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Guided Wavefield Reconstruction from Sparse Measurements Using Compressed Sensing

O. MESNIL, H. YAN, M. RUZZENE, K. PAYNABAR, J. SHI

Abstract


Wavefields obtained from the measurement of Lamb waves propagating through a solid media by a Laser Doppler Vibrometer (LDV) are very rich in qualitative and quantitative information about structural defects. In this research, Compressed Sens-ing (CS) is used to significantly reduce the number of point measurements necessary to the application of SHM techniques. The process extrapolates the information con-tained in M measurements to reconstruct a wavefield on a grid of P pixels with the condition M < P, using a basis of functions created from the dispersion relations of the media and the propagation laws of lamb waves. Reconstructions of experimental and analytical uni-dimensional wavefields are detailed to validate the concept. The development of this process is a first step towards fast large scale defect detection techniques by LDV in SHM.

doi: 10.12783/SHM2015/232


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