Statistical Analysis for Transmission Error of Gear System with Mechanical and Thermal Deformation Uncertainties
We establish a robust algorithm to analyze the influence of system uncertainties on the transmission error of a spur gear pair under 2D simplification. The algorithm provides a way of generating smooth cutter profiles with machining uncertainties and measuring the thermal deformation through the unc...
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MDPI AG
2021-07-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/14/6582 |
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| author | Joon-Ho Lee Hee-Sun Choi Jong-Hyeon Sohn Geun-Ho Lee Dong-Il Park Jin-Gyun Kim |
| author_facet | Joon-Ho Lee Hee-Sun Choi Jong-Hyeon Sohn Geun-Ho Lee Dong-Il Park Jin-Gyun Kim |
| author_sort | Joon-Ho Lee |
| collection | DOAJ |
| description | We establish a robust algorithm to analyze the influence of system uncertainties on the transmission error of a spur gear pair under 2D simplification. The algorithm provides a way of generating smooth cutter profiles with machining uncertainties and measuring the thermal deformation through the uncertainties in material properties. Then, it produces realizations of gear tooth profiles based on the analytical method for accuracy and computational efficiency. Numerical investigations show the statistical analysis on the tooth contact analysis by comparing steel and plastic gears. It is worthwhile remarking that the plastic gear is susceptible to the geometric error caused by thermal deformation. Moreover, although the impact of thermal deformation on steel gear may seem slim, it can have a noticeable influence when it exists with mechanical uncertainties together. |
| first_indexed | 2024-03-10T09:46:18Z |
| format | Article |
| id | doaj.art-c7ccb2cf428a479d80a964a524822f13 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T09:46:18Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-c7ccb2cf428a479d80a964a524822f132023-11-22T03:12:12ZengMDPI AGApplied Sciences2076-34172021-07-011114658210.3390/app11146582Statistical Analysis for Transmission Error of Gear System with Mechanical and Thermal Deformation UncertaintiesJoon-Ho Lee0Hee-Sun Choi1Jong-Hyeon Sohn2Geun-Ho Lee3Dong-Il Park4Jin-Gyun Kim5Department of Robotics and Mechatronics, Korea Institute of Machinery and Materials, 156, Gajeongbuk-Ro, Yuseong-gu, Daejeon 34103, KoreaDepartment of Aerospace Engineering Sciences, University of Colorado, Boulder, CO 80309-429, USADepartment of Smart Industrial Machine Technologies, Korea Institute of Machinery and Materials, 156, Gajeongbuk-Ro, Yuseong-gu, Daejeon 34103, KoreaDepartment of Smart Industrial Machine Technologies, Korea Institute of Machinery and Materials, 156, Gajeongbuk-Ro, Yuseong-gu, Daejeon 34103, KoreaDepartment of Robotics and Mechatronics, Korea Institute of Machinery and Materials, 156, Gajeongbuk-Ro, Yuseong-gu, Daejeon 34103, KoreaDepartment of Mechanical Engineering (Integrated Engineering), Kyung Hee University 1732, Deogyeong-daero, Giheung-gu, Yongin-si 17104, Gyeonggi-do, KoreaWe establish a robust algorithm to analyze the influence of system uncertainties on the transmission error of a spur gear pair under 2D simplification. The algorithm provides a way of generating smooth cutter profiles with machining uncertainties and measuring the thermal deformation through the uncertainties in material properties. Then, it produces realizations of gear tooth profiles based on the analytical method for accuracy and computational efficiency. Numerical investigations show the statistical analysis on the tooth contact analysis by comparing steel and plastic gears. It is worthwhile remarking that the plastic gear is susceptible to the geometric error caused by thermal deformation. Moreover, although the impact of thermal deformation on steel gear may seem slim, it can have a noticeable influence when it exists with mechanical uncertainties together.https://www.mdpi.com/2076-3417/11/14/6582gear pairtransmission errorsmechanical uncertaintythermal deformationstatistical analysis |
| spellingShingle | Joon-Ho Lee Hee-Sun Choi Jong-Hyeon Sohn Geun-Ho Lee Dong-Il Park Jin-Gyun Kim Statistical Analysis for Transmission Error of Gear System with Mechanical and Thermal Deformation Uncertainties Applied Sciences gear pair transmission errors mechanical uncertainty thermal deformation statistical analysis |
| title | Statistical Analysis for Transmission Error of Gear System with Mechanical and Thermal Deformation Uncertainties |
| title_full | Statistical Analysis for Transmission Error of Gear System with Mechanical and Thermal Deformation Uncertainties |
| title_fullStr | Statistical Analysis for Transmission Error of Gear System with Mechanical and Thermal Deformation Uncertainties |
| title_full_unstemmed | Statistical Analysis for Transmission Error of Gear System with Mechanical and Thermal Deformation Uncertainties |
| title_short | Statistical Analysis for Transmission Error of Gear System with Mechanical and Thermal Deformation Uncertainties |
| title_sort | statistical analysis for transmission error of gear system with mechanical and thermal deformation uncertainties |
| topic | gear pair transmission errors mechanical uncertainty thermal deformation statistical analysis |
| url | https://www.mdpi.com/2076-3417/11/14/6582 |
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