A PCA-Based Approach for Structural Dynamics Model Updating with Interval Uncertainty

2018 ◽  
Vol 32 (1) ◽  
pp. 105-119 ◽  
Author(s):  
Xueqian Chen ◽  
Zhanpeng Shen ◽  
Xin’en Liu
Keyword(s):  
Structural Dynamics ◽  
Model Updating ◽  
Interval Uncertainty ◽  
Dynamics Model

scholarly journals A Copula-Based and Monte Carlo Sampling Approach for Structural Dynamics Model Updating with Interval Uncertainty

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Xueqian Chen ◽  
Zhanpeng Shen ◽  
Xin’en Liu
Keyword(s):  
Monte Carlo ◽  
Structural Dynamics ◽  
Model Updating ◽  
Monte Carlo Sampling ◽  
Interval Uncertainty ◽  
Fe Model ◽  
Copula Model ◽  
Copula Approach ◽  
Spring System ◽  
Fe Model Updating

As the uncertainty is widely existent in the engineering structure, it is necessary to study the finite element (FE) modeling and updating in consideration of the uncertainty. A FE model updating approach in structural dynamics with interval uncertain parameters is proposed in this work. Firstly, the mathematical relationship between the updating parameters and the output interesting qualities is created based on the copula approach and the vast samples of inputs and outputs are obtained by the Monte Carlo (MC) sampling technology according to the copula model. Secondly, the samples of updating parameters are rechosen by combining the copula model and the experiment intervals of the interesting qualities. Next, 95% confidence intervals of updating parameters are calculated by the nonparameter kernel density estimation (KDE) approach, which is regarded as the intervals of updating parameters. Lastly, the proposed approach is validated in a two degree-of-freedom mass-spring system, simple plates, and the transport mirror system. The updating results evidently demonstrate the feasibility and reliability of this approach.

scholarly journals Structural Dynamics Model Updating with Positive Definiteness and No Spillover

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Yongxin Yuan
Keyword(s):  
Structural Dynamics ◽  
Numerical Optimization ◽  
Model Updating ◽  
Positive Definiteness ◽  
Measured Data ◽  
Original Model ◽  
Computationally Efficient ◽  
Dynamics Model ◽  
Stiffness Matrices ◽  
Dynamics Models

Model updating is a common method to improve the correlation between structural dynamics models and measured data. In conducting the updating, it is desirable to match only the measured spectral data without tampering with the other unmeasured and unknown eigeninformation in the original model (if so, the model is said to be updated with no spillover) and to maintain the positive definiteness of the coefficient matrices. In this paper, an efficient numerical method for updating mass and stiffness matrices simultaneously is presented. The method first updates the modal frequencies. Then, a method is presented to construct a transformation matrix and this matrix is used to correct the analytical eigenvectors so that the updated model is compatible with the measurement of the eigenvectors. The method can preserve both no spillover and the symmetric positive definiteness of the mass and stiffness matrices. The method is computationally efficient as neither iteration nor numerical optimization is required. The numerical example shows that the presented method is quite accurate and efficient.

A new method for finite element model updating in structural dynamics

2010 ◽  
Vol 24 (7) ◽  
pp. 2137-2159 ◽  
Author(s):  
J.L. Zapico-Valle ◽  
R. Alonso-Camblor ◽  
M.P. González-Martínez ◽  
M. García-Diéguez
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Structural Dynamics ◽  
Model Updating ◽  
Element Model ◽  
New Method ◽  
Finite Element Model Updating

Validating and Updating Finite Element Models Using Experimental Measurements of Dynamics

1990 ◽  
Vol 204 (1) ◽  
pp. 45-50
Author(s):  
C F McCulloch ◽  
P Vanhonacker ◽  
E Dascotte
Keyword(s):  
Finite Element ◽  
Structural Dynamics ◽  
Model Updating ◽  
Measured Data ◽  
Physical Parameters ◽  
Experimental Measurements ◽  
Finite Element Models ◽  
Data Sets ◽  
Modal Data ◽  
Modelling Assumptions

A method is proposed for updating finite element models of structural dynamics using the results of experimental modal analysis, based on the sensitivities to changes in physical parameters. The method avoids many of the problems of incompatibility and inconsistency between the experimental and analytical modal data sets and enables the user to express confidence in measured data and modelling assumptions, allowing flexible but automated model updating.

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