Sensor requirements for in situ imaging of multiple damage by Lamb waves

Abstract

Lamb waves are guided waves that propagate in plate-like structures. These waves are well suited for wide-area inspection, such as aircraft wing skins, because of their relatively slow geometrical decay with propagation distance. Recently, a computationally efficient algorithm for in situ imaging was derived based on the multi-static data matrix. Here, previous work on imaging a single circular inhomogeneity is extended to the case of structural damage spread over two distinct sites. Detailed results are presented for the rank and bandwidth of the data matrix, showing the dependence on the overall size of the damage cluster. The implications of these results for the practically important problem of determining minimum sensor requirements for image reconstruction are discussed. References

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