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首页> 外文期刊>Mechanical systems and signal processing >Free vibration and stability analysis of a cantilever beam axially loaded by an intermittently attached tendon
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Free vibration and stability analysis of a cantilever beam axially loaded by an intermittently attached tendon

机译：通过间歇地附着的肌腱轴向装载的悬臂梁的自由振动和稳定性分析

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摘要

Free vibration and stability analysis of the system consisting of the Euler-Bernoulli beam axially loaded by a tendon is studied in the paper. The tendon is attached to the cantilever beam at the tip as well as in several spanwise locations using mechanical attachment points. This novel beam-tendon system is modelled using a set of partial differential equations and the coupling between the beam and the tendon is ensured by the boundary and continuity conditions. Computational free vibration analysis is conducted using a boundary value problem solver and the results are thoroughly experimentally validated using a bench-top experiment. In particular, the effect of the number of the attachment points and their location on the frequency-loading diagram of the beam-tendon system is investigated for the first time. It is found that the applied axial load causes a frequency shift of beam-dominated natural frequencies, and frequency loci veering between beam-dominated and tendon-dominated modes. Both of these features are shown to be dependent on a number and location of the attachment points. In addition, the effect of the attachment points on the structural stability of the system is numerically studied and it is observed that the critical force of the system with the intermittently attached tendon is always higher than for the system with no attachment points.
机译：在纸上研究了由肌腱轴向装载的欧拉-Bernoulli梁组成的系统的自由振动和稳定性分析。使用机械连接点，肌腱连接到尖端的悬臂梁，以及在几个翼展的位置。通过边界和连续性条件确保了使用一组偏微分方程和梁之间的耦合来建模这种新颖的束肌腱系统。使用边值问题求解器进行计算自由振动分析，并使用台式实验进行全面实验验证结果。特别地，第一次研究了附着点的数量及其位置对光束腱系统的频率加载图的影响。发现施加的轴向载荷导致光束主导的自然频率的频率偏移，以及光束主导和肌腱主导模式之间的频率基因座。这两个特征都被证明取决于附着点的数量和位置。另外，对系统的结构稳定性的效果在数值上进行了研究，并且观察到该系统的临界力与间歇附着的肌腱总是高于没有附接点的系统的临界力。

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