A method of operating a linear friction welding apparatus includes supporting a first work piece with a first fixture, supporting a second work piece with a second fixture, establishing a load between the first work piece and the second work piece along a press axis with a press assembly while the first fixture and the second fixture are in a fixed position relative to one another, simultaneously moving, with a vibrating assembly spaced apart from the press axis, the first fixture and the second fixture along a single weld axis so that both the first work piece and the second work piece are moved with respect to one another along the single weld axis after establishing the load, and heating at least a portion of the first work piece while simultaneously moving the first fixture and the second fixture under the load.