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2020 | OriginalPaper | Chapter

8. Fractal Dimension Based Damage Detection

Author : Ranjan Ganguli

Published in: Structural Health Monitoring

Publisher: Springer Singapore

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Abstract

This chapter presents a fractal dimension approach to damage detection in composite structures. This approach provides an alternative to the wavelet approach in the previous chapter and is model free. This means that the fractal approach can be used directly with measured data. We also use a static deflection profile in this chapter as a response variable. The deflection profile can be sensitive to local damage, as we shall show in this chapter. Matrix cracks are considered as a local damage and spatial variation in material properties is considered. Section 8.1 presents some background from the literature to motivate the use of fractal dimension measure in structural damage detection. Section 8.2 presents the definition of fractal dimension and an outline of the composite plate model with matrix cracks. Section 8.3 presents numerical results of composite plate static deflection and the effect of curvature, fractal dimension operator and the curvature of fractal dimension on the static deflection of a plate with a seeded local damage. Uncertainty in the material properties is introduced as a random field. Section 8.4 presents a summary of this chapter. This chapter is based on material in [1].

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previous chapter Wavelet Based Damage Detection
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Metadata
Title
Fractal Dimension Based Damage Detection
Author
Ranjan Ganguli
Copyright Year
2020
Publisher
Springer Singapore
Book
Structural Health Monitoring

Print ISBN: 978-981-15-4987-8

Electronic ISBN: 978-981-15-4988-5

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-981-15-4988-5_8

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