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2_Kap_VT_EN_2016_VT_KAT  18.02.16  09:36  Seite 46
               PA01019111_inh_EN.pdf
               Vacuum Knowledge
               System Design – Calculation Example
     PA01019111_inh_EN.pdf  Weight Calculation of a Workpiece                                                                    PA01019111_inh_EN.pdf





         Schmalz - The  Company  It is important to determine the weight (m) of the workpiece to continue with additional calculations. It is calculated based on the


                following formula:

         Vacuum   Knowledge  m  =  L x B x H x ρ
                    =  Weight [kg]
                 m
                 L  = Length [m]
                 B  = Width [m]
                 H
                    = Height [m]
         Vacuum   Suction Cups  ρ  = Density [kg/m ]
                                3

                 Our example:
                 m  = 2.5 m x 1.25 m x 0.0025 m x 7,850 kg/m³
         Special   Grippers   m  = 61.33 kg


         Vacuum Grip-  ping Systems  Theoretical Holding Force of a Suction Cup



               To calculate the theoretical holding force, we show and describe the three most important and most frequently occurring load cases
               (handling sequences).
         Mounting   Elements  Important:

               For the following, simplified representations of the load cases the calculation must be based on the worst load case with the highest,
               theoretical holding force. This is the only way to ensure that the suction cup grips the workpiece safely during the entire handling process.

         Vacuum   Generators  Safety factor S:
               The safety factor S must be adjusted in accordance with the condition of workpiece surface . The safety factor has a minimum value of
               1.5 for smooth and dense workpieces. A safety factor of 2.0 or greater must be used for critical, heterogeneous, porous, rough or oiled
               workpieces.

         Valve   Technology  Friction coefficient μ:
               The friction coefficient μ describes the relationship between friction force and normal force. We cannot issue generally valid specificati-
               ons for the friction coefficient between suction cup and workpiece. The friction coefficient μ therefore has to be determined correctly
         Switches and  Monitoring  The following can be used as reference values.
               through tests.



                  = 0.2 … 0.3    for wet surfaces
                  = 0.5
         Filters and   Connections  = 0.6   for rough surfaces
                               for wood, metal, glass, stone, etc.


               Calculation for oiled surfaces:
               For standard suction cups without specified lateral force, the recommended reference value is μ = 0.1 to 0.3. To obtain a more precise
         Services  value, tests must be completed on the original workpiece.

               For suction cups that have an explicitly specified lateral force on a dry or oiled surface, the friction coefficient  μ can be calculated
               using the following formula:
         Contact  µ = F  / F N
                     R
                 Lateral force on a dry or oiled surface/suction force
         Index of   Products  The calculated μ value can then be used in the formula of the respective load case (I to III).


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