The invention relates to a method and a device for milking milk residues to achieve the extraction of as much of the milk as possible that is preset in the udder. According to the method, a rubber teat element (10) in a teat cup (1) is displaced in a milking motion by a negative suction pressure caused by adjustable pulse phases consisting of alternating suction and pause phases and of a pulse intensity, in order to a volumetric flow of milk. The volumetric flow is continuously recorded and if it decreases, the motion of the rubber teat element is modified in a targeted manner.

The present invention relates to a teat cup liner for milking domestic animals such as cows and goats. The liner includes: an opening into which an animal's teat may be inserted; an outlet for discharging milk from the animal; a teat engaging portion with annular walls; and a collapsible portion having relatively thinner inner walls and seals for a teat cup shell between which lies all of the collapsible portion so a vacuum pressure may be applied to a teat cup assembly to milk the animal. The distance from the opening to a point at which the collapsible portion collapses is sufficient so that the collapsible portion collapses substantially away from the animal's teat. The collapsible portion has an elongate cross section, there being a tapering section between the teat engaging portion and the collapsible portion. The tapering portion has outer and inner walls, the thickness of which tapers more gradually along a minor cross-sectional axis than along a major cross-sectional axis, so that the tapering section may collapse gently on the teat as the collapsible portion collapses.