Estimation of loaded static transmission error of helical gears by vibration measurement under operating load conditions
This paper proposes a method to estimate the loaded static transmission error (STE) waveform by vibration measurement under operating load conditions of a gearbox. The proposed method is based on the understanding that vibration is determined by the loaded STE and frequency response function (FRF) o...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Japanese |
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The Japan Society of Mechanical Engineers
2016-11-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/82/844/82_16-00429/_pdf/-char/en |
| _version_ | 1828126161824120832 |
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| author | Toshiya NAGUMO Shigeki MATSUMURA Haruo HOUJOH |
| author_facet | Toshiya NAGUMO Shigeki MATSUMURA Haruo HOUJOH |
| author_sort | Toshiya NAGUMO |
| collection | DOAJ |
| description | This paper proposes a method to estimate the loaded static transmission error (STE) waveform by vibration measurement under operating load conditions of a gearbox. The proposed method is based on the understanding that vibration is determined by the loaded STE and frequency response function (FRF) of the gearbox. The loaded STE is calculated by dividing the measured vibration by the FRF. The FRF is derived by continuously combining the measured vibration response curves of mesh fundamental and harmonic frequency components with the calculated FRF by using a dynamic model of the gearbox. By employing parameter optimization for constructing a dynamic model that has the best fit with the measured vibration response curve, it becomes possible to accurately estimate the loaded STE. Because the objective function is multimodal, we solved this optimization problem by using a real-coded genetic algorithm (RCGA). The proposed method was performed on a single-stage helical gear vibration test rig. The estimated results are then compared to the calculated loaded STE by tooth contact analysis. This comparison shows good qualitative and quantitative agreement between the estimated and the calculated loaded STE waveforms. Our findings confirmed that the loaded STE can be estimated accurately by vibration measurement and that the effectiveness of the proposed method was verified experimentally. |
| first_indexed | 2024-04-11T15:30:27Z |
| format | Article |
| id | doaj.art-717fb00fd139450b88f295a1f986ed20 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-11T15:30:27Z |
| publishDate | 2016-11-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-717fb00fd139450b88f295a1f986ed202022-12-22T04:16:09ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612016-11-018284416-0042916-0042910.1299/transjsme.16-00429transjsmeEstimation of loaded static transmission error of helical gears by vibration measurement under operating load conditionsToshiya NAGUMO0Shigeki MATSUMURA1Haruo HOUJOH2Technology Research Center, Sumitomo Heavy Industries, Ltd.Laboratory for Future Interdisciplinary Research of Science and Technology, Tokyo Institute of TechnologyTokyo Institute of TechnologyThis paper proposes a method to estimate the loaded static transmission error (STE) waveform by vibration measurement under operating load conditions of a gearbox. The proposed method is based on the understanding that vibration is determined by the loaded STE and frequency response function (FRF) of the gearbox. The loaded STE is calculated by dividing the measured vibration by the FRF. The FRF is derived by continuously combining the measured vibration response curves of mesh fundamental and harmonic frequency components with the calculated FRF by using a dynamic model of the gearbox. By employing parameter optimization for constructing a dynamic model that has the best fit with the measured vibration response curve, it becomes possible to accurately estimate the loaded STE. Because the objective function is multimodal, we solved this optimization problem by using a real-coded genetic algorithm (RCGA). The proposed method was performed on a single-stage helical gear vibration test rig. The estimated results are then compared to the calculated loaded STE by tooth contact analysis. This comparison shows good qualitative and quantitative agreement between the estimated and the calculated loaded STE waveforms. Our findings confirmed that the loaded STE can be estimated accurately by vibration measurement and that the effectiveness of the proposed method was verified experimentally.https://www.jstage.jst.go.jp/article/transjsme/82/844/82_16-00429/_pdf/-char/enhelical geartransmission errormesh excitationfrequency response functionvibrationtooth surface deviationtooth contact analysisreal-coded genetic algorithm |
| spellingShingle | Toshiya NAGUMO Shigeki MATSUMURA Haruo HOUJOH Estimation of loaded static transmission error of helical gears by vibration measurement under operating load conditions Nihon Kikai Gakkai ronbunshu helical gear transmission error mesh excitation frequency response function vibration tooth surface deviation tooth contact analysis real-coded genetic algorithm |
| title | Estimation of loaded static transmission error of helical gears by vibration measurement under operating load conditions |
| title_full | Estimation of loaded static transmission error of helical gears by vibration measurement under operating load conditions |
| title_fullStr | Estimation of loaded static transmission error of helical gears by vibration measurement under operating load conditions |
| title_full_unstemmed | Estimation of loaded static transmission error of helical gears by vibration measurement under operating load conditions |
| title_short | Estimation of loaded static transmission error of helical gears by vibration measurement under operating load conditions |
| title_sort | estimation of loaded static transmission error of helical gears by vibration measurement under operating load conditions |
| topic | helical gear transmission error mesh excitation frequency response function vibration tooth surface deviation tooth contact analysis real-coded genetic algorithm |
| url | https://www.jstage.jst.go.jp/article/transjsme/82/844/82_16-00429/_pdf/-char/en |
| work_keys_str_mv | AT toshiyanagumo estimationofloadedstatictransmissionerrorofhelicalgearsbyvibrationmeasurementunderoperatingloadconditions AT shigekimatsumura estimationofloadedstatictransmissionerrorofhelicalgearsbyvibrationmeasurementunderoperatingloadconditions AT haruohoujoh estimationofloadedstatictransmissionerrorofhelicalgearsbyvibrationmeasurementunderoperatingloadconditions |