Matched-field processing (MFP) is a generalized procedure of array processing used in ocean acoustics to localize sources. It is based on comparing data with solutions to the wave equation using an assortment of linear and nonlinear methods. The applicability of MFP techniques to localize sources of vibration in structures is explored through simulations, starting with the relatively simple problem of localizing a point force on a simply supported laterally vibrating beam. The Bartlett, minimum variance (as well as the eigenvector versions of these two), and a matched modal processor are used. In all cases localization was achieved. Additional complications such as spring constraints were added in order to determine whether the MFP methods can still localize sources of vibrations without full detailed modeling of additional structural complexity. An application to nondestructive testing is also presented.