Solving the inverse problem of identification of FE model parameters of a non-uniform beam using genetic algorithms

Authors

1 MSc, Mech. Eng., Iran University of Science and Technology, Tehran, Iran

2 Ph.D. Student, Mech. Eng., Iran University of Science and Technology, Tehran, Iran

3 Assoc. Prof., Mech. Eng.,Iran University of Science and Technology, Tehran, Iran

Abstract

In an inverse problem, it is desired to construct the model of a system, using the observable characteristics of the system under consideration, so that it can predict the behavior of the system as accurately as possible. In this study, a non-uniform beam is assumed as the structure whose FE model is desired to be updated. The first three natural frequencies and mode shapes of the non-uniform beam are derived analytically and are assumed as the pseudo experimentally-obtained dynamic characteristics of the structure. Then, the mentioned dynamic characteristics are used to solve the inverse problem of identification of finite element model parameters of the non-uniform beam using genetic algorithms. Investigating the effect of the number of cross-sections of the finite element model of a non-uniform beam on the accuracy of the results, it is observed that the more cross-sections the finite element model has, the more capable it is in predicting the dynamic behavior of a non-uniform beam.

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References

 
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Journal of Solid and Fluid Mechanics
Volume 5, Issue 1 - Serial Number 1
March and April 2015
Pages 39-48

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