Abstract
This paper presents the research based on experiment performing of the deep-drawing process with wall-thickness thinning. The corresponding measurement equipment was applied, where with the process analysis and with the applied stochastic modelling method, the physical mathematical model for the deep-drawing force is obtained, in the form: F i = f ( ψ , s 1 , μ ). The applied modelling and simulation methods in this paper, can also be used for defining the optimal values of bigger number of the technological process parameters of deep drawing, with wall-thickness thinning, by the applied higher order mathematical model. Principally, it would relate to the reduction of the drawing force with the obtained products, according to the demanded quality along with the minimum energy consumption. DOI: http://dx.doi.org/10.5755/j01.mech.18.2.1563
Highlights
With the experiment plan it was estimated the performance of entirely 12 tests, i.e., measuring of the drawing force Fi, the test of which eight tests were performed with different influential parameter values and four with the medium values Table 2
The experiment performance consists of: on the hydraulic strainer1 ̈, on the tool place, a specially produced tool for deep-drawing with wall-thickness thinning2 ̈ is fitted, sensors for drawing force measurement and contact constrains are connected with the connector cables with the measuring apparatus3 ̈
The coefficient value R = 0.99 is obtained by applying data from Table 4 and the term (18). In both cases of the adequacy model evaluation (Fisher's criteria and multiple regression coefficient R), the results show that the obtained mathematical model in coded form (12), adequately describes the deep drawing process with wall-thickness thinning, i.e the deep drawing force Fi
Summary
The principal technological process parameters are, amongst others, made of: speed, deformation rate (dependent of weight and of matrix cone angle), the states of material in contact (area topography, tribological conditions, physical and chemical material characteristics), tool geometry and working part. A successful performance of the experiment demands the identification and limitation of certain influential process parameters to a concrete number. It refers to defining of only a certain input variables, as the independent variables xi, as an input into the process , and function defining of output process yi that are variable dependent dimensions. Such approach enables qualitative managing of the process and development towards modelling achievement [1,3]. I. e., the output function value Fi was measured for different parameter values and their combinations, Table 1
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