parts that correspond to each other or that basically have the same function are marked with the same reference symbols in all of the figures . a bearing arrangement marked overall with the reference symbol 1 comprises a backup bearing 2 , of which , in fig1 , an outer ring 3 , a rolling body 9 , namely a ball , and an inner ring 10 are visible . the balls 9 roll without a cage between the bearing rings 3 , 10 . the inner ring 10 is spaced slightly away from a shaft 11 that is supported during proper operation of the bearing arrangement 1 by a not - shown main bearing , in particular , magnetic bearing . the backup bearing 2 comes into operation only in the event of the failure of the main bearing . the outer circumference of the outer ring 3 has a spherical form that corresponds to a convex contour of a housing 4 holding the outer ring 3 . thus , between the outer ring 3 and the housing 4 , a joint 12 is formed . as long as the backup bearing 2 is not in operation , the outer ring 3 is held by friction forces in the position shown in fig1 . if the main bearing fails and the shaft 11 is held by the backup bearing 2 , this can cause angle errors within the bearing arrangement 1 that can be compensated by the joint 12 in the range of up to several degrees . the arrangement according to fig2 corresponds with respect to its function basically to the arrangement according to fig1 . in contrast to the bearing arrangement according to fig1 , however , for the bearing arrangement according to fig2 , a joint 12 is not formed between the backup bearing 2 and housing 4 , but instead completely within the housing 4 . the housing 4 here has two areas 13 , 14 that can pivot relative to each other , namely an area 13 close to the bearing and an area 14 away from the bearing . the outer ring 3 is arranged in the area 13 close to the bearing , in particular , pressed into this area 13 . the area 13 close to the bearing is formed essentially as a ring that is convex on its outer circumference — corresponding to the outer ring 3 according to fig1 . the area 14 farther away from the bearing and holding the ring - shaped area 13 close to the bearing has , analogous to the housing 4 according to fig1 , a concave inner surface that forms , in interaction with the convex outer surface of the area 13 close to the bearing , the joint 12 of the bearing arrangement 1 . fig3 shows an improvement of the bearing arrangement 1 according to fig2 . in this improvement , the joint 12 has a defined tilting axis k that is arranged orthogonal to the rotational axis r ( cf . fig1 ) of the shaft 11 . for a horizontal shaft 11 , as given in the arrangements according to fig1 to 3 , the tilting axis k is likewise arranged horizontally . the tilting axis k , in general also called preferred tilting axis , is realized in the bearing arrangement 1 according to fig3 in that the area 13 close to the bearing and the area 14 away from the bearing in the housing 4 each have two side flattened sections 15 , 16 . in the embodiment according to fig4 , the outer ring 3 is held in a housing 4 that has an arc - shaped slot 5 surrounding the outer circumference of the outer ring 3 . with respect to the principle function of the bearing arrangement 1 , refer to the prior art mentioned above , in particular , the patent application de 10 2011 005 761 a1 . the slot 5 extends across an angle from 50 ° to 180 °, for example , across an angle of 120 °, and has a gap width of less than 1 mm . as emerges from the sectional view according to fig4 , the walls 6 , 7 defining the slot 5 are not cylindrical , but instead conical . here , in the embodiment according to fig4 , both walls 6 , 7 are set at an equal angle relative to the rotational axis of the backup bearing 2 designed with r , so that the slot 5 has a constant width . as soon as the backup bearing 2 comes into operation and holds a not - shown shaft that is otherwise supported magnetically , the housing 4 deflects in the area of the slot 5 in a desired way until the walls 6 , 7 form a block . at this moment , an axial force is created between a section of the housing 4 facing the outer ring 3 and at the top in the arrangement according to fig1 and a section of the housing facing away from the outer ring 3 and the entire backup bearing 2 and at the bottom in the arrangement according to fig1 . the deflection is accompanied by a tilting of the backup bearing 2 , wherein this deflection corresponds to the shaft tilting . the walls 6 , 7 form a block on one hand toward the area 13 close to the bearing and on the other hand toward the area away from the bearing 14 , with the joint 12 being formed between these areas . the embodiment according to fig5 differs from the embodiment according to fig4 in that only the inner wall 6 of the slot 5 facing the backup bearing 2 is conical , while the outer wall 7 of the slot 5 is cylindrical . the slot 5 therefore has overall a conical shape in the shown cross section . in contrast to the embodiment according to fig4 , in the embodiment according to fig5 , the walls 6 , 7 do not form a block completely , but only on one side of the slot 5 , in the arrangement according to fig5 , on the left . in this way , when the walls 6 , 7 contact each other , a tilting moment is produced that tilts at least minimally the section of the housing 4 facing the backup bearing 2 relative to the outer section of the housing 4 facing away from the backup bearing 2 . in the arrangement according to fig5 , a not - shown load that must be held by the backup bearing 2 is located mainly at the right of the bearing arrangement 1 . the load is , for example , the rotor of an electric machine or a turbine . the load falling into the backup bearing 2 leads to a shaft bending that is partially or completely compensated or even slightly overcompensated by the minimal tilting of the backup bearing 2 caused with the help of the cross - sectional contour of the slot 5 . a targeted tilting of the backup bearing 2 , as soon as this comes into operation , is also given for the embodiment according to fig6 . in contrast to the embodiments according to fig4 and 5 , in the embodiment according to fig6 , the slot 5 is not arranged centrally relative to the outer ring 3 , that is , uniformly about a plane of symmetry s of the outer ring 3 normal to the rotational axis r of the backup bearing 2 , but instead eccentrically so that a completely flat end surface 8 of the housing 4 is formed in the areas in which the slot 5 is arranged and the outer ring 3 is held . the entire slot 5 is located in the arrangement according to fig6 outside of the mentioned plane of symmetry s of the backup bearing 2 . even more pronounced than in the embodiment according to fig5 , a closing of the slot 5 caused by loading leads to a tilting moment that acts on the backup bearing 2 and compensates for a bending of a supported shaft . fig7 shows , in a schematic detail , an improvement of the arrangement according to fig6 that can be realized in an analogous way also in the arrangements according to fig4 and 5 . here , the slot 5 is visible in a view radially from the inside to the outside on the area 14 away from the bearing . the slot 5 running in the circumferential direction of the backup bearing 2 is thus shown in the modified , two - dimensional shape . in the axial direction of the backup bearing 2 , the slot 5 extends from the end face 8 up to a second end face 17 . in the circumferential direction , the slot 5 is limited by two walls 18 , 19 on the circumferential side , whose extent corresponds in the radial direction of the backup bearing 2 to the gap width of the slot 5 . as emerges from fig7 , the width of the slot 5 on the first end face 8 is smaller than on the second end face 17 . the slot 5 becomes wider in the axial direction . in this way it is achieved that the backup bearing 2 deflects more strongly on the second end face 17 in comparison with the first end face 8 .