二自由度がた系の非線形振動 : 調和振動,高調波振動,カオスおよびハイパーカオス

概要

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This paper deals with nonlinear vibrations of a two-degrees-of-freedom system with clearance. The resonance curves of harmonic, higher-harmonic and ultra-subharmonic vibrations are obtained using the direct numerical integral method previously presented by us, which is a kind of shooting method and is highly accurate. Beat, chaos and hyper-chaos are also determined numerically. Influences of acceleration amplitude and frequency of base excitation on the vibration characteristics are discussed. It was found out that (1) higher-harmonic vibrations which had the islandlike resonance curves occurred in a large base excitation amplitude, (2) there were two routes to chaos, namely, period doubling route and torus doubling route, and (3) hyper-chaos was found for the first time in a mechanical system.
一般社団法人日本機械学会の論文
1995-11-25