journal article·2021-01-15Open access

Operational Modal Analysis for Vibration Control Following Moving Window Locality Preserving Projections for Linear Slow-Time-Varying Structures

Weihua Fu, Cheng Wang, Jianwei Chen

Applied Sciences· Volume 11· Issue 2

Abstract

Modal parameters can reflect the dynamic characteristics of the structure and can be used to control vibration. To identify the operational modal parameters of linear slow-time-varying structures only from non-stationary vibration response signals, a method based on moving window locality preserving projections (MWLPP) algorithm is proposed. Based on the theory of “time freeze”, the method selects a fixed length window and takes the displacement response signal in each window as a stationary random sequence. The locality preserving projections algorithm is used to identify the transient modal frequency and modal shape of the structure at this window. The low-dimensional embedding of the displacement response data set calculated by locality preserving projections (LPP) corresponds to the modal coordinate response matrix, and the transformation matrix corresponds to the modal shape matrix. The simulation results of the mass slow-time-varying three degree of freedom (DOF) and the density slow-time-varying cantilever beam show that the new method can effectively identify the modal shape and modal natural frequency of the linear slow-time-varying only from the non-stationary vibration response signal, and the performance is better than the moving window principal component analysis (MWPCA).
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Research context

OpenAlex topics: Structural Health Monitoring Techniques · Optical measurement and interference techniques · Advanced Measurement and Detection Methods

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

College of Computer Science and Technology, Huaqiao University, Xiamen 361021, China

Xiamen Engineering Research Centre of Enterprise Interoperability and Business Intelligence, Xiamen 361021, China

Department of Mathematics and Statistics, San Diego State University, San Diego, CA 92182, USA

Funding

National Natural Science Foundation of China · China Postdoctoral Science Foundation · project of Quanzhou science and technology plan

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