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首页> 外文期刊>International Journal of Solids and Structures >Nonlinear interactions in the planar dynamics of cable-stayed beam
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Nonlinear interactions in the planar dynamics of cable-stayed beam

机译：斜拉梁平面动力学中的非线性相互作用

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An analytical model is proposed to study the nonlinear interactions between beam and cable dynamics in stayed-systems. The integro-differential problem, describing the in-plane motion of a simple cable-stayed beam, presents quadratic and cubic nonlinearities both in the cable equation and at the boundary conditions. Mainly studied are the effects of quadratic interactions, appearing at relatively low oscillation amplitude. To this end an analysis of the sensitivity of modal properties to parameter variations, in intervals of technical interest, has evidenced the occurrence of one-to-two and two-to-one internal resonances between global and local modes. The interactions between the resonant modes evidences two different sources of oscillation in cables, illustrated by simple 2dof discrete models. In the one-to-two global-local resonance, a novel mechanism is analyzed, by which cable undergoes large periodic and chaotic oscillations due to an energy transfer from the low-global to high-local frequencies. In two-to-one global local resonance, the well-known parametric-induced cable oscillation in stayed-systems is correctly reinterpreted through the autoparametric resonance between a global and a local mode. Increasing the load the saturation of the global oscillations evidences the energy transfer from high-global to low-local frequencies, producing large cable oscillations. In both cases, the effects of detuning from internal and external resonance are presented. (C) 2003 Elsevier Ltd. All rights reserved. [References: 29]
机译：提出了一个解析模型来研究斜拉系统中梁与索动力之间的非线性相互作用。积分微分问题描述了一个简单的斜拉梁的面内运动，在电缆方程式和边界条件下均表现出二次和三次非线性。主要研究的是二次相互作用的影响，出现在相对较低的振荡幅度。为此，在技术关注的区间内，对模态性质对参数变化的敏感性的分析已证明，在全局和局部模态之间存在一对一和二对一的内部共振。谐振模式之间的相互作用证明了电缆中两种不同的振荡源，通过简单的2dof离散模型进行说明。在一对一的全局局部共振中，分析了一种新颖的机制，由于能量从低全局频率传递到高局部频率，电缆经历了大的周期性和混沌振荡。在二对一的全局局部共振中，通过全局和局部模式之间的自动参量共振可以正确地重新解释斜拉系统中众所周知的参量感应电缆振荡。负载增加，整体振荡的饱和度表明能量从高整体频率传递到低局部频率，从而产生较大的电缆振荡。在这两种情况下，都表现出内部和外部共振失谐的影响。 （C）2003 Elsevier Ltd.保留所有权利。 [参考：29]

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