Bogie axle for a vehicle with a preferred travelling direction, and vehicle with at least one bogie axle of this type

A bogie axle for a vehicle with a preferred travelling direction (V), comprising at least one axle rocker, which comprises two hubs arranged spaced as an output for arranging a front wheel and a rear wheel, and which comprises an axle rocker mounting arranged between the hubs for pivotable mounting of the axle rocker on an axle carrier, wherein the axle rocker mounting comprises an input shaft as an input, which, for driving the front wheel and the rear wheel, is coupled to them via at least one transmission,

• wherein,
• a geometry of the at least one axle rocker corresponds to formula I:
• 0.05
• ≤
• e
• R
• ⁡
• (
• 1
• -
• i
• B
• ⁢
• B
• i
• )
• +
• a
• =
• F
• ⁢
• T
• F
• ⁢
• G
• ≤
• 0.4
• ,
• (
• I
• )
• in which there denote,
• e:
• eccentricity of a rotational axis (D) of the axle rocker mounting in preferred travelling direction (V) starting from a center axis (M) arranged between the hubs;
• R:
• static tire radius of the wheels to be mounted;
• i:
• transmission gear ratio of the axle rocker (14) as a ratio of an input rotational speed of the input to an output rotational speed of the output;
• a:
• superelevation of the rotational axis (D) with respect to the central points of the hubs of the axle rocker;
• FT:
• sum of the tangential wheel loads FT of the bogie axle in the mounted state during the operation of the vehicle;
• and
• FG:
• sum of radial front wheel loads FRv and radial rear wheel loads FRh of the bogie axle in the mounted state during the operation of the vehicle, and in which,
• iBB is 1 if the bogie axle does not comprise a torque divider for homogenization of a moment of force ununiformly acting on the front wheel and the rear wheel;
• or in which,
• iBB denotes a gear ratio of the torque divider if the bogie axle comprises the torque divider for homogenization of the moment of force ununiformly acting on the front wheel and the rear wheel.