Bifurcation Characteristics Study of Cycloid Ball Planetary Transmission

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (16) : 134-140.

Yang ronggang An zijun Jiang Wei

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Abstract

In order to reveal the nonlinear dynamic behavior of the cycloid ball planetary transmission, pure torsion strengthening nonlinear coupling dynamic model is established and external excitation and meshing pair meshing state and meshing stiffness of the nonlinear factors are included in the model. The nonlinear function of the preload is established to describe the state of the meshing pair. According to the static analysis, the static deformation of meshing point is obtained, and then set up the nonlinear dynamic differential equations, using MATLAB to obtain the system with pressure shrinking, damping coefficient of variation of the bifurcation diagram and draw different parameters of phase diagram and Poincare map.The effects of different parameters on the bifurcation characteristics of the system are studied.The results show that the axial compression has a great influence on the stability of the system.Increase of axial compression and rotational damping coefficient, the system at high speed operation is stable in the short period, the system at low speed operation is stable in the quasi periodic motion. The stability of small damping system is higher in low speed state, the stability of high damping system is high in the high speed state.

Key words

Cycloid ball planetary transmission / Nonlinear vibration / Bifurcation / Chaos / Quasi period;

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Yang ronggang An zijun Jiang Wei. Bifurcation Characteristics Study of Cycloid Ball Planetary Transmission[J]. Journal of Vibration and Shock, 2017, 36(16): 134-140

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