Modelling and simulation application by the optimization of deep drawing process

Abstract

For the past ten years the modelling and simulation is most often applied in manufacturing activities for the purpose of optimization, controlling and increasing of the productivity of manufacturing processes. Mathematical modelling and simulation are superstructure methods whose basic aim is the innovation of existing processes, modernizing and elevation on higher technological-economic level. Defined model is foundation of analysis and simulation of process which needs to enable the choice of a optimal solution. By means of modelling of the deep drawing process of axis – symmetric workpieces has been defined a mathematical model of drawing force process F_d=f (r_M, μ, ϕ), that is the optimal range of the roundness radius of the die r_M , the optimal range of degree of strain ϕ and the optimal of tehnological lubricator μ. The mathematical models, which shows dependency of deep drawing force and the parameters of drawing process, the geometry of tool and the tribological conditions of the plastic forming, were estimated by regression analysis:  F_d=f(ϕ) , F_d= f (r_M) i F_d = f(μ) . The results of performed research show that the mathematical – experimental modelling can be successfully used for defining the form of the tool work zone, the parameters of tribological processes and the technological parameters of deep drawing process.