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首页> 外文期刊>Bulletin of Earthquake Engineering >Analysis of non-stationary structural systems by using a band-variable filter
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Analysis of non-stationary structural systems by using a band-variable filter

机译:使用带变量滤波器分析非平稳结构系统

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One of the main tools used to study the dynamic response of structural systems is certainly the Fourier Transform. This tool is very useful and reliable to investigating the response of a stationary system, i.e. a generic system that does not changes its characteristics over time. Conversely, the Fourier Transform is no longer reliable if the main goal is to study the evolution of the dynamic response of a system whose features rapidly vary with time. To this regard, several mathematical tools were developed to analyze time-variable dynamic responses. Soil and buildings, subject to transient forcing such as an earthquake, may change their characteristics over time with the initiation of nonlinear phenomena. This paper proposes a new methodology to approach the study of non-stationary response of soil and buildings: a band-variable filter based on S-Transform. In fact, with the possibility of changing the bandwidth of each filtering window over time, it becomes possible to extract from a generic record only the response of the system focusing on the variation of individual modes of vibration. Practically, it is possible to extract from a generic non-stationary signal only the phase of interest. The paper starts from examples and applications on synthetic signals, then examines possible applications to the study of the non-stationary response of soil and buildings. The last application focuses on the possibility to evaluate the mode shapes over time for both numerical and scaled model subjected to strong motion inputs.
机译:用于研究结构系统动力响应的主要工具之一当然是傅里叶变换。该工具对于调查固定系统的响应非常有用且可靠,该固定系统即不随时间变化其特性的通用系统。相反,如果主要目标是研究特征随时间快速变化的系统动态响应的演变,则傅立叶变换将不再可靠。为此,开发了几种数学工具来分析时变动态响应。受到地震等瞬态强迫作用的土壤和建筑物可能会随着非线性现象的发生而随时间改变其特性。本文提出了一种新的方法来研究土壤和建筑物的非平稳响应:基于S变换的带变量滤波器。实际上,随着时间的推移可能会改变每个过滤窗口的带宽,因此有可能从通用记录中仅提取系统的响应(着重于各个振动模式的变化)。实际上,可以从一般的非平稳信号中仅提取感兴趣的相位。本文从合成信号的示例和应用开始,然后研究了在土壤和建筑物的非平稳响应研究中可能的应用。最后一个应用程序着重于评估在强运动输入下数值模型和比例模型随时间变化的模态形状的可能性。

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