enhanced loaded tooth contact analysis (LTCA) model. A dynamic model with multi degrees of freedom (DOF) is employed to predict the vibration responses of HGRS. Mesh excitations and vibration responses analysis of unmodified HGRS are conducted in consideration of random cumulative pitch deviations. The results indicate that random cumulative pitch deviations have significant effects on mesh excitations and vibration responses of HGRS. The curve shapes of STE and CMS become irregular when the random characteristic of cumulative pitch deviations is considered, and the appearance of partial contact loss in some mesh cycles leads to decreased LPMS when load torque is relatively low. Vibration modulation phenomenon can be observed in dynamic responses of HGRS. In relatively light load conditions, the amplitudes of sideband frequencies become larger than that of mesh frequency and its harmonics (MFIHs) because of relatively high contact ratio. The influences of random cumulative pitch deviations on the vibration responses of modified HGRS are also discussed. |
| first_indexed | 2024-03-10T18:52:48Z |
| format | Article |
| id | doaj.art-e343fa92b7394a009e8fb4339cc3ec01 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T18:52:48Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-e343fa92b7394a009e8fb4339cc3ec012023-11-20T05:03:40ZengMDPI AGApplied Sciences2076-34172020-06-011012440310.3390/app10124403Quasi-Static Characteristics and Vibration Responses Analysis of Helical Geared Rotor System with Random Cumulative Pitch DeviationsBing Yuan0Geng Liu1Lan Liu2School of Mechanical Engineering, Xi’an Technological University, Xi’an 710021, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaAs one of the long period gear errors, the effects of random cumulative pitch deviations on mesh excitations and vibration responses of a helical geared rotor system (HGRS) are investigated. The long-period mesh stiffness (LPMS), static transmission error (STE), as well as composite mesh error (CMS), and load distributions of helical gears are calculated using an enhanced loaded tooth contact analysis (LTCA) model. A dynamic model with multi degrees of freedom (DOF) is employed to predict the vibration responses of HGRS. Mesh excitations and vibration responses analysis of unmodified HGRS are conducted in consideration of random cumulative pitch deviations. The results indicate that random cumulative pitch deviations have significant effects on mesh excitations and vibration responses of HGRS. The curve shapes of STE and CMS become irregular when the random characteristic of cumulative pitch deviations is considered, and the appearance of partial contact loss in some mesh cycles leads to decreased LPMS when load torque is relatively low. Vibration modulation phenomenon can be observed in dynamic responses of HGRS. In relatively light load conditions, the amplitudes of sideband frequencies become larger than that of mesh frequency and its harmonics (MFIHs) because of relatively high contact ratio. The influences of random cumulative pitch deviations on the vibration responses of modified HGRS are also discussed.https://www.mdpi.com/2076-3417/10/12/4403helical gearrandom cumulative pitch deviationsmesh stiffnesstransmission errorvibration modulation |
| spellingShingle | Bing Yuan Geng Liu Lan Liu Quasi-Static Characteristics and Vibration Responses Analysis of Helical Geared Rotor System with Random Cumulative Pitch Deviations Applied Sciences helical gear random cumulative pitch deviations mesh stiffness transmission error vibration modulation |
| title | Quasi-Static Characteristics and Vibration Responses Analysis of Helical Geared Rotor System with Random Cumulative Pitch Deviations |
| title_full | Quasi-Static Characteristics and Vibration Responses Analysis of Helical Geared Rotor System with Random Cumulative Pitch Deviations |
| title_fullStr | Quasi-Static Characteristics and Vibration Responses Analysis of Helical Geared Rotor System with Random Cumulative Pitch Deviations |
| title_full_unstemmed | Quasi-Static Characteristics and Vibration Responses Analysis of Helical Geared Rotor System with Random Cumulative Pitch Deviations |
| title_short | Quasi-Static Characteristics and Vibration Responses Analysis of Helical Geared Rotor System with Random Cumulative Pitch Deviations |
| title_sort | quasi static characteristics and vibration responses analysis of helical geared rotor system with random cumulative pitch deviations |
| topic | helical gear random cumulative pitch deviations mesh stiffness transmission error vibration modulation |
| url | https://www.mdpi.com/2076-3417/10/12/4403 |
| work_keys_str_mv | AT bingyuan quasistaticcharacteristicsandvibrationresponsesanalysisofhelicalgearedrotorsystemwithrandomcumulativepitchdeviations AT gengliu quasistaticcharacteristicsandvibrationresponsesanalysisofhelicalgearedrotorsystemwithrandomcumulativepitchdeviations AT lanliu quasistaticcharacteristicsandvibrationresponsesanalysisofhelicalgearedrotorsystemwithrandomcumulativepitchdeviations |