日本機械学会論文集 C編
Online ISSN : 1884-8354
Print ISSN : 0387-5024
梁の衝突振動における分岐現象と減衰の影響(機械力学,計測,自動制御)
吉武 裕原田 晃神谷 孝治田坂 秀憲荻野 弘章横峯 正典
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2009 年 75 巻 750 号 p. 279-286

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Impact vibration of beams was treated as an example of the impact vibration of a continuous system and the following points were researched: (a) The number of modes to express the impact vibration phenomena sufficiently. (b) The affect of damping on the impact vibration of beams. The following points were made clear through this research: (1) By adopting six beam modes and using Hongo's collision model with velocity dependent coefficient of restitution, the theoretical and experimental results agree well each other qualitatively. (2) The dampings of higher beam modes and accordingly behavior of those modes strongly influences bifurcation. (3) In the beam with larger damping, chaos occurred after period double bifurcations, on the other hand, in the beam with smaller damping, chaos occurred after torus doubling. From the viewpoint of engineering, the transition from periodic motion to chaos is interpreted as the grazing bifurcation which is recognized in the impact vibration system of particles.

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© 2009 社団法人日本機械学会
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