THREE BIFURCATION TYPES IN THE SPINDLE-BALL BEARING SYSTEM

GAO Shang-han LONG Xin-hua MENG Guang

Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (4) : 59-64.

PDF(2141 KB)
PDF(2141 KB)
Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (4) : 59-64.
论文

THREE BIFURCATION TYPES IN THE SPINDLE-BALL BEARING SYSTEM

  • GAO Shang-han LONG Xin-hua MENG Guang
Author information +
History +

Abstract

Abstract: A six-degree-of-freedom (DOF) model is presented for the study of the bifurcation of the machine-tool spindle-bearing system in the paper. The dynamics of machine-tool spindle system supported by ball bearings can be described by a set of second order nonlinear differential equations with piecewise stiffness and damping due to the bearing clearance. Numerical results show when the inner race touches the bearing ball with a low speed, grazing bifurcation occurs. The solutions of this system evolve from quasi-periodic to chaotic orbit, from period doubled orbit to periodic orbit, and from periodic orbit to quasi-periodic orbit through grazing bifurcations. In addition, the route of the period-doubling bifurcation to chaos and the tori doubling process to chaos which usually occurs in the impact system are also observed in this spindle-bearing system. These researches rich our understanding to chaos and promote the investigation into nonlinear dynamics theory in the spindle-bearing system and application.

Key words

spindle-ball bearing system / grazing bifurcation / doubling bifurcation / tori doubling process

Cite this article

Download Citations
GAO Shang-han LONG Xin-hua MENG Guang. THREE BIFURCATION TYPES IN THE SPINDLE-BALL BEARING SYSTEM[J]. Journal of Vibration and Shock, 2009, 28(4): 59-64
PDF(2141 KB)

Accesses

Citation

Detail

Sections
Recommended

/