Damage identification by response surface based model updating using D-optimal design

2011 ◽  
Vol 25 (2) ◽  
pp. 717-733 ◽  
Author(s):  
Sheng-En Fang ◽  
Ricardo Perera
Keyword(s):  
Optimal Design ◽  
Response Surface ◽  
Damage Identification ◽  
Model Updating

Response Surface Method for Updating Dynamic Finite Element Models

Volume 2 ◽  
2004 ◽  
Author(s):  
Kun-Nan Chen ◽  
Cheng-Tien Chang
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Response Surface ◽  
Damage Identification ◽  
Model Updating ◽  
Response Prediction ◽  
Element Model ◽  
General Purpose ◽  
Frame Structure ◽  
Fe Model

A finite element model of a structure can be updated as certain criteria based on experimental data are satisfied. The updated FE model is considered a better model for future studies in dynamic response prediction, structural modification, and damage identification. A finite element model updating technique incorporating the concept of response surface approximation (RSA) requires no sensitivity calculations and is much easier to implement with a general-purpose finite element code. The proposed updating method was incorporated with MSC. Nastran to solve the updating problem for an H-shaped frame structure. The updated results show that the predicted and experimental modes are correlated well with high MAC values and with a maximum frequency difference of 1.5%. Moreover, the updated parameters provide a physical insight to the modeling of bolted and welded joints of the H-frame structure.

Damage Identification Using Response Surface Methodology

2009 ◽  
Vol 413-414 ◽  
pp. 669-676 ◽  
Author(s):  
Sheng En Fang ◽  
Ricardo Perera
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Structural Damage ◽  
Damage Identification ◽  
Model Updating ◽  
Response Prediction ◽  
Surface Modeling ◽  
Primary Response ◽  
Response Surface Modeling ◽  
Reinforced Concrete Frame

As a combination of statistical and mathematical techniques, response surface methodology gives explicit functions to express the relationship between the inputs and outputs of a physical system. This methodology has been widely applied to design optimization, response prediction and model validation but so far little literature related to its application in structural damage identification has been found. Therefore this paper presents a systematic damage identification procedure consisting of four steps of feature selection, parameter screening, primary response surface modeling and updating, reference-state response surface modeling with damage identification realization. 2k factorial design and central composite design are adopted to construct response surface models for parameter screening and model updating purposes, respectively. The proposed method is verified against an experimental reinforced concrete frame and it is found that the proposed method works well in damage prediction.

A Metamodel Based Damage Identification Method

2010 ◽  
Vol 163-167 ◽  
pp. 2704-2708 ◽  
Author(s):  
Sheng En Fang ◽  
Ricardo Perera
Keyword(s):  
Response Surface ◽  
Damage Identification ◽  
Model Updating ◽  
Response Surface Models ◽  
Box Models ◽  
Surface Models ◽  
Mathematical Equations ◽  
Input Response ◽  
Response Modeling ◽  
Black Box Models

A metamodel can be represented by the forms of mathematical equations (response surface models) or neural networks (black-box models) in the interest of correlating the inputs (parameters) with the outputs (responses) of a physical system. In view of little relevant research, this paper attempts to use response surface models as surrogates for FE models due to the provision of explicit equations and easy implementation in the aspect of modeling updating. Metamodeling is achieved by using the design of experiment involving the 2k factorial design and the central composite design for parameter screening and structural input-response modeling respectively. The feasibility of the proposed method has been demonstrated using a numerical beam example which proves the satisfactory performance of employing such metamodels in model updating based damage identification.

Structural Damage Assessment Using Output-Only Measurement: Localization and Quantification

2013 ◽  
Author(s):  
Chin-Hsiung Loh ◽  
Min-Hsuan Tseng ◽  
Shu-Hsien Chao
Keyword(s):  
Damage Detection ◽  
Damage Assessment ◽  
Structural Damage ◽  
Damage Identification ◽  
Model Updating ◽  
Null Space ◽  
Singular Spectrum Analysis ◽  
Damage Index ◽  
Computation Efficiency ◽  
Output Only

One of the important issues to conduct the damage detection of a structure using vibration-based damage detection (VBDD) is not only to detect the damage but also to locate and quantify the damage. In this paper a systematic way of damage assessment, including identification of damage location and damage quantification, is proposed by using output-only measurement. Four level of damage identification algorithms are proposed. First, to identify the damage occurrence, null-space and subspace damage index are used. The eigenvalue difference ratio is also discussed for detecting the damage. Second, to locate the damage, the change of mode shape slope ratio and the prediction error from response using singular spectrum analysis are used. Finally, to quantify the damage the RSSI-COV algorithm is used to identify the change of dynamic characteristics together with the model updating technique, the loss of stiffness can be identified. Experimental data collected from the bridge foundation scouring in hydraulic lab was used to demonstrate the applicability of the proposed methods. The computation efficiency of each method is also discussed so as to accommodate the online damage detection.

Experimental Studies Using Response Surface Methodology for Condition Monitoring of Ball Bearings

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
M. S. Patil ◽  
Jose Mathew ◽  
P. K. Rajendrakumar ◽  
Sumit Karade
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Interaction Effect ◽  
Damage Identification ◽  
Experimental Studies ◽  
Design Procedure ◽  
Defect Size ◽  
Ball Bearings ◽  
Box Behnken Design ◽  
Outer Race

The presence of defect in the bearing (outer race, inner race, or ball) results in increased vibrations. Time domain indices such as rms, crest factor, and kurtosis are some of the important parameters used to monitor the condition of the bearing. Radial load and operating speed also have an important role in bearing vibrations. The interaction between the defect size, load, and speed helps to study their effect on vibrations more effectively. Response surface methodology (RSM) is a combination of statistical and mathematical techniques to represent the relationship between the inputs and the outputs of a physical system. But so far, the literature related to its application in bearing damage identification is scarce. The proposed study uses RSM to study the influence of defect size, load, and speed on the bearing vibrations. Kurtosis is used as response factor. Experiments are planned using Box Behnken design procedure. Experiments are performed using 6305 ball bearings and the results have been presented. MINITAB statistical software is used for analysis. It is seen from the analysis of the experimental results that the defect size, interaction effect of defect size and load, and interaction effect of defect size and speed are significant. Response surface method using Box Behnken design and analysis of variance has proved to be a successful technique to assess the significant factors related to bearing vibrations.

Sign in / Sign up

Export Citation Format

Share Document