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Development of Three Simple Master Dynamic Stability Formulae for Structural Members Subjected to Periodic Load

机译:周期性荷载作用下结构构件三个简单主动力稳定性公式的建立

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Study of the dynamic stability behaviour of structural members, like beams, plates and shells, subjected to axial or in-plane loads, is necessary to predict the instability regions and to avoid catastrophic failures due to the flutter instability. These studies by several researchers are well demonstrated in the literature for the specific structural members independently. A thorough understanding of these independent studies led to what is called the master dynamic stability formula which is recognized by the authors for the first time, when proper non-dimensional parameters for the load and frequency parameters are employed. Further study on this topic shows that apart from the master dynamic stability formula developed earlier, the existence of two more master dynamic stability formulae are shown, which are obtained by using different non-dimensional parameters for the loads. In this paper, the usefulness of these master dynamic stability formulae, which are invariant with respect to the structural member considered, and their relative ease in the physical interpretation of the results are clearly presented. Considering, three typical structural members, the solution of which is obtained by using the three master dynamic stability formulae. Comparison of these solutions with those available in the literature shows the efficacy of the master dynamic stability formulae.
机译:研究结构构件(例如,梁,板和壳)在轴向或平面内的载荷时的动态稳定性行为,对于预测不稳定性区域并避免由于颤振不稳定性而导致的灾难性破坏是必要的。几位研究人员的这些研究在文献中已针对独立的特定结构成员进行了充分证明。对这些独立研究的透彻理解导致了所谓的主动力稳定性公式,这是作者在使用适当的载荷和频率参数的无量纲参数时首次认识到的。对该主题的进一步研究表明,除了较早开发的主动力稳定性公式外,还显示了另外两个主动力稳定性公式,这些公式是通过使用不同的无量纲参数来获得的。在本文中,这些主要的动态稳定性公式(对于所考虑的结构构件而言是不变的)的有用性以及它们在结果的物理解释中的相对易用性都得到了清晰的展示。考虑到三个典型的结构构件,通过使用三个主要的动态稳定性公式获得其解决方案。将这些解决方案与文献中提供的解决方案进行比较,可以得出主要动态稳定性公式的功效。

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