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5. Calculation of rigidity


            Rigidity of the Feed Screw System

            Elastic deformation of the feed screw system can be obtained by formula (5).


                         ……………………………………(5)


            δ:      Volume of axial elastic deformation of the feed screw system (μ m)
            Fa:    Axial load (N)

            Axial rigidity of the feed screw system can be obtained by formula (6)


                                                     …………………………(6)


            K:    Axial rigidity of the feed screw system (N/μm)
            K s:     Axial rigidity of the screw shaft (N/μm)
            K N:    Axial rigidity of the nut (N/μm)
            K B:    Axial rigidity of the support bearing (N/μm)
            K H:    Axial rigidity of the nut and bearing mounting section (N/μm)


            1)  Axial rigidity of the screw shaft

               a. Ball screw shaft is fixed at one end


                Fixed                                                                    Floating






                                              2
            A:    area of screw cross sction (mm )



            d 1:    root diameter (mm)
                                                           2
            E:    vertical elastic coefficient (2.06×105N/mm )
            L:    mounting distance (mm)

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