A vibration appliance includes a vibration-isolation structure which substantially reduces vibration felt by the user at the handle. The vibration motor is mounted to a vibration plate which carries the massage node. The vibration plate floats within the vibration appliance housing, being suspended by a flexible, elastomer membrane having contours such as curves or folds in it that provide freedom of movement of the vibration plate relative to the housing to which the flexible membrane is mounted. This arrangement can be thought of as the motor and vibration node being mounted on a flexible diaphragm that can move freely as if mounted to the housing by a bellows-like arrangement.