PROCEDURE FOR DETERMINING REAL MOLDING FRONTS AND ALIGNING SIMULATIONS

Abstract

A method for determining positions of a real moulding material front during a process to be carried out with a moulding machine, wherein a simulation progression (SV) of a variable characteristic of the process is calculated, positions of a simulated moulding material front are determined from the simulation, the real process is carried out, and at least one measurement progression (MV) of the at least one characteristic variable is measured directly or indirectly, a transformation is chosen, which has at least one parameter (ΔV, kp, V.sub.unknown), the transformation is applied to the at least one simulation progression (SV), with the result that a transformed simulation progression (tSV) is formed, and a parameter value is determined for the parameter (ΔV, kp, V.sub.unknown) such that a deviation between the measurement progression (MV) and the transformed simulation progression (tSV) is minimized according to a predetermined error measure or according to an operator input.

Claims

1. A method for determining positions of a real moulding material front, in particular of a melt front, during a process to be carried out with a moulding machine, in particular an injection-moulding process, wherein within the framework of a simulation of the process at least one simulation progression (SV) of at least one variable that is characteristic of the process, in particular a simulated pressure progression, is calculated, positions of a simulated moulding material front are determined from the simulation, the real process is carried out, wherein at least one measurement progression (MV) of the at least one characteristic variable, in particular a measured pressure progression, is measured directly or indirectly, at least one transformation is chosen, which has at least one parameter (ΔV, kp, V.sub.unknown), the at least one transformation is applied at least once to the at least one simulation progression (SV), with the result that at least one transformed simulation progression (tSV) is formed, at least one parameter value is determined for the at least one parameter (ΔV, kp, V.sub.unknown) such that a deviation between the at least one measurement progression (MV) and the at least one transformed simulation progression (tSV) is minimized according to a predetermined error measure or according to an operator input, and the positions of the real moulding material front are determined by applying the at least one transformation with the determined at least one parameter value to the positions of the simulated moulding material front.

2. A method for determining positions of a real moulding material front, in particular of a melt front, during a process to be carried out with a moulding machine, in particular an injection-moulding process, wherein within the framework of a simulation of the process at least one simulation progression (SV) of at least one variable that is characteristic of the process, in particular a simulated pressure progression, is calculated, positions of a simulated moulding material front are determined from the simulation, the real process is carried out, wherein at least one measurement progression (MV) of the at least one characteristic variable, in particular a measured pressure progression, is measured directly or indirectly, at least one transformation is chosen, which has at least one parameter (ΔV, kp, V.sub.unknown), the at least one transformation is applied at least once to the at least one measurement progression (MV), with the result that at least one transformed measurement progression is formed, at least one parameter value is determined for the at least one parameter (ΔV, kp, V.sub.unknown) such that a deviation between the at least one simulation progression (SV) and the at least one transformed measurement progression is minimized according to a predetermined error measure or according to an operator input, and the positions of the real moulding material front are determined by applying at least one inverse of the at least one transformation with the determined at least one parameter value to the positions of the simulated moulding material front.

3. The method according to claim 1, wherein the positions of the real moulding material front are displayed on a visualization unit of a moulding machine, by means of which the process was carried out, or on a separate visualization unit.

4. The method according to claim 1, wherein at least one of the following is effected during the performance of the process: determination of the at least one parameter value, determination of the positions of the real moulding material front, and presentation of the positions of the real moulding material front.

5. The method according to claim 1, wherein within the framework of the simulation further position-related simulation results, in particular including shear rates, a temperature distribution and/or a pressure distribution, are calculated.

6. The method according to claim 5, wherein the further position-related simulation results are matched to a real process progression by applying the at least one transformation with the determined at least one parameter value to spatial positions of the position-related further simulation results or applying the at least one inverse of the at least one transformation with the determined at least one parameter value to spatial positions of the position-related further simulation results.

7. The method according to claim 3, wherein the further position-related simulation results matched to the real process progression are displayed on the visualization unit or on the separate visualization unit.

8. The method according to claim 7, wherein the positions of the real moulding material front and the matched further position-related simulation results are displayed together.

