Dynamic characteristics analysis of gear system with coupled thermal-elasto-hydrodynamic-nonlinear effect. (English) Zbl 1492.70013
Summary: To systemically study the dynamic characteristics of the gear system, a single degree-of-freedom coupled thermal-elasto-hydrodynamic-nonlinear (TEHDN) dynamic model is developed with temperature, lubrication and time-varying parameters. Based on the mathematical expressions of thermal deformation, elastohydrodynamic lubrication and other nonlinear factors, the governing differential equation of the coupled system is deduced via the mechanical relationships. The vibration response is obtained by numerical integration and the accuracy and feasibility are verified with the published literature. Parameter analysis on nonlinear dynamic behaviors is conducted to reveal the influences of nonlinear backlash, excitation fluctuation, comprehensive transmission error and surface roughness. The results show that due to the influence of nonlinear backlash, the chaotic motion appears in advance and the chaotic region narrows. The first appearance of chaotic motion lags and shifts to higher excitation amplitude. The transmission error is capable of controlling the chaotic region and vibration intensity, whereas the surface roughness has less effect on the dynamic behavior in lower value. Besides, different meshing impact and bifurcation routes are observed with various parameters. This study could provide a better understand of the stable operation for gear system.
MSC:
| 70K55 | Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics |
| 70E55 | Dynamics of multibody systems |
| 74H65 | Chaotic behavior of solutions to dynamical problems in solid mechanics |
Keywords:
gear system; coupled thermal-elasto-hydrodynamic-nonlinear effect (TEHDN); nonlinear vibration; contact temperature; bifurcationReferences:
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