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引用次数: 0

摘要

摘要在Bigoni和Noselli发明了“自由转轮装置”、“颤振机”和产生reut型载荷的装置之后,从动件载荷引起的颤振失稳已经成为现实。进一步的研究证明,颤振不稳定性、Hopf分岔、耗散不稳定性和齐格勒悖论在保守系统中都是可能的,从而推翻了一个持续了至少50年的错误信念。最后,研究了一种新的颤振不稳定性,这种不稳定性是由两个单独稳定的结构“融合”产生的,但当两个结构连接在一起时就变得不稳定了。不稳定性的分析在这里涉及到对约束曲率的不连续的处理。
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Flutter instability in elastic structures
Abstract. Flutter instability caused by follower loads has become a reality after the invention of the "freely-rotating wheel device" by Bigoni and Noselli, of the "flutter machine", and of the device to generate Reut-type loads. Further research has proven that flutter instability, Hopf bifurcation, dissipation instabilities, and the Ziegler paradox are all possible in conservative systems, thus disproving an erroneous belief continuing since at least 50 years. Finally, a new type of flutter instability has been addressed, generated by the "fusion" of two structures which are separately stable, but become unstable when joined together. The analysis of instability involves here the treatment of a discontinuity in the curvature of a constraint.
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