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Doctoral Thesis
DOI
10.11606/T.3.2008.tde-14052009-150010
Document
Author
Full name
Luiz Antonio Barbosa Coelho
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2008
Supervisor
Committee
Baccalá, Luiz Antonio (President)
Almeida, Pedro Afonso de Oliveira
Cipparrone, Flávio Almeida de Magalhães
Hotta, Luiz Koodi
Laier, José Elias
Title in Portuguese
Uso de aproximantes de Padé na estimação de parâmetros modais em estruturas de grande porte.
Keywords in Portuguese
Análise espectral
Análise modal
Aproximantes de Padé
Estruturas de grande porte
Identificação de sistemas
Abstract in Portuguese
Este trabalho apresenta um novo algoritmo para a estimação de frequências e amortecimentos de vibrações, baseado em aproximantes de Padé, a partir da análise de sinais temporais oriundos de estruturas de grande porte. O algoritmo se baseia nas propriedades de convergência dos aproximantes de Padé, que garantem a existência de pólos que representam corretamente as componentes senoidais do sinal, e numa peculiar distribuição de pólos e zeros espúrios que decorrem da sobre-determinação do aproximante. O comportamento estatístico do algoritmo é estudado através de experimentos numéricos e sua aplicação em um caso real é feita.
Title in English
Use of Padé approximants for modal parameters estimation on large scale structures.
Keywords in English
Modal identification
Padé approximants
Spectral estimation
Vibration on large structures
Abstract in English
This work introduces a novel estimation technique for vibration frequency and damping estimation, based on Padé approximants, and using time series taken from large structures. The algorithm is based on convergence properties of Padé approximants that assures the existence of real poles representing the sinusoidal components of the signal, and a remarkable distribution of stray poles and zeros, resulting from the approximant overdetermination. Its statistical behavior is analyzed through numerical experiments and an application for a real structure is provided as example.
 
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Tese.pdf (1.84 Mbytes)
Publishing Date
2009-07-07
 
WARNING: The material described below relates to works resulting from this thesis or dissertation. The contents of these works are the author's responsibility.
  • COELHO, Luiz A B, and Baccalá, Luiz A. Pade Approximants as a Modal Identification Technique. In IMAC-XXVII, Orlando, Florida, 2009. Conference Proceedings.Bethel, CT : Society for Experimental Mechanics, 2009.
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