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.
Z. Duan et al., "An Improved Optimal Elemental Method for Updating Finite Element Models," Earthquake Engineering and Engineering Vibration, vol. 3, no. 1, pp. 67 - 74, Springer, Jan 2004.
The definitive version is available at https://doi.org/10.1007/bf02668852
Civil, Architectural and Environmental Engineering
Keywords and Phrases
Genetic algorithm; Lagrange multiplier method; Model updating; Optimal elemental method
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2004