Abstract
In this paper a model and the interactive program system MECCANO2 for multiple criteria selection of optimal machining conditions in multipass turning is presented. Optimisation is done for the most important machining conditions: cutting speed, feed and depth of cut, with respect to combinations of the criteria, minimum unit production cost, minimum unit production time and minimum number of passes. The user can specify values of model parameters, criterion weights and desired tool life. MECCANO2 provides graphical presentation of results which makes it very suitable for application in an educational environment.
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Abbreviations
- a min,a max :
-
minimum and maximum depth of cut for chipbreaking [mm]
- a w :
-
maximum stock to be machined [mm]
- C a, αa,β a :
-
coefficient and exponents in the axial cutting force equation
- C r, αr,β r :
-
coefficient and exponents in the radial cutting force equation
- C T, α, β, γ:
-
coefficient and exponents in the tool life equation
- C v, αv, βv :
-
coefficient and exponents in the tangential cutting force equation
- D w :
-
maximum permissible radial deflection of workpiece [mm]
- F a :
-
axial cutting force [N]
- F b :
-
design load on bearings [N]
- F c :
-
clamping force [N]
- F /* k :
-
minimum value of criterionk, k=1, ...,n, when considered separately
- f m :
-
rotational flexibility of the workpiece at the point where the cutting force is applied [mm Nm−1]
- f r :
-
radial flexibility of the workpiece at the point where the cutting force is applied [mm N−1]
- F r :
-
radial cutting force [N]
- F tmax :
-
maximum allowed tangential force to prevent tool breakage [N]
- F v :
-
tangential cutting force [N]
- k :
-
slope angle of the line defining the minimum feed as a function of depth of cut [mm]
- l :
-
length of workpiece in the chuck [mm]
- L :
-
length of workpiece from the chuck [mm]
- L c :
-
insert cutting edge length [mm]
- M g :
-
cost of jigs, fixtures, etc. [$]
- M o :
-
cost of labour and overheads [$/min]
- M u :
-
tool cost per cutting edge [$]
- n :
-
number of criteria considered simultaneously
- N q, Np :
-
minimum and maximum spindle speed [rev/min]
- N s :
-
batch size
- N z :
-
spindle speed for maximum power [rev/min]
- P a :
-
maximum power at the point where the power-speed characteristic curve changes (constant power range) [kW]
- R :
-
tool nose radius [mm]
- r :
-
workpiece radius at the cutting point [mm]
- r c :
-
workpiece radius in the chuck [mm]
- s min,s max :
-
minimum and maximum feed for chipbreaking [mm]
- T :
-
tool life [min]
- T a :
-
process adjusting time [min]
- T b :
-
loading and unloading time [min]
- T d :
-
tool change time [min]
- T des :
-
desired tool life [min]
- T h :
-
total set-up time [min]
- T t :
-
machining time [min]
- V rt :
-
speed of rapid traverse [m/min]
- W :
-
volume of material to be removed [mm3]
- W k :
-
weight of criterionk, k=1, ...,n
- x=[x 1,x 2,x 3 ] T :
-
vector of decision variables
- x 1 :
-
cutting speed [m/min]
- x 2 :
-
feed [mm/rev]
- x 3 :
-
depth of cut [mm]
- χ:
-
approach angle [rad]
- μa :
-
coefficient of friction in axial direction between workpiece and chuck
- μc :
-
coefficient of friction in circumferential direction between workpiece and chuck
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Mesquita, R., Krasteva, E. & Doytchinov, S. Computer-aided selection of optimum machining parameters in multipass turning. Int J Adv Manuf Technol 10, 19–26 (1995). https://doi.org/10.1007/BF01184274
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DOI: https://doi.org/10.1007/BF01184274