Uncertainty quantification and global sensitivity analysis of longitudinal wave propagation in circular bars. Application to SHPB device

For an identical relative uncertainty on the parameters of 0.1%, the maximum uncertainty on the propagated pulse is 3% of the pulse amplitude. Therefore, even with carefully measured parameters, the UQ on the dispersion correction procedure for SHPB tests cannot be neglected. The SA gives the order of decreasing importance of the parameters: c0, r0; x and ν. This can be helpful if one wants to reduce the uncertainty as it indicates on which parameter(s) the measurement accuracy must be improved in priority.