The health monitoring of soft-story is vital during earthquakes. Inter-story drift can reflect the structural damage state and provide evidence for assessment. However, installing numerous accelerometers in buildings is labor and cost intensive. This study proposes an innovative transformation function to estimate the inter-story drift of soft-story of shear structures using only a single accelerometer, hence simplifying the sensing system and hampering time-consuming and tedious procedures. In the current research, linear shear structures are considered, laying the foundation for more complex situations. First, the substructure method is used to analyze the soft-story. Next, the boundary forces are transformed to structural responses in the frequency domain. By proposing the concept of a transformation function, the relationship between the inter-story displacement and absolute acceleration is established. Further, a robust scheme to identify the transformation function is presented using auto- and cross-spectrum. Subsequently, a numerical simulation is implemented to verify the proposed method for different types of excitations, locations of the weak-story, sampling time lengths and sampling rates, and noise levels. Finally, a laboratory experiment is conducted to validate the proposed algorithm in a real environment. Simulation and test results indicate that the transformation function and inter-story drift of the soft-story can be identified easily and accurately once the sampling time exceeds the duration of structural vibration. The sampling rate requirement is prone to be satisfied for a common accelerometer. This method is effective regardless of the location of the soft-story and type of load, and demonstrates robust performance against environmental noise. Moreover, the proposed method does not require global parameters of the structures, and only requires the characteristics of a soft-story.

中文翻译：

---

基于单加速度计的具有创新变换功能的剪力结构软层层间位移重建


地震期间软体的健康监测至关重要。层间位移可以反映结构损伤状态，为评估提供依据。然而，在建筑物中安装大量加速度计需要大量劳动力和成本。本研究提出了一种创新的变换函数，仅使用单个加速度计即可估计剪力结构软层的层间漂移，从而简化了传感系统并减少了耗时且繁琐的程序。在当前的研究中，考虑了线性剪切结构，为更复杂的情况奠定了基础。首先，采用子结构法对软故事进行分析。接下来，边界力转换为频域中的结构响应。通过提出变换函数的概念，建立了层间位移与绝对加速度之间的关系。此外，使用自谱和互谱提出了识别变换函数的鲁棒方案。随后，进行了数值模拟，以针对不同类型的激励、弱层位置、采样时间长度和采样率以及噪声水平验证所提出的方法。最后，进行实验室实验以在真实环境中验证所提出的算法。仿真和试验结果表明，一旦采样时间超过结构振动持续时间，就可以轻松准确地识别软层的变换函数和层间位移。普通加速度计很容易满足采样率要求。无论软层的位置和负载类型如何，该方法都是有效的，并且表现出针对环境噪声的强大性能。 此外，所提出的方法不需要结构的全局参数，只需要软层的特征。