9. The method according to claim 1, wherein a desired process progression, in particular a filling progression for the moulding process, is chosen from calculation results of the simulation and, on the basis of a difference between the desired process progression and the positions of the real moulding material front, settings of the moulding machine are altered such that the positions of the real moulding material front lie closer to the desired process progression than before the alteration.

10. The method according to claim 1, wherein the simulation progression (SV) and/or the measurement progression (MV) and/or the positions of the simulated moulding material front and/or the positions of the real moulding material front are parameterized by means of a time index or a position index (Vm, Vs) of an actuator used in the moulding process, in particular a plasticizing screw.

11. The method according to claim 1, wherein the at least one transformation includes a time shift of the simulation progression or of the measurement progression, wherein the at least one parameter (ΔV, V.sub.unknown) relates to a magnitude of the time shift.

12. The method according to claim 1, wherein the at least one transformation includes a, preferably linear, scaling of values of the at least one characteristic variable, wherein the at least one parameter (kp) relates to a magnitude of the scaling.

13. A computer program product for determining positions of a real moulding material front, in particular of a melt front, during a process to be carried out with a moulding machine, in particular an injection-moulding process, with commands which prompt a computer executing them to calculate at least one simulation progression (SV) of at least one variable (pm) that is characteristic of the process, in particular a simulated pressure progression, within the framework of a simulation or to receive one from a separate simulation, to determine positions of a simulated moulding material front from the simulation or to receive them from the separate simulation, to receive at least one measurement progression (MV) of the at least one characteristic variable, in particular a measured pressure progression, from the real process, to choose at least one transformation or to receive an input as to which at least one transformation is to be chosen, wherein the at least one transformation has at least one parameter (ΔV, kp, V.sub.unknown), to apply the at least one transformation at least once to the at least one simulation progression (SV), with the result that at least one transformed simulation progression (tSV) is formed, to determine at least one parameter value for the at least one parameter (ΔV, kp, V.sub.unknown) such that a deviation between the at least one measurement progression (MV) and the at least one transformed simulation progression (tSV) is minimized according to a predetermined error measure or according to an operator input, and to determine the positions of the real moulding material front by applying the at least one transformation with the determined at least one parameter value to the positions of the simulated moulding material front, and to output the positions of the real moulding material front.

14. A computer program product for determining positions of a real moulding material front, in particular of a melt front, during a process to be carried out with a moulding machine, in particular an injection-moulding process, with commands which prompt a computer executing them to calculate at least one simulation progression (SV) of at least one variable that is characteristic of the process, in particular a simulated pressure progression, within the framework of a simulation or to receive one from a separate simulation, to determine positions of a simulated moulding material front from the simulation or to receive them from the separate simulation, to receive at least one measurement progression (MV) of the at least one characteristic variable, in particular a measured pressure progression, from the real process, to choose at least one transformation or to receive an input as to which at least one transformation is to be chosen, wherein the at least one transformation has at least one parameter (ΔV, kp, V.sub.unknown), to apply the at least one transformation at least once to the at least one measurement progression (MV), with the result that at least one transformed measurement progression is formed, to determine at least one parameter value for the at least one parameter (ΔV, kp, V.sub.unknown) such that a deviation between the at least one simulation progression (SV) and the at least one transformed measurement progression is minimized according to a predetermined error measure or according to an operator input, and to determine the positions of the real moulding material front by applying at least one inverse of the at least one transformation with the determined at least one parameter value to the positions of the simulated moulding material front, and to output the positions of the real moulding material front.

15. A method for aligning a simulation of a process to be carried out with a moulding machine with the process really carried out, wherein within the framework of a simulation of the process a simulation progression (SV) of a variable that is characteristic of the process, in particular a simulated pressure progression, is calculated, the real process is carried out, wherein at least one measurement progression (MV) of the characteristic variable, in particular a measured pressure progression, is measured directly or indirectly, at least one transformation is chosen, which has at least one parameter (ΔV, kp, V.sub.unknown), the at least one transformation is applied at least once to the at least one simulation progression (SV) or the at least one measurement progression (MV), with the result that at least one transformed simulation progression (tSV) or at least one transformed measurement progression is formed, at least one parameter value is determined for the at least one parameter (ΔV, kp, V.sub.unknown) such that a deviation between the at least one measurement progression (MV) and the at least one transformed simulation progression (tSV) or the at least one simulation progression (SV) and the at least one transformed measurement progression is minimized according to a predetermined error measure or according to an operator input, and the simulation is altered on the basis of or with the at least one determined parameter value, in particular on the basis of the at least one transformation or at least one inverse of the at least one transformation, and carried out again.

