We have calculated the frequencies and local mode densities for phonons in (001) Mo/W/Mo and W/Mo/W sandwiches by means of the surface Green function matching method. A force constant model including two-body and three-body interactions up to third neighbours, which gives a reasonably accurate description of the bulk dispersion relations, has been employed. The influence of the thickness of the sandwich material on the frequencies and localization of the phonons is studied.