This paper proposes an enhanced vibration decomposition approach based on analytical mode decomposition (AMD) and multisynchrosqueezing transform (MSST). Although AMD‐based low‐pass filter has been applied for signal decomposition with time‐varying cutoff frequencies, these cutoff frequencies are usually manually selected from the wavelet scalogram of the target signal. This process therefore significantly reduces the computational efficiency and could affect the accuracy of using AMD‐based low‐pass filter for non‐stationary signal analysis. To overcome this problem, in this study, MSST with a time‐varying cutoff frequency detection algorithm is used to automatically define the time‐varying bisecting frequencies for the AMD analysis. Once the time‐varying cutoff frequencies are identified, AMD can be used to adaptively decompose the non‐stationary signal into individual components. To investigate the effectiveness of the proposed approach, termed as MSST–AMD, for vibration signal decomposition and its application, numerical studies on a non‐stationary signal with overlapped frequency components are conducted. To further apply the proposed approach for structural vibration response analysis, a three‐story shear‐type structure with varying stiffness subjected to earthquake excitations is simulated in this study for instantaneous modal parameter identification. In experimental verifications, the proposed MSST–AMD approach combined with a damage index is further extended to evaluate the damage severity of a structure under earthquake excitations. The results in both numerical simulations and experimental validations demonstrate that the proposed approach is reliable and accurate for non‐stationary signal analysis and vibration decomposition, which can be further used for instantaneous modal parameter identification and structural damage detection.

中文翻译：

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基于多同步压缩变换和解析模态分解的增强振动分解方法

本文提出了一种基于分析模式分解（AMD）和多同步压缩变换（MSST）的增强型振动分解方法。尽管基于AMD的低通滤波器已应用于具有随时间变化的截止频率的信号分解，但是这些截止频率通常是从目标信号的小波比例尺中手动选择的。因此，此过程会大大降低计算效率，并可能影响使用基于AMD的低通滤波器进行非平稳信号分析的准确性。为了克服这个问题，在这项研究中，具有时变截止频率检测算法的MSST用于自动定义AMD分析的时变二等分频率。一旦确定了随时间变化的截止频率，AMD可用于将非平稳信号自适应地分解为单个组件。为了研究所提出的方法（称为MSST–AMD）对于振动信号分解及其应用的有效性，对频率分量重叠的非平稳信号进行了数值研究。为了将拟议的方法进一步用于结构振动响应分析，在本研究中模拟了具有三层变化的刚度的结构，该结构具有受地震激励的变化的刚度，用于瞬时模态参数识别。在实验验证中，所提出的MSST-AMD方法与损伤指数的组合得到了进一步扩展，以评估地震激励下结构的损伤严重性。