16. The method according to claim 15, wherein results of the simulation is carried out again, and is repeated until a simulation deviation between the at least one simulation progression (SV) and the at least one measurement progression (MV) is sufficiently small according to a predefined criterion.

17. The method according to claim 15, wherein the at least one transformation includes a time shift of the simulation progression (SV) or of the measurement progression (MV), wherein the at least one parameter relates to a magnitude of the time shift, wherein the time shift is in particular caused by an unknown volume of the moulding material present in the moulding machine.

18. The method according to claim 17, wherein the simulation is altered by altering a filling volume predefined for the simulation and/or a filling volume flow rate predefined for the simulation on the basis of the at least one determined parameter value for the magnitude of the time shift.

19. The method according to claim 15, wherein the at least one transformation includes a, preferably linear, scaling of values of the at least one characteristic variable, wherein the at least one parameter relates to a magnitude of the scaling.

20. The method according to claim 19, wherein the simulation is altered by altering a material parameter predefined for the simulation on the basis of the at least one determined parameter value for the magnitude of the scaling.

21. The method according to claim 1, wherein a Cross-WLF model or a 2-domain Tait pvT model is used as material model for the simulation.

22. The method according to claim 1, wherein the at least one parameter value is stored in a database and is used when simulating and/or setting a separate process.

23. The method according to claim 1, wherein several simulation progressions and/or several measurement progressions are taken into account when carrying out the minimization of the deviation according to the error measure or the operator input.

24. The method according to claim 1, wherein within the framework of a simulation of the process a simulation progression (SV) of a variable that is characteristic of the process, in particular a simulated pressure progression, is calculated the real process is carried out, wherein at least one measurement progression (MV) of the characteristic variable, in particular a measured pressure progression, is measured directly or indirectly, at least one transformation is chosen, which has at least one parameter (ΔV, kp, V.sub.unknown), the at least one transformation is applied at least once to the at least one simulation progression (SV) or the at least one measurement progression (MV), with the result that at least one transformed simulation progression (tSV) or at least one transformed measurement progression is formed, at least one parameter value is determined for the at least one parameter (ΔV, kp, V.sub.unknown) such that a deviation between the at least one measurement progression (MV) and the at least one transformed simulation progression (tSV) or the at least one simulation progression (SV) and the at least one transformed measurement progression is minimized according to a predetermined error measure or according to an operator input, and the simulation is altered on the basis of or with the at least one determined parameter value, in particular on the basis of the at least one transformation or at least one inverse of the at least one transformation, and carried out again.

25. A computer program product for aligning a simulation of a process to be carried out with a moulding machine with the process really carried out, with commands which prompt a computer executing them to calculate at least one simulation progression (SV) of at least one variable that is characteristic of the process, in particular a simulated pressure progression, within the framework of a simulation or to receive one from a separate simulation, to receive at least one measurement progression (MV) of the at least one characteristic variable, in particular a measured pressure progression, from the real process, to choose at least one transformation or to receive an input as to which at least one transformation is to be chosen, wherein the at least one transformation has at least one parameter (ΔV, kp, V.sub.unknown), to apply the at least one transformation at least once to the at least one simulation progression (SV) or the at least one measurement progression (MV), with the result that at least one transformed simulation progression (tSV) or at least one transformed measurement progression is formed, to determine at least one parameter value for the at least one parameter (ΔV, kp, V.sub.unknown) such that a deviation between the at least one measurement progression (MV) and the at least one transformed simulation progression (tSV) or between the at least one simulation progression (SV) and the at least one transformed measurement progression is minimized according to a predetermined error measure or according to an operator input, and to alter the simulation on the basis of or with the at least one determined parameter value, in particular on the basis of the at least one transformation or at least one inverse of the at least one transformation, and to carry it out again, or to output instructions which include that the simulation is to be carried out again and what alterations are to be made to the simulation on the basis of or with the at least one determined parameter value, in particular on the basis of the at least one transformation or at least one inverse of the at least one transformation.

