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Calculation of the kinematics of hypoid gears towards developing a method for an equivalent crossed helical gear pair selection for use in tribological experimental evaluations
To experimentally verify power loss and friction for hypoid gears, measurements in a closed power-loop test rig are necessary. However, these are costly and mechanically complex, since they require additional spur gear reducers in the loop. ISO directives document the use of crossed helical gear pai...
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| Main Authors: | , , , , , |
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| Format: | Default Article |
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2017
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| Online Access: | https://hdl.handle.net/2134/26008 |
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| _version_ | 1818171065007865856 |
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| author | E. Athanasopoulos C. Salpistis Mahdi Mohammadpour A. Mihailidis Stephanos Theodossiades R. Grekoussis |
| author_facet | E. Athanasopoulos C. Salpistis Mahdi Mohammadpour A. Mihailidis Stephanos Theodossiades R. Grekoussis |
| author_sort | E. Athanasopoulos (7211681) |
| collection | Figshare |
| description | To experimentally verify power loss and friction for hypoid gears, measurements in a closed power-loop test rig are necessary. However, these are costly and mechanically complex, since they require additional spur gear reducers in the loop. ISO directives document the use of crossed helical gear pairs as virtual gears for hypoids to calculate the sliding velocity since, the flank geometry at the mean point can be precisely represented. The use of such pairs can be a cost effective and simpler alternative for testing purposes. However, the validity of this analogy regarding contact mechanics and tribology for the full mesh cycle has not been investigated hitherto. In the current study a new method for calculating the sliding and rolling speed along the full path of contact of a hypoid gear pair is presented. Cutter kinematics are considered, for the accurate definition of the contact bodies. Using TCA, the load distribution on the tooth under quasi-static conditions and the sliding velocity are calculated for comparison purposes. By applying a selection algorithm, a single experimental crossed helical gear pair is chosen aiming to simulate the contact conditions of hypoid gears. Two test scenarios are studied using EHL film thickness equations and friction models for evaluating the power loss. The contact is an elongated ellipse with varying directions of the sliding and sum velocities, which are considered in the model. The kinematic equivalence shows good agreement while the tribological equivalence is achievable using a reduced input torque. |
| format | Default Article |
| id | rr-article-9561902 |
| institution | Loughborough University |
| publishDate | 2017 |
| record_format | Figshare |
| spelling | rr-article-95619022017-01-01T00:00:00Z Calculation of the kinematics of hypoid gears towards developing a method for an equivalent crossed helical gear pair selection for use in tribological experimental evaluations E. Athanasopoulos (7211681) C. Salpistis (7211684) Mahdi Mohammadpour (7204604) A. Mihailidis (7211687) Stephanos Theodossiades (1247457) R. Grekoussis (7211690) Mechanical engineering not elsewhere classified Hypoid gears Crossed helical gears Tribology Kinematics Flank velocity Efficiency Back-to-back gear test Mechanical Engineering not elsewhere classified Mechanical Engineering To experimentally verify power loss and friction for hypoid gears, measurements in a closed power-loop test rig are necessary. However, these are costly and mechanically complex, since they require additional spur gear reducers in the loop. ISO directives document the use of crossed helical gear pairs as virtual gears for hypoids to calculate the sliding velocity since, the flank geometry at the mean point can be precisely represented. The use of such pairs can be a cost effective and simpler alternative for testing purposes. However, the validity of this analogy regarding contact mechanics and tribology for the full mesh cycle has not been investigated hitherto. In the current study a new method for calculating the sliding and rolling speed along the full path of contact of a hypoid gear pair is presented. Cutter kinematics are considered, for the accurate definition of the contact bodies. Using TCA, the load distribution on the tooth under quasi-static conditions and the sliding velocity are calculated for comparison purposes. By applying a selection algorithm, a single experimental crossed helical gear pair is chosen aiming to simulate the contact conditions of hypoid gears. Two test scenarios are studied using EHL film thickness equations and friction models for evaluating the power loss. The contact is an elongated ellipse with varying directions of the sliding and sum velocities, which are considered in the model. The kinematic equivalence shows good agreement while the tribological equivalence is achievable using a reduced input torque. 2017-01-01T00:00:00Z Text Journal contribution 2134/26008 https://figshare.com/articles/journal_contribution/Calculation_of_the_kinematics_of_hypoid_gears_towards_developing_a_method_for_an_equivalent_crossed_helical_gear_pair_selection_for_use_in_tribological_experimental_evaluations/9561902 CC BY-NC-ND 4.0 |
| spellingShingle | Mechanical engineering not elsewhere classified Hypoid gears Crossed helical gears Tribology Kinematics Flank velocity Efficiency Back-to-back gear test Mechanical Engineering not elsewhere classified Mechanical Engineering E. Athanasopoulos C. Salpistis Mahdi Mohammadpour A. Mihailidis Stephanos Theodossiades R. Grekoussis Calculation of the kinematics of hypoid gears towards developing a method for an equivalent crossed helical gear pair selection for use in tribological experimental evaluations |
| title | Calculation of the kinematics of hypoid gears towards developing a method for an equivalent crossed helical gear pair selection for use in tribological experimental evaluations |
| title_full | Calculation of the kinematics of hypoid gears towards developing a method for an equivalent crossed helical gear pair selection for use in tribological experimental evaluations |
| title_fullStr | Calculation of the kinematics of hypoid gears towards developing a method for an equivalent crossed helical gear pair selection for use in tribological experimental evaluations |
| title_full_unstemmed | Calculation of the kinematics of hypoid gears towards developing a method for an equivalent crossed helical gear pair selection for use in tribological experimental evaluations |
| title_short | Calculation of the kinematics of hypoid gears towards developing a method for an equivalent crossed helical gear pair selection for use in tribological experimental evaluations |
| title_sort | calculation of the kinematics of hypoid gears towards developing a method for an equivalent crossed helical gear pair selection for use in tribological experimental evaluations |
| topic | Mechanical engineering not elsewhere classified Hypoid gears Crossed helical gears Tribology Kinematics Flank velocity Efficiency Back-to-back gear test Mechanical Engineering not elsewhere classified Mechanical Engineering |
| url | https://hdl.handle.net/2134/26008 |