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Singular Spectrum Analysis for Modal Estimation from Stationary Response Only.

Chang-Sheng Lin1, Yi-Xiu Wu1

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Summary
This summary is machine-generated.

This study introduces a novel output-only modal estimation method using singular spectrum analysis. It effectively separates system characteristics from excitation and noise for accurate modal parameter identification.

Keywords:
Hankel matrixmodal estimationsingular spectrum analysisstate space

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Area of Science:

  • Mechanical Engineering
  • Vibrational Analysis
  • Signal Processing

Background:

  • Experimental modal analysis typically requires excitation and response data to determine frequency response functions.
  • Measuring excitation signals can be challenging for many engineering structures, necessitating output-only modal estimation techniques.

Purpose of the Study:

  • To develop an effective output-only modal estimation method for engineering structures.
  • To address the limitations of conventional modal analysis when excitation signals are difficult to measure.

Main Methods:

  • Singular Spectrum Analysis (SSA) to construct a Hankel matrix from response data.
  • Singular Value Decomposition (SVD) for data matrix factorization and dimensionality reduction.
  • System observability principles to decompose the Hankel matrix into system, excitation, and noise components.

Main Results:

  • Successfully estimated the minimum order for Hankel matrix reconstruction using singular spectrum.
  • Removed excitation and noise components, obtaining the system observability matrix.
  • Derived the system matrix for modal parameter estimation and eliminated fictitious modes using a stabilization diagram.

Conclusions:

  • The proposed SSA-based method provides an effective approach for output-only modal parameter estimation.
  • The technique enhances calculation efficiency and accuracy by reducing data dimensionality and filtering noise.
  • This method is valuable for modal analysis of structures where direct excitation measurement is not feasible.