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Detc 2007 / Ptg-34078 Analytical Study of Helical Gear Dynamics with Slid Ing Friction Using Floquet Theory
| Content Provider | Semantic Scholar |
|---|---|
| Author | He, Song Lin |
| Copyright Year | 2007 |
| Abstract | ∗ Author of correspondence, Phone: (614) 292-9044, F ax: (614) 292-3163. ABSTRACT Analytical models of a helical gear pair are develo p d in order to examine the effect of sliding friction on the dy namic transmission error. Simplified 6 degree-of-freedom and single degree-of-freedom analytical models are developed. These models characterize the contact plane dynamics and c pture the velocity reversal at the pitch line due to slid ing friction. By assuming a constant mesh stiffness density along th e contact lines, a linear time-varying model (with parametric excitation) is obtained. The effect of sliding friction is quan tified by an effective mesh stiffness term. Floquet theory is th en used to obtain closed-form solutions to the dynamic transmi ssion error given periodic piece-wise linear tooth stiffness fu nction. Responses to both initial conditions and forcing fu nction under a nominal torque are derived. Analytical mode ls are validated by comparing predictions with numerical simulations. Finally, parametrically-induced instab ility issues are briefly mentioned. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://adl.osu.edu/sites/adl.osu.edu/files/uploads/C07-10_He%20and%20Singh_2007.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
