论文标题
将能量从弯曲到扭转模式转移到鱼骨悬架桥
Transfer of energy from flexural to torsional modes for the Fish-bone Suspension bridge
论文作者
论文摘要
我们考虑了一种保守的耦合振荡器系统，该系统是沿所谓的悬架桥甲板甲板的弯曲和扭转模式相互作用的简化模型。电缆的弹性响应被认为在牵引力下是渐近线性的，并且在压缩时渐近恒定（放松方案的概括）。我们表明，对于足够大幅度的振动，如果满足参数的一定条件，则可能会发生能量从弯曲模式转移到扭转模式。主要的结果是在我们的上一篇文章中，定理的非平地扩展是在正常模式的频率不再应该是相同的情况下的情况。介绍了涉及我们假设的各种松弛模型的不稳定性图的数值计算。
We consider a conservative coupled oscillators systems which arises as a simplified model of the interaction of flexural and torsional modes of vibration along the deck of the so-called fish-bone model of suspension bridges. The elastic response of the cables is supposed to be asymptotically linear under traction, and asymptotically constant when compressed (a generalization of the slackening regime). We show that for vibrations of sufficiently large amplitude, transfer of energy from flexural modes to torsional modes may occur provided a certain condition on the parameters is satisfied. The main result is a non-trivial extension of a theorem in an our previous article to the case when the frequencies of the normal modes are no more supposed to be the same. Several numerical computations of instability diagrams for various slackening models respecting our assumptions are presented.
