Parking lock arrangement

An automotive parking lock arrangement for locking the mobility of a first element which is movably mounted in a first direction, by means of a second element which is movably mounted in a second direction transversely with respect to the first direction, wherein the first element has a toothed contour with at least two teeth and a tooth gap which lies between them, wherein the tooth gap has a tooth gap length in the first direction, wherein the second element has a single projection which has, in the first direction, a projection length which is shorter than the tooth gap length, wherein the projection can be introduced into the tooth gap when there is a movement in the second direction, in order to lock the first element, wherein the teeth each have a face which points towards the second element and has a first contour, and wherein the projection has a face which points towards the first element and has a second contour, wherein the first and second contours are matched to one another in such a way that the projection is deflected by the teeth from becoming inserted into the tooth gap if the first element moves at a speed which is higher than a predetermined locking speed and up to a maximum speed of the first element,

• wherein the rounding of at least one of the first and second contours corresponds to a mathematical function, the function being at least one of a logarithmic function and an exponential function, and
• wherein when the rounding of at least one of the first and second contours corresponds to a logarithmic function, at least one of the first and second contours corresponds to a section of the following function:
• y=K1•logarithm( x+K2),
• wherein the x direction corresponds to the first direction, and the y direction corresponds to the second direction, and wherein K1 and K2 are constants which depend essentially on geometric variables of the locking arrangement, including one or more of a tooth gap length, a projection length, a play between tooth sides, and an average approach angle.