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[Technical Data]
                    Selection of Ball Screws 1





                 1. Ball Screw Selection Guidelines
                 Basic ball screw selection procedure and required evaluation items are shown below.
                       Determination of Operating Conditions  Moving mass, feed speed, motion pattern, screw shaft rotational speed, stroke,
                                              mounting orientation (horizontal or vertical), life, positioning accuracy

                        Interim selection of ball screw specifications  Temporary selection of ball screw lead accuracy grade (C5~C7),
                                              shaft diameter, lead, and length.           P.B-029 , B-030
                     NG                       •Axial Load Capacity
                        Evaluation of various basic safety factors  Confirm that the applied axial load is within the ball screw's axial load capacity rating.
                                                                                               P.B-031
                                              •Allowable Rotational Speed
                                              Confirm that the intended shaft rotational speed is within the ball screw's allowable rotational speed
                                              rating.                                          P.B-032
                                              •Life
                                              Confirm that the service life of the ball screw meets the required lifespan.   P.B-033
                     NG
                        Evaluations based on required performances  If higher positioning accuracy and/or improved responsiveness is needed, below parameters need to be evaluated.
                                              •Screw shaft rigidity
                                              •Effects of temperature variation on life        P.B-034
                 2. Ball Screw Lead Accuracy
                 Ball screw lead accuracy is defined by JIS Standards property parameters (ep、vu、v300、v2Q).
                 Parameter definitions and allowable values are shown below.
                 In general, a ball screw lead accuracy grade is selected by evaluating if the Representative Travel Error of a candidate is within the
                 allowable positioning error.
                                                             Q Table 1. Positioning Screw (C Class) Representative Travel
                              Effective Thread Length ( lu )   Error (±ep) and Variation (u) allowances
                    Actual Travel ( la ) Line  Nominal Travel ( lo ) Line                         Unit : μm
                  +         Representative Travel ( lm ) Line  Specified Travel ( ls ) Line  Thread Effective Length (mm)  Accuracy Grade
                  Travel Error  0’ 0                            over    or less  Representative   Variation
                                                                                      C5
                                                                               Travel Error
                                                                                  23
                                                                         315
                                                                                          18
                                                                                          20
                                                                         500
                                                                400
                                                                                  27
                                      0                   t     315      400      25      20
                   −                  V  0  3
                                                                500      630      30      23
                                                                630      800      35      25
                                                                800      1000     40      27
                                                          p     1000     1250     46      30
                            π                             e
                            2  V                                1250     1600     54      35
                        2π                         u  V
                                          300mm              Q Table 2. Positioning Screws (C Class) Variation per 300mm
                                                               (300), Variation per rotation (2π) standard values
                                                                                                  Unit : μm
                                                              Accuracy Grade  C5          C7
                    Terms  Symbols         Meaning
                 Representative   ep  A value that is Specified Travel subtracted from   Parameters  V300  V2π  V300
                 Travel Error  Representative Travel.          Standard   18      8       52
                               The maximum difference of the actual travel contained   Values
                               between two lines drawn parallel to the Representative
                               Travel, and is defined by three parameters below.
                 Variation  uu  Variation for the effective thread length of screw shaft.
                               Variation for an arbitrarily taken length of 300mm within
                           u300  the effective thread length of screw shaft.
                               Variation for an arbitrary one revolution (2πrad) taken
                           u2Q
                               within the effective thread length of screw shaft.
                 Specified    ls  Axial travel compensated for temperature rise and
                               loading conditions, in relation to the Nominal Travel
                 Travel        (Lead).
                               A value that is Nominal Travel subtracted from
                 Specified     Specified Travel, over the effective thread length.
                 Travel Target   t  This value is set to compensate for possible screw
                               shaft expansion and contraction due to temperature
                 Value         changes and applied loads.  The value is to be
                               determined based on experiments or experiences.
                 Actual Travel  la  Actually measured travel distance
                               A straight line representing the actual travel trend.
                 Representative   lm  A straight line obtained by the least-squares method
                 Travel        or other approximation methods from the curve
                               representing the actual travel.
          B-029
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