fig1 shows a section of a camshaft 1 , the shaft body 2 of which is designed as a hollow shaft 3 . at any position , hollow shaft 3 passes through a component 5 designed as a cam 4 ; component 5 is fixed to hollow shaft 3 using a press fit in a manner according to the present invention and to be described in greater detail below . to ensure that component 5 and hollow shaft 3 can be easily positioned initially in the correct position relative to each other in a manner that is known per se and will therefore not be described in greater detail , a bore 6 is formed in component 5 , the diameter of bore 6 being greater than outer diameter 7 of hollow shaft 3 , so that clearance 8 results between hollow shaft 3 and component 5 . inventive joining tool 10 passes through at least part of inner space 9 of tubular hollow shaft 3 , it being possible for joining tool 10 to make a translatory motion — in a manner to be described in greater detail — toward either end of hollow shaft 3 , as indicated by direction arrow 11 . joining tool 10 is composed of at least one first shaping element 12 and at least one further shaping element 13 . in the exemplary embodiment shown , first shaping element 12 is defined by a conical mandrel 14 , on one end of which a guide means 16 designed as a connecting rod 15 is integrally formed . it is within the framework of the present invention for guide means 16 and mandrel 14 to be designed as a single component or , e . g ., to be detachably interconnected via a not - shown thread . the conical shape of mandrel 14 is selected such that the largest conical diameter 17 of mandrel 14 is smaller than inner diameter 18 of hollow shaft 3 . at the end opposite from the mandrel , connecting rod 15 is coupled via interface elements 19 known per se with a drive 20 designed , e . g ., as an electrically or hydraulically driven linear motor that can move the at least one first shaping element 12 inside hollow shaft 3 as indicated by arrow direction 11 . the at least one further shaping element 13 is defined by an annular bushing 21 , which is composed of a large number of annular segments 22 , as shown in fig2 . annular segments 22 are fixed in position in the circumferential direction using suitable fixing means 35 , e . g ., snap rings or o rings , such that they ensure a nearly annular shape of annular bushing 21 and also allow annular segments 22 to move in the radial direction as indicated by arrow direction 23 . furthermore , a guide means 16 designed as a support tube 24 is assigned to annular segments 22 on an end face . a u - bent bracket 36 is assigned to support tube 24 at one end that , in a manner similar to connecting rod 15 , couples support tube 24 via interface elements 25 known per se with a drive 26 designed , e . g ., as an electrically or hydraulically driven linear motor . in this manner , annular bushing 21 can be fixed in position inside hollow shaft 3 . it is within the framework of the present invention for annular segments 22 of annular bushing 21 to be lockable with support tube 24 in a not - shown manner such that the at least one further shaping element 13 moves inside hollow shaft 3 as indicated by arrow direction 11 and can be brought into a new position . a simpler design results when drive 26 of support tube 24 is fixed to the frame and drive 20 of first shaping element 12 is hinge - mounted on bracket 36 connected with support tube 24 . displacement of shaping elements 12 , 13 inside hollow shaft 3 can thereby be realized without any additional arrestment . it is within the framework of the present invention for mandrel 14 and annular bushing 21 to each include described guide means 16 on each of their end faces , so that , instead of a drive and support on only one side , it is possible to realize a drive on both sides and support of shaping elements 12 , 13 on both sides in order to ensure that joining tool 10 functions in a precise manner . furthermore , inner surfaces 27 of annular segments 22 of annular bushing 21 as a whole form the shape of a truncated cone 28 . the orientation of truncated cone 28 is selected such that mandrel 14 — which also has the shape of a truncated cone — of first shaping element 12 can move into and out of this truncated cone 28 . a very effective relative motion between the two shaping elements 12 , 13 can be attained when edge inclination angles 29 , 30 of truncated cone 28 and mandrel 14 are nearly identical , so that mandrel 14 can penetrate annular bushing 21 entirely . according to the inventive method for realizing a press fit between component 5 and a hollow shaft 3 , the first step is to position component 5 on hollow shaft 3 . in a manner known per se , this is accomplished by sliding component 5 onto hollow shaft 3 and fixing it in the