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Strong-motion duration and response scaling of yielding and degrading eccentric structures

机译：屈服和降解偏心结构的强运动持续时间和响应缩放

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Plan irregular structures, whose complex response represents a generalisation of the simpler de-coupled motion ascribed to symmetric buildings, make up a large proportion of the failures during major earthquakes. This paper examines the seismic response scaling of degrading and no-degrading eccentric structures subjected to bidirectional earthquake action and its relationship with the duration of the ground motion by means of dimensional and orientational analyses. Structures with reflectionally symmetric stiffness distribution and mass eccentricity subjected to orthogonal pairs of ideal pulses are considered as the fundamental case. The application of Vaschy-Buckingham's pi-theorem reduces the number of variables governing the peak orthogonal displacements leading to the emergence of remarkable order in the structural response. If orientationally consistent dimensionless parameters are selected, the response becomes self-similar. By contrast, when degradation is introduced, peak inelastic displacements are dramatically affected and the self-similarity in the response is lost immediately after the onset of inelastic deformations. Conversely, if the uniform duration, instead of the period, of the strong motion is adopted as a timescale, a practically self-similar response is observed. This offers unequivocal proof of the fundamental role played by the ground-motion duration in defining the peak displacement response of degrading structures even at small inelastic demands, although its importance increases with increasing deformation levels. Finally, the existence of complete similarities, or similarities of the first kind, are explored and the practical implications of these findings are briefly outlined in the context of real pulse-like ground motions with varying degrees of coherency.
机译：计划不规则结构，其复杂响应表示归因于对称建筑物的更简单的解耦运动的概括，在主要地震期间占大部分故障。本文研究了经受双向地震作用的降解和无降低偏心结构的地震反应缩放及其通过尺寸分析与地面运动持续时间的关系。具有反射对称刚度分布的结构和经受正交的理想脉冲的正交对的质量偏心被认为是基本情况。 Vaschy-Buckingham的PI-定理的应用降低了控制峰正交位移的变量数，导致结构响应中出现显着订单的出现。如果选择了定向一致的无量纲参数，则响应变为自相似。相比之下，在引入劣化时，峰值非弹性位移在无弹性变形发生后立即损失响应的自相似性。相反，如果采用强运动的均匀持续时间而不是时期，则采用少量运动，则观察到实际自相似的响应。这提供了诸如跨越结构的峰值位移响应的地面运动持续时间在小型非弹性需求下的峰位响应时提供了明确的证据，尽管其重要性随着变形水平的增加而增加。最后，探索了第一类的完整相似性或相似性的存在，并且在具有不同程度的相干性的真实脉冲状地运动的背景下简要概述了这些发现的实际意义。

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