Abstract: Methods and apparatus for applying elastic material in a curvilinear pattern on a continuously moving substrate. The method moves a substrate along a substrate path, supplies the elastic material to an oscillation unit first roll mounted for pivoting and rolling engagement with a transfer roll, the pivoting being about a pivot axis parallel to the substrate path, oscillates the oscillation unit first roll such that the first roll pivot axis oscillates in a plane generally traverse to the substrate path, applies the elastic material from the first roll to the transfer roll in the desired curvilinear path configuration, then applies the elastic material from the transfer roll to the substrate and bonds the elastic material to the substrate. Optionally the first roll may apply the elastic material directly to the substrate.