desired joining position . depending on the configuration , one or more components 5 — which are designed , e . g ., as cams 4 on a camshaft 1 — can be positioned simultaneously or in succession on hollow shaft 3 . when components 5 are fixed in the correct position , further shaping element 13 is moved in a translatory manner into the region of component 5 by starting up drive 26 associated with further shaping element 13 , the translatory motion being brought about , in the exemplary embodiment shown , by displacing bracket 36 associated with support tube 24 in arrow direction 37 . depending on the press fit geometry desired , the width of annular bushing 21 associated with further shaping element 13 can be equal to , greater than or less than the width of component 5 . in the next step , first shaping element 12 is also moved in a translatory manner inside hollow shaft 3 in the direction of annular bushing 21 of further shaping element 13 by starting up linear motor 20 . as shown in fig3 , during this motion , mandrel 14 of first shaping element 12 enters annular bushing 21 of further shaping element 13 . given that edge angles 29 , 30 of truncated conical mandrel 14 are matched to those of truncated conical recess 28 in annular bushing 21 , annular segments 22 — which are held together in an annular formation — of annular bushing 21 are moved outwardly in radial direction 23 from an inner non - working position 31 ( fig1 ) into a working position 32 . this results in deformation 33 of hollow shaft 3 in the areas where annular bushing of further shaping element 13 is in contact with the inside of hollow shaft 3 . deformation 33 spreads inside shaft body 2 of hollow shaft 3 in the radial direction such that outer diameter 7 of hollow shaft 3 is also expanded . clearance 8 between component 5 and hollow shaft 3 is thereby eliminated and , depending on how far mandrel 14 penetrates annular bushing 21 , a press fit that is more or less pronounced is formed between component 5 and hollow shaft 3 . in a subsequent method step , as shown in fig4 , after the press fit connection is created , mandrel 14 is removed from annular bushing 21 , so that annular segments 22 of annular bushing 21 return to their original , non - working position 31 . in non - working position 31 of further shaping element 13 , shaping elements 12 , 13 of joining tool 10 can be moved inside the hollow shaft again , since the various outer diameters of shaping elements 12 , 13 are now smaller than inner diameter 18 of the hollow shaft again . according to the method steps described above , shaping element 12 , 13 can then be moved to the position of further component 5 , where the inventive method for creating a press fit is repeated . to create highly precise press fits , an electronic control and regulating unit 34 can be provided in a further embodiment of the present invention as shown in fig4 , in which characteristic curves are stored that define — as a function of translatory motion 11 of shaping elements 12 , 13 — edge inclination angles 29 , 30 and material characteristics of hollow shaft body 2 and components 5 , e . g ., elasticity module , density , temperature , and material composition . using the characteristic curves , a position of shaping elements 12 , 13 relative to each other that corresponds to the desired quality of the press fit is then determined , and the control of drives 20 , 26 is actuated and monitored to attain these positions . in a preferred exemplary embodiment , the characteristic curves form a load displacement characteristic curve . it is within the ability of one skilled in the art to modify the described formation of a press fit between a component 5 and a hollow shaft 3 in a manner not shown , or to use it in applications other than those shown here , in order to obtain the effects described , without leaving the scope of the present invention . it will be understood that each of the elements described above , or two or more together , may also find a useful application in other types of constructions differing from the types described above . while the invention has been illustrated and described as embodied in a device for non - rotatably connecting a hollow shaft with a component , it is not intended to be limited to the details shown , since various modifications and structural changes may be made without departing in any way from the spirit of the present invention . without further analysis , the foregoing will so fully reveal the gist of the present invention that others can , by applying current knowledge , readily adapt it for various applications without omitting features that , from the standpoint of prior art , fairly constitute essential characteristics of the generic or specific aspects of this invention .