In connection with the inflation of pneumatic vehicle tires the risk exists that the tire explodes and that the nearby operator or other nearby persons are slung away and severely injured by the pressure wave of the exploding tire. The invention provides for a security wall between the inflation area and an adjacent area, whereby the air pressure wave of an exploding tire will be effectively broken before reaching the adjacent area. Preferably, the security wall includes a doubled stretch metal net material with mutually oppositely oriented obliqueness of the opposed mesh strip portions is arranged as a wall element on at least one side of an inflation cage for receiving a tire to be inflated inside such a cage.