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| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 7. Calculating the clamping force and speed of rotation 7.1 Determing the clamping force | | | | | | | | | | The clamping force FSp of a rotary chuck is the total of all jaw forces acting radially on the workpiece. The clamping force applied before the cutting process and with the chuck stationary is the initial clamping force Fspo. The clamping force Fsp avialable during the cutting process is, firstly, the initial clamping force Fspo existing with the chuck stationary. This force is then increased or decreased by the centrifugal force Fc on the jaws. Fsp=Fspo ± Fc [N] (1) The (-) sign is for clamping forces applied from the outside in. The (+) sign is for clamping forces applied from the inside out. The clamping force Fsp avialable during the cutting process multiplied by safety factor Sz > 1,5. | | The size of this factor is determined by the accuracy of the influence parameters such as loading, clamping coefficient, etc. Fsp=FspzSz [N] (2) A safety factor of Sp > 1,5 should be taken into consideration for the static initial clamping force Fspo. Consequently, the following applies for the clamping force with the chuck stationary. | | | | | | | | | | Fspo -Ssp ' (Fsp =•= Fc) | | | | | | (3) | | | | | | | | | | | | | The (-) sign is for clamping forces applied from the outside in. The (+) sign is for clamping forces applied from the inside out. | | | | | | | | | | | | | | 7.2 Determining the permitted speed of rotation | | | | | | | | | | 7.2.1 Centrifugal force Fc, and centrifugal moment Mc | | The following formula applies to chucks with sliding andfalsejaws inwhichthefalsejaws AB canbemo-ved in order to alter the clamping area and the sliding jaws GB approximately maintain their radial position: Mc =Mcgb + Mcab [mkg] (7) McGB can be obtained from the table below. McAB canbecalculatedusingthefollowingformula: Mcab = mAB * rsAB [mkg] (8) The clamping forces can be obtained by referring to the clamping force/speed of rotation diagram (see page 28) when using standard series production jaws allocated to specific chuck by the chuck manufacturer. | | | | | | | | | | Formulae (1), (2) and (3) produce the following result for clamping from the outside in: | | | | | | | | | | spo | | | | | | (4) | | | | | | | | | | | | | | sp | | | | | | | | | | In this case the centrifugal force Fc is dependent on the mass of all jaws mg, the centre of gravity radius rs and the speed of rotation n. The following formula can be derived: | | | | | | | | | | Fc-(mB'rs)'^-^30n)2| | | | | | | (5) | | | | | | | | | | | | | | The expression mg * rs is called the centrifugal moment Mc Mc =mg. rs [mkg] (6) 7.3 Permitted speed of rotation The following formula applies for determining the permitted speed of rotation for a specific machining job: | | | | | | | | | | A | | | | | | Important: | | | | | | | | | | | | | | Do not exceed the maximum speed of rotation nmax of the chuck (marked on the body of the chuck). This applies even if the calculated permitted speed ofrotation npermis greater than the maximum speed nmax. | | | | | | | | | | 30 71 1 | | | | | | 1 spo - | | | | | | [min-1](9) | | | | | | nperm : | | | | | | | | | | I Mc | | | | | | | | | | | | | | | | | | | | | | | | | | (Nothe the number of jaws for 2 McJ | | | | | | | | | | | | | | | | | | | | | | | | | | Chuck size | 110 | 130 | 140 | 160 | 175 | 200 | 250 | 315 | 400 | 500 | | | | A_ | 45 | 53 | 53 | 55 | 55 | 67 | 75 | 95 | 130 | 130 | | | | B_ | 26,5 | 22,5 | 22,5 | 26,5 | 26,5 | 36,5 | 36,5 | 45 | 50 | 50 | | | | C | 32 | 30 | 30 | 38 | 38 | 53 | 53 | 54,5 | 80 | 80 | | | | x-o Max. weight in kg | 0,21 | 0,223 | 0,223 | 0,32 | 0,32 | 0,7 | 0,88 | 1,4 | 3,1 | 3,1 | | | | Eg_ Ra max. in mm | 32,5 | 38,5 | 43,5 | 52,5 | 60 | 66,5 | 87,5 | 110 | 135 | 185 | | | | rat" La max. in mm | 16 | 16 | 16 | 19 | 19 | 27 | 27 | 27 | 40 | 40 | | | | Centrifugal moment Mc GB [mkg] | 0,007 | 0,0086 | 0,001 | 0,017 | 0,019 | 0,047 | 0,077 | 0,154 | 0,42 | 0,574 | | | | | | | | | | | | | | | | | | | | | | | | | | 8. Clamping force/speed of rotation diagram see page 28 9. Clamping force/actuating force diagram see page 28 10. Technical data see page 29-30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
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