TY - JOUR
T1 - An improved optimal elemental method for updating finite element models
AU - Duan, Zhongdong
AU - Spencer, B. F.
AU - Yan, Guirong
AU - Ou, Jinping
N1 - Funding Information:
Correspondence to: Duan Zhongdong, School of Civil Engineering, Harbin Institute of Technology, Harbin 150090,China Fax: (86+451)8628-2096 E-mail: [email protected] ~Professor; ;Graduate student Supported by: The China Hi-Tech R&D Program (863 Program) (Project Number 2001 AA602023) Received date: 2004-02-09; Accepted date: 2004-05-28 elemental method (OEM) enforces the connectivity of updated model by preventing the error-free parts from updating. The sensitivity-based method (SBM) makes use of the derivatives of measured parameters, typically eigenmodes, to a set of physical parameters to calculate the changes in them. However, it can only be used to update models with small discrepancies to test models. While the eigenstructure assignment method for model updating is similar to the poles assignment method in structural control, it uses a fictitious controller to force the analytical model to respond like a test model. The control gains are used to calculate the perturbation to the analytical model. Loss of physical meaning of the updated model is the major limitation of this method. There are other methods that update the frequency response function directly (Friswell and Mottershead, 1995). An excellent survey on finite model updating methods was made by Mottershead and Friswetl (1993).
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2004/6
Y1 - 2004/6
N2 - The optimal matrix method and optimal elemental method used to update finite element models may not provide accurate results. This situation occurs when the test modal model is incomplete, as is often the case in practice. An improved optimal elemental method is presented that defines a new objective function, and as a byproduct, circumvents the need for mass normalized modal shapes, which are also not readily available in practice. To solve the group of nonlinear equations created by the improved optimal method, the Lagrange multiplier method and Matlab function fmincon are employed. To deal with actual complex structures, the float-encoding genetic algorithm (FGA) is introduced to enhance the capability of the improved method. Two examples, a 7-degree of freedom (DOF) mass-spring system and a 53-DOF planar frame, respectively, are updated using the improved method. The example results demonstrate the advantages of the improved method over existing optimal methods, and show that the genetic algorithm is an effective way to update the models used for actual complex structures.
AB - The optimal matrix method and optimal elemental method used to update finite element models may not provide accurate results. This situation occurs when the test modal model is incomplete, as is often the case in practice. An improved optimal elemental method is presented that defines a new objective function, and as a byproduct, circumvents the need for mass normalized modal shapes, which are also not readily available in practice. To solve the group of nonlinear equations created by the improved optimal method, the Lagrange multiplier method and Matlab function fmincon are employed. To deal with actual complex structures, the float-encoding genetic algorithm (FGA) is introduced to enhance the capability of the improved method. Two examples, a 7-degree of freedom (DOF) mass-spring system and a 53-DOF planar frame, respectively, are updated using the improved method. The example results demonstrate the advantages of the improved method over existing optimal methods, and show that the genetic algorithm is an effective way to update the models used for actual complex structures.
KW - Genetic algorithm
KW - Lagrange multiplier method
KW - Model updating
KW - Optimal elemental method
UR - http://www.scopus.com/inward/record.url?scp=4544368784&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4544368784&partnerID=8YFLogxK
U2 - 10.1007/bf02668852
DO - 10.1007/bf02668852
M3 - Article
AN - SCOPUS:4544368784
SN - 1671-3664
VL - 3
SP - 67
EP - 74
JO - Earthquake Engineering and Engineering Vibration
JF - Earthquake Engineering and Engineering Vibration
IS - 1
ER -