22 July 2003 Flexibility approach for damage localization suitable for multiscale sensor fusion
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Abstract
Fiber optic sensors have the capability to simultaneously measure multi-scale data (e.g. strain, strain gradients, and integrated strains) for the purpose of structural health monitoring of structures. Presented here is a technique that can detect and localize damage in a structure suitable for the fusion of such multi-scale data. The flexibility method has been previously proposed for damage localization using changes in natural frequencies and mode shapes. However, such changes are difficult to apply in a real world application due to the extreme accuracy required for the input excitation frequencies. In addition, computer modeling of the undamaged structure to compare with the damaged structure can lead to significant errors due to imperfections. The flexibility method for solving indeterminate structures using static conditions presented here avoids these difficulties. The method follows a procedure of applying a known load to determine the flexibility matrices of the structure in pre- and post- damaged states. The introduction of fiber optic strain and displacement measurements permits the calculation of these matrices from the static loading conditions. These matrices are subtracted and the resulting null space calculated. When reapplied to the original system this null space locates the damage. To demonstrate the validity of this process numerical models are created for a simple truss structure and a plate instrumented with several fiber optic sensors. The examples show that damage can be located in both cases.
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Michael Camerino, Michael Camerino, Kara J. Peters, Kara J. Peters, "Flexibility approach for damage localization suitable for multiscale sensor fusion", Proc. SPIE 5050, Smart Structures and Materials 2003: Smart Sensor Technology and Measurement Systems, (22 July 2003); doi: 10.1117/12.484235; https://doi.org/10.1117/12.484235
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