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Structural Engineering and Mechanics Volume 55, Number 4, August25 2015 , pages 839-856 DOI: https://doi.org/10.12989/sem.2015.55.4.839 |
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Helical gear multi-contact tooth mesh load analysis with flexible bearings and shafts |
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Chengwu Li, Yulin He and Xianxiong Ning
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| Abstract | ||
| A multi-contact tooth meshing model for helical gear pairs considering bearing and shaft deformations is proposed. First, to easily incorporate into the system model, the complicated Harris\'s bearing force-displacement relationship is simplified applying a linear least square curve fit. Then, effects of shaft and bearing flexibilities on the helical gear meshing behavior are implemented through transformation matrices which contain the helical gear orientation and spatial displacement under loads. Finally, true contact lines between conjugated teeth are approximated applying a modified meshing equation that includes the influence of tooth flank displacement on the tooth contact induced by shaft and bearing displacements. Based on the model, the bearing\'s force-displacement relation is examined, and the effects of shaft deformation and external load on the multi-contact tooth mesh load distribution are also analyzed. The advantage of this work is, unlike previous works to search true contact lines through time-consuming iterative strategy, to determine true contact lines between conjugated teeth directly with presentation of deformations of bearings and shafts. | ||
| Key Words | ||
| helical gear; multi-contact; load analysis | ||
| Address | ||
| Chengwu Li, Yulin He and Xianxiong Ning: State Key Lab for Mechanical Transmission, Chongqing University, No. 174 Shazhengjie, Shapingba, Chongqing, P.R. China | ||