26. A moulding machine, which is set up to carry out a method according to claim 1.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0167] Further advantages and details are revealed by the figures and the associated description of the figures, in which:

[0168] FIG. 1 is a graph with a measurement progression and a simulation progression,

[0169] FIG. 2 is a graph with a measurement progression and a simulation progression transformed according to the invention,

[0170] FIG. 3 is a graph with a measurement progression and a simulation progression, in which positions of moulding material fronts are visualized,

[0171] FIG. 4 is a graph with a measurement progression and a simulation progression transformed according to the invention, wherein the real positions of the moulding material fronts ascertained according to the invention are visualized,

[0172] FIG. 5 is a graph of an injection or filling volume flow profile, which was a boundary condition of the simulation carried out,

[0173] FIG. 6 shows a volume flow profile altered according to the further development of the invention,

[0174] FIG. 7 is a graph with a measurement progression and a simulation progression which was carried out with the altered volume flow profile and a corrected material model,

[0175] FIG. 8 is a further graph with a measurement progression and a simulation progression which was carried out with the altered volume flow profile,

[0176] FIG. 9 is a graph with a measurement progression and a simulation progression, wherein an unknown volume was not taken into account in the simulation, and

[0177] FIG. 10 is a graph with a measurement progression and a transformed simulation progression, wherein transformations were carried out with the three transformation parameters (ΔV, kp, V.sub.unknown).

DETAILED DESCRIPTION OF THE INVENTION

[0178] The following embodiment examples relate to an injection process as sub-process of an injection-moulding process. An injection pressure was chosen as variable that is characteristic of this process. Of course, the invention functions analogously for other processes carried out with a moulding machine.

[0179] FIG. 1 shows a measured (measurement progression MV) and in addition a simulated (simulation progression SV) pressure curve, wherein values from the real injection process have been used as starting and boundary conditions for the simulation. The deviation can be easily recognized. The two curves do not correspond, since for example material parameters which are used in the simulation do not correspond with the properties with the really injected material, or because e.g. the decompression and the behaviour of the non-return valve were not taken into account in the simulation.

[0180] Metering volumes which can be assigned to actuator position via the known screw geometry and the known geometry of the barrel were used here as indices Vs and Vm, which are analogous to time indices. As mentioned, the progressions of the actuator positions (screw positions) over time are known, whereby these positions can be used as “time index”. Vs and Vm thus indirectly describe the volumes of the moulding material (plasticized material) introduced into the simulated and real mould cavity, respectively. The indices Vs are directly known from the simulation.

[0181] Deviations along the time indices can be captured by shifts along the X-axis within the framework of the invention (time shift). The mathematical transformation, which can be used for this purpose within the framework of the invention, is given by

Vs′=Vs−ΔV

wherein Vs′ denotes the transformed time index and ΔV denotes the parameter of the transformation which indicates the magnitude of the shift.

[0182] Deviations along the Y-axis can be captured by scalings of the pressure within the framework of the invention. The mathematical transformation, which can be used for this purpose within the framework of the invention, is given by

ps′=kp×ps

wherein ps′ denotes the transformed simulated pressure and kp denotes the parameter of the transformation which indicates the magnitude of the scaling.

[0183] Of course, instead of applying the transformations to the simulation progression SV the measurement progression MV could also be transformed, wherein the inverse of the transformation then has to be used later to determine the positions of the moulding material front.

[0184] FIG. 2 now shows the result of the minimization of the deviation between the measurement progression MV and the transformed simulation progression tSV. In the present example, this minimization of the deviation was carried out by a regression method known per se (here: least squares), which gives the determined numerical parameter values for ΔV and kp, here namely 3.14 ccm and 0.91 (dimensionless).

[0185] It should be mentioned that a weighting was used in order to give the alignment of the simulation progression SV with the measurement progression MV greater weight in the important range between the vertical lines represented in FIG. 2 (at approximately 5 ccm and slightly less than 35 ccm). In the specific example present here, the weightings were set to zero outside the vertical lines.

