二本の梁の衝突振動(機械力学,計測,自動制御)

概要

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Impact vibration of two beams was treated as an example of the impact vibration of continuous systems that are expressed by vibration modes and following points were researched by numerical calculation and experiment. (a) The number of modes needed to express the impact vibration phenomena sufficiently. (b) Whether there is the grazing bifurcation or not. (c) The energy level of each mode that excited by the impacts. The followings were made clear. (1) By adopting six natural modes, the theoretical result and the experimental ones about bifurcation diagram agree well each other qualitatively, and the characteristic of the diagram is a little different from that of the beam impacted to the wall. (2) The transition from periodic vibration to chaos is interpreted as the grazing bifurcation and its bifurcation becomes a little different one depending on the phase relation of the beams. (3) The tendency of the energy levels of the modes excited by the impacts is similar to that of the beam impacted to the wall, but the levels are little lower.
2010-03-25