A stochastic model updating method for parameter variability quantification based on response surface models and Monte Carlo simulation

Fang, Sheng-En and Ren, Wei-Xin and Perera Velamazán, Ricardo (2012). A stochastic model updating method for parameter variability quantification based on response surface models and Monte Carlo simulation. "Mechanical Systems and Signal Processing", v. 33 ; pp. 83-96. ISSN 0888-3270. https://doi.org/10.1016/j.ymssp.2012.06.028.

Description

Title: A stochastic model updating method for parameter variability quantification based on response surface models and Monte Carlo simulation
Author/s:
  • Fang, Sheng-En
  • Ren, Wei-Xin
  • Perera Velamazán, Ricardo
Item Type: Article
Título de Revista/Publicación: Mechanical Systems and Signal Processing
Date: November 2012
ISSN: 0888-3270
Volume: 33
Subjects:
Freetext Keywords: Stochastic model updating; Parameter variability; Analysis of variance; Response surface models; Monte Carlo simulation
Faculty: E.T.S.I. Industriales (UPM)
Department: Mecánica Estructural y Construcciones Industriales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Stochastic model updating must be considered for quantifying uncertainties inherently existing in real-world engineering structures. By this means the statistical properties,instead of deterministic values, of structural parameters can be sought indicating the parameter variability. However, the implementation of stochastic model updating is much more complicated than that of deterministic methods particularly in the aspects of theoretical complexity and low computational efficiency. This study attempts to propose a simple and cost-efficient method by decomposing a stochastic updating process into a series of deterministic ones with the aid of response surface models and Monte Carlo simulation. The response surface models are used as surrogates for original FE models in the interest of programming simplification, fast response computation and easy inverse optimization. Monte Carlo simulation is adopted for generating samples from the assumed or measured probability distributions of responses. Each sample corresponds to an individual deterministic inverse process predicting the deterministic values of parameters. Then the parameter means and variances can be statistically estimated based on all the parameter predictions by running all the samples. Meanwhile, the analysis of variance approach is employed for the evaluation of parameter variability significance. The proposed method has been demonstrated firstly on a numerical beam and then a set of nominally identical steel plates tested in the laboratory. It is found that compared with the existing stochastic model updating methods, the proposed method presents similar accuracy while its primary merits consist in its simple implementation and cost efficiency in response computation and inverse optimization.

More information

Item ID: 22650
DC Identifier: http://oa.upm.es/22650/
OAI Identifier: oai:oa.upm.es:22650
DOI: 10.1016/j.ymssp.2012.06.028
Official URL: http://www.sciencedirect.com/science/article/pii/S0888327012002634
Deposited by: Memoria Investigacion
Deposited on: 11 Mar 2014 17:14
Last Modified: 21 Apr 2016 17:38
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