Nonlinear characteristics of gear pair considering fractal surface dynamic contact as internal excitation

A novel gear fractal backlash model is established to better consider joint action of all microscopic asperities on gear dynamics, which has the dynamic form from gear center motion simultaneously in this paper. Based on the fractal surface dynamic contact as internal excitation, a gear dynamic model involving surface morphology and gear center motion is established, and a corresponding close-loop algorithm is proposed to solve system dynamics by combining mesh stiffness and time-varying pressure angle. Accordingly, the chaos of the gear system is analyzed by the bifurcation diagram, phase portraits, and Poincare mapping. The comprehensive and strong influence of dynamic fractal backlash on the nonlinear characteristics of the gear system is also demonstrated. The intense effects of tooth surface topography through fractal backlash are explained in detail. Comparison with experimental data is conducted to verify the superiority of the proposed model.

Automated summary

A novel gear fractal backlash model is established in this paper to better consider the joint action of all microscopic asperities on gear dynamics. The proposed model incorporates surface morphology and gear center motion, and a corresponding close-loop algorithm is introduced to solve system dynamics. Through analysis using bifurcation diagram, phase portraits, and Poincare mapping, the chaotic behavior of the gear system and the strong influence of dynamic fractal backlash on its nonlinear characteristics are demonstrated. The superiority of the model is verified through comparison with experimental data.