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2_Kap_VT_EN_2016_VT_KAT  18.02.16  09:36  Seite 47
               PA01019111_inh_EN.pdf
                  Vacuum Knowledge
                  System Design – Calculation Example
     PA01019111_inh_EN.pdf  Load case I – Suction cup horizontal, direction of force horizontal                                  PA01019111_inh_EN.pdf





                  The workpiece (in this case the steel sheet with the dimensions 2.5 x 1.25 m) is lifted up vertically and transported horizontally.
                  The acceleration is 5 m/s².                                                                             Schmalz - The  Company

                   F   =  m x (g + a) x S                                         F
                    TH                                                             TH
                   F   = theoretical holding force  [N]
                    TH
                   m   =  Weight [kg]
                                      2
                   g   =  Gravity [9.81 m/s ]                                                                             Vacuum   Knowledge
                                      2
                   a   =  Acceleration [ m/s ] of the system
                   S   =  Safety factor
                                                                                  F G
                   Our example:                                                                                           Vacuum   Suction Cups
                                                 2
                   F TH  =  61.33 kg x (9.81 m/s² + 5 m/s /0.5) x 1.5
                   F TH  =  1,363 N                                  The suction cups land on a workpiece vertically that is to be
                                                                       lifted up.
                  Load case II – Suction cup horizontal, direction of force horizontal                                    Special   Grippers
                  The workpiece (in this case the steel sheet with the dimensions 2.5 x 1.25 m) is lifted up vertically and transported horizontally.
                  The acceleration is 5 m/s².
                   F   = m x (g + a/µ) x S                                        F
                    TH                                                            TH                                      Vacuum Grip-  ping Systems
                   F TH  = theoretical holding force  [N]
                   F a  =  Acceleration force = m x a
                   m   =  Weight [kg]
                                      2
                   g   =  Gravity [9.81 m/s ]
                                      2
                   a   =  Acceleration [m/s ]of the system                                                                Mounting   Elements
                   µ   =  Friction coefficient
                   S   = Safety factor                                           F G    F a
                   Our example:                                      The suction cups land on a workpiece horizontally that is to be  Generators
                   F TH  = 61.33 kg x (9.81 m/s² + 5 m/s² /0.5) x 1.5  moved to the side.                                 Vacuum
                   F TH  = 1,822 N


                  Load case III – Suction cup vertical, direction of force vertical                                         Technology
                  Description of load case: The workpiece (in this case the steel sheet with the dimensions 2.5 x 1.25 m) is picked up from a pallet and  Valve
                  moved with a rotary motion at an acceleration of 5 m/s².
                   F  = (m/µ) x (g + a) x S
                    TH                                                                                                    Switches and
                   F   = theoretical holding force [N]                                                                      Monitoring
                    TH
                   m   =  Weight [kg]
                                     2
                   g   =  Gravity [9.81 m/s ]
                                      2
                   a   =  Acceleration [m/s ] of the plant                   F TH
                   μ   =  Friction coefficient                                                                            Filters and   Connections
                   S   = Safety factor
                   Our example:
                                              2
                                                     2
                   F  = (61.33 kg /0,5) x (9.81 m/s + 5 m/s ) x 2
                    TH
                   F  = 3,633 N                                                                                           Services
                    TH
                  Comparison:
                  For our scenario, the workpiece is lifted off a pallet, moved to the  F G
                  side and placed on a machining center. The rotary motion from
                  load case III is not needed in this application, therefore one only                                     Contact
                  needs to consider the result from load case II.

                  The result in this case is a maximum theoretical holding force                                          Produktindex Produktindex Produktindex
                  (F ) of 1,822 N. This theoretical holding force acts on the suction  The following calculations are based on this value to safely solve  Index of   Products
                   TH
                  cup during horizontal transport of the workpiece.   the task.
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