Abstract: Mourning apparatus for retaining and isolating a machine subject to vibratory forces. A base plate having a series of raised bosses on its top surface is equipped with rubber grommets that are received upon each boss. Each grommet has an expanded foot and an elongated body that is insertable into the mounting hole of a machine support bracket. A weakened section is provided in the top part of each body that expands radially when the body is compressed to provide an upper flange for capturing the support bracket between the foot piece and the upper flange. Each grommet is compressed by passing a bolt axially through the grommet and through the bolt into the boss.