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Phase space interrogation of the empirical response modes for seismically excited structures

机译：地震激励结构经验响应模式的相空间询问

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摘要

Conventional Phase Space Interrogation (PSI) for structural damage assessment relies on exciting the structure with low dimensional chaotic waveform, thereby, significantly limiting their applicability to large structures. The PSI technique is presently extended for structure subjected to seismic excitations. The high dimensionality of the phase space for seismic response(s) are overcome by the Empirical Mode Decomposition (EMD), decomposing the responses to a number of intrinsic low dimensional oscillatory modes, referred as Intrinsic Mode Functions (IMFs). Along with their low dimensionality, a few IMFs, retain sufficient information of the system dynamics to reflect the damage induced changes. The mutually conflicting nature of low-dimensionality and the sufficiency of dynamic information are taken care by the optimal choice of the IMF(s), which is shown to be the third/fourth IMFs. The optimal IMF(s) are employed for the reconstruction of the Phase space attractor following Taken's embedding theorem. The widely referred Changes in Phase Space Topology (CPST) feature is then employed on these Phase portrait(s) to derive the damage sensitive feature, referred as the CPST of the IMFs (CPST-IMF). The legitimacy of the CPST-IMF is established as a damage sensitive feature by assessing its variation with a number of damage scenarios benchmarked in the IASC-ASCE building. The damage localization capability, remarkable tolerance to noise contamination and the robustness under different seismic excitations of the feature are demonstrated.
机译：用于结构损伤评估的常规相空间询问（PSI）依赖于激发具有低维混沌波形的结构，从而极大地限制了它们在大型结构中的适用性。目前，PSI技术已扩展到受地震激发的结构。经验模态分解（EMD）克服了地震响应相空间的高维性，将经验响应分解为许多固有的低维振荡模态，称为固有模态函数（IMF）。除了它们的低维度外，一些IMF还保留了系统动力学的足够信息，以反映损坏引起的变化。低维度的相互冲突性质和动态信息的充分性是通过对IMF的最佳选择来加以考虑的，该IMF被证明是第三/第四IMF。遵循Taken嵌入定理，最优IMF用于重建相空间吸引子。然后，在这些相画像上采用广泛使用的相空间拓扑变化（CPST）功能，以导出对损伤敏感的功能，称为IMF的CPST（CPST-IMF）。 CPST-IMF的合法性通过在IASC-ASCE大楼中基准化的多种损害情景中评估其变化而确立为损害敏感性特征。演示了该特征的损伤定位能力，对噪声污染的显着耐受性以及在不同地震激励下的鲁棒性。

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