[0186] It can be seen that the two curves are now well aligned (in this type of transformation in the marked partial range of the simulation curve between 5 ccm and 34 ccm).

[0187] It follows therefrom that the melt front is located at the same point in both curves with the same screw position. A mapping of the filling patterns from the simulation onto the real screw position over the virtual screw position has thus been carried out and a visualization of the melt front based on the real screw position can thus now be carried out without problems on the control system by means of the simulated filling patterns.

[0188] By applying the transformations with the determined parameter values to the positions of the moulding material front known from the simulation, positions of the real moulding material front can be determined in the injection-moulding process. (As mentioned, it would naturally be necessary here to use the inverses of the two transformations, if the measurement progression was originally transformed).

[0189] FIGS. 3 and 4 respectively show FIGS. 1 and 2, wherein, at certain points, visualizations of the moulding material fronts have been added. In FIG. 3, the moulding material fronts are at those points resulting from the simulation. These positions would not yet be apparent from the measured measurement progression MV alone. The positions of these moulding material fronts present at the respective points in time are corrected in FIG. 4 according to the found parameter values ΔV, kp for the transformations. In other words, the positions of the real moulding material front in FIG. 4 were determined by mapping the virtual filling patterns onto a real screw position.

[0190] The thus-corrected deviation between measurement progression MV and simulation progression SV for one thing results from an incorrect modelling of the injection profile (volume flow profile) and an incorrect material model in the simulation.

[0191] Specifically, on the one hand the incorrectly modelled volume flow profile causes the deviation along the X-axis, which was corrected by the transformation of the time index. The volume of the moulding material that has entered the mould cavity was thus incorrectly modelled (“deviation of the shot volume”).

[0192] On the other hand, the incorrect material model causes the deviation of the pressure values in the Y-axis, which was corrected by the scaling of the pressure.

[0193] It should moreover be mentioned that both transformations (shifting and scaling) should be used in order to obtain accurate results. However, it is conceivable to use only the translation in the X-direction in order to determine the real positions of the moulding material front up to a certain accuracy.

[0194] In this specific embodiment of the first development of the invention, only a single simulation was carried out. An alignment of the whole simulation (pressures, positions, material models, temperatures, etc.) does not yet take place here and does not have to take place either, in order for this first method to function. Nor were any starting and/or boundary conditions retrospectively altered in the simulation and nor was the simulation repeated.

[0195] And now to an embodiment example of the further development of the invention, wherein an adjustment and repetition of the simulation are carried out:

[0196] First of all, the transformations are chosen in the same way as in the first embodiment example according to FIGS. 1 and 2 and the minimization of the deviation was likewise carried out in the same way, with the result that the same parameter values result for the parameters ΔV and kp. Next, the simulation has to be altered such that a smaller deviation from the measurement progression results, which is described below.

[0197] FIG. 5 shows a volume flow profile which was used as boundary condition for the simulation. The determined parameter ΔV finds an equivalent that is easy to interpret in the volume flow profile from FIG. 5, which was indicated by two vertical lines there. Incidentally, this was made possible by a clever choice of the time index in the form of a volume Vs of the moulding material introduced into the mould cavity. This is, however, not absolutely necessary for the invention. Naturally, other time indices can also be used, which then have to be converted for correcting the volume flow profile.

[0198] As mentioned, it can be seen from FIG. 5 that the parameter value for ΔV occurs as a volume flow profile that is too “long”. This deviation can be compensated for by a “shortened” volume flow profile, which is represented in FIG. 6, which is used for the upcoming repetition of the simulation.

[0199] Next, the material model has to be adjusted, with the result that the incorrect pressure scaling—quantified by the parameter value for kp—is compensated for.

[0200] The so-called Cross-WLF model was used as material model for the simulation.

