An approach to operational modal analysis using the expectation maximization algorithm

Cara Cañas, Francisco Javier; Carpio Huertas, Jaime; Juan Ruiz, Jesús y Alarcón Álvarez, Enrique (2012). An approach to operational modal analysis using the expectation maximization algorithm. "Mechanical Systems and Signal Processing", v. 31 ; pp. 109-129. ISSN 0888-3270. https://doi.org/10.1016/j.ymssp.2012.04.004.

Descripción

Título: An approach to operational modal analysis using the expectation maximization algorithm
Autor/es:
  • Cara Cañas, Francisco Javier
  • Carpio Huertas, Jaime
  • Juan Ruiz, Jesús
  • Alarcón Álvarez, Enrique
Tipo de Documento: Artículo
Título de Revista/Publicación: Mechanical Systems and Signal Processing
Fecha: Agosto 2012
Volumen: 31
Materias:
Palabras Clave Informales: Structural dynamics; Operational modal analysis; System identification; Stochastic subspace identification method; Maximum likelihood estimation; Expectation Maximization algorithm
Escuela: E.T.S.I. Industriales (UPM)
Departamento: Ingeniería de Organización, Administración de Empresas y Estadística
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

This paper presents the Expectation Maximization algorithm (EM) applied to operational modal analysis of structures. The EM algorithm is a general-purpose method for maximum likelihood estimation (MLE) that in this work is used to estimate state space models. As it is well known, the MLE enjoys some optimal properties from a statistical point of view, which make it very attractive in practice. However, the EM algorithm has two main drawbacks: its slow convergence and the dependence of the solution on the initial values used. This paper proposes two different strategies to choose initial values for the EM algorithm when used for operational modal analysis: to begin with the parameters estimated by Stochastic Subspace Identification method (SSI) and to start using random points. The effectiveness of the proposed identification method has been evaluated through numerical simulation and measured vibration data in the context of a benchmark problem. Modal parameters (natural frequencies, damping ratios and mode shapes) of the benchmark structure have been estimated using SSI and the EM algorithm. On the whole, the results show that the application of the EM algorithm starting from the solution given by SSI is very useful to identify the vibration modes of a structure, discarding the spurious modes that appear in high order models and discovering other hidden modes. Similar results are obtained using random starting values, although this strategy allows us to analyze the solution of several starting points what overcome the dependence on the initial values used.

Más información

ID de Registro: 15309
Identificador DC: http://oa.upm.es/15309/
Identificador OAI: oai:oa.upm.es:15309
Identificador DOI: 10.1016/j.ymssp.2012.04.004
URL Oficial: http://www.sciencedirect.com/science/article/pii/S0888327012001306
Depositado por: Biblioteca ETSI Industriales
Depositado el: 14 May 2013 10:14
Ultima Modificación: 21 Abr 2016 15:22
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