玉軸受のラジアル振動におけるカオス的挙動について

概要

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This paper deals numerically with the inner ring motion in the radial plane of an ideal ball bearing which represents the simplest rotor system. The inner ring has a mass, rotates with a constant speed, and is subjected to a constant radial load. Effects of both damping and radial clearance are taken into account. In carrying out the computation. RKG scheme has been applied to solve the differential equation of motion and also the "cycle-shooting scheme" to periodic solutions. The results show that the system basically reveals harmonic vibrations synchronized with the ball passage motion in the almost range of the rotor speed. In addition, many kinds of subharmonic oscillation and their successive evolution, i. e., the period doubling bifurcation and chaotic vibrations with many so-called windows, have been observed. This chaotic phenomenon has been identified by means of Lyapunov exponents, invariant manifold and bifurcation diagram inspections.
一般社団法人日本機械学会の論文
1992-09-25