IUTAM Symposium on Evolutionary Methods in Mechanics
Volume 117 of the series Solid Mechanics and Its Applications pp 131141
Genetic Algorithm for Damage Assessment
 V. T. JohnsonAffiliated withInfosys Technologies Limited
 , S. Anantha Ramu (Late)Affiliated withDepartment of Civil Engineering, Indian Institute of Science
 , B. K. Raghu PrasadAffiliated withDepartment of Civil Engineering, Indian Institute of Science
Abstract
Genetic Algorithms (GAs) are recognized as an alternative class of computational model, which mimic natural evolution to solve problems in a wide domain including machine learning, music generation, genetic synthesis etc. In the present study Genetic Algorithm has been employed to obtain damage assessment of composite structural elements. It is considered that a state of damage can be modeled as reduction in stiffness. The task is to determine the magnitude and location of damage. In a composite plate that is discretized into a set of finite elements, if a j^{th} element is damaged, the GA based technique will predict the reduction in E_{x} and E_{y} and the location j. The fact that the natural frequency decreases with decrease in stiffness is made use of in the method. The natural frequency of any two modes of the damaged plates for the assumed damage parameters is facilitated by the use of Eigen sensitivity analysis. The Eigen value sensitivities are the derivatives of the Eigen values with respect to certain design parameters. If ω_{iu} is the natural frequency of the i^{th} mode of the undamaged plate and ω_{id} is that of the damaged plate, with δω_{i} as the difference between the two, while δω_{k} is a similar difference in the k^{th} mode, R is defined as the ratio of the two. For a random selection of E_{x},E_{y} and j, a ratio R_{i} is obtained. A proper combination of E_{x},E_{y} and j which makes R_{i}−R=0 is obtained by Genetic Algorithm.
Keywords
genetic algorithm damage assessment NDE of composites vibration technique Title
 Genetic Algorithm for Damage Assessment
 Book Title
 IUTAM Symposium on Evolutionary Methods in Mechanics
 Book Subtitle
 Proceedings of the IUTAM Symposium held in Cracow, Poland, 24–27 September, 2002
 Pages
 pp 131141
 Copyright
 2004
 DOI
 10.1007/1402022670_13
 Print ISBN
 9781402022661
 Online ISBN
 9781402022678
 Series Title
 Solid Mechanics and Its Applications
 Series Volume
 117
 Series ISSN
 09250042
 Publisher
 Springer Netherlands
 Copyright Holder
 Springer Science + Business Media, Inc.
 Additional Links
 Topics
 Keywords

 genetic algorithm
 damage assessment
 NDE of composites
 vibration technique
 Industry Sectors
 Editors

 Tadeusz Burczyński ^{(2)} ^{(3)}
 Andrzej Osyczka ^{(4)}
 Editor Affiliations

 2. Department for Strength of Materials, Silesian University of Technology
 3. Institute of Computer Modelling, Cracow University of Technology
 4. Department of Applied Computer Science, Faculty of Management, AGH University of Science and Technology
 Authors

 V. T. Johnson ^{(5)}
 S. Anantha Ramu (Late) ^{(6)}
 B. K. Raghu Prasad ^{(6)}
 Author Affiliations

 5. Infosys Technologies Limited, Bangalore
 6. Department of Civil Engineering, Indian Institute of Science, Bangalore
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