[0201] The Cross-WLF model gives the melt viscosity r of the moulding material as follows:

[00002]$\eta =\frac{{\eta }_0}{1+{\left(\frac{{\eta }_0.Math.\stackrel{.}{\gamma }}{{\tau }^{*}}\right)}^{1-n}}$

[0202] Therein: [0203] η denotes the melt viscosity in Pa*s, [0204] η.sub.0 denotes the zero shear viscosity in Pa*s, [0205] {dot over (γ)} denotes the shear rate (unit 1/s), [0206] τ* denotes the critical shear stress at the transition to shear thinning, and [0207] n denotes an exponent which describes the shear thinning behaviour at high shear rates.

[0208] The zero shear viscosity is given by the following equation:

[00003]${\eta }_0=D_1.Math.\exp \left[-\frac{A_1\left(T-T^{*}\right)}{A_2+\left(T-T^{*}\right)}\right]$

[0209] In the present embodiment example, this Cross-WLF model is adjusted by specifying new parameters D1′ and τ*′ using the parameter value for kp, namely defined by

D1′=D1×kp

and

τ*′=τ*×kp

[0210] The thus-altered simulation is carried out again with the values 3.14 ccm and 0.91 for ΔV and kp, respectively.

[0211] The simulation result—that is the second simulation progression SV2 from the altered simulation carried out again—is represented in FIG. 7 together with the measurement progression MV. It can clearly be seen that a very good correspondence arises between the measurement progression MV and the second simulation progression SV2, namely already after the first repetition of the simulation, with the result that further iteration steps are not necessary in this example.

[0212] It is not necessary to feed both parameters ΔV and kp back into the simulation at the same time and then repeat the simulation. It is also possible to use only one parameter or to feed different parameters back into the simulation one after another several times.

[0213] For example, only the shifting parameter ΔV can be fed back into the simulation. Here, only the injection volume flow profile, as previously described in connection with FIGS. 5 and 6, is adjusted in the simulation and the simulation is repeated. The material model, which was previously also altered, remains unaltered in this case in relation to the starting simulation. When the simulation is repeated, the simulation result represented in FIG. 8 is then obtained, namely the third simulation progression SV3.

[0214] In FIG. 8, the alignment in the X-axis and the remaining deviation in the pressure scaling can clearly be seen. In a further step, this deviation could also be corrected by fitting a scaling.

[0215] Further types of deviations can also be quantified and corrected in the simulation by the method according to the invention in the further development. An embodiment example of this is described in the following in connection with FIG. 9.

[0216] In many cases, specifically not the whole moulding material volume, which is located in front of the injection device (e.g. screw), is modelled in the simulation. Either only the moulded part geometry is simulated at all and the space in front of the screw and the nozzle are not taken into account or the entire hot runner geometry is disregarded. The accurate values of these volumes are often also not known. The compression of the moulding material volume not taken into account in the simulation therefore leads to a deviation between simulation progression SV and measurement progression MV. The simulation thus deviates from the measurement by an unknown volume V.sub.unknown (can also be referred to as “dead volume”). The change in this unknown volume V.sub.unknown when a pressure is applied can be described by the following equation term:

[00004]$V_{\mathrm{unknown}}\left(\frac{1}{{\left(\frac{K_0+K_1.Math.p}{K_0}\right)}^{1/K_1}}-1\right)$

[0217] K.sub.0 and K.sub.1 are constants which describe the pressure-dependent bulk modulus of the moulding material in the following approximated form K(p)=K0+K1*p. Further possibilities for describing the compression of the moulding material can be taken from the state of the art (DE102016005780, DE102015117237).

[0218] The above expression can be used directly for the following transformation:

[00005]${\mathrm{Vs}}^{\prime }=\mathrm{Vs}+V_{\mathrm{unknown}}\left(\frac{1}{{\left(\frac{K_0+K_1.Math.p}{K_0}\right)}^{1/K_1}}-1\right)$

[0219] Vs′ again denotes the transformed time index and V.sub.unknown is the parameter of the transformation, the parameter value of which is to be found according to the invention.

[0220] The two transformations described in connection with FIGS. 1 and 2 are combined with this transformation, with the result that the transformations as a whole are defined as follows:

[00006]${\mathrm{Vs}}^{\prime }=\mathrm{Vs}+V_{\mathrm{unknown}}\left(\frac{1}{{\left(\frac{K_0+K_1.Math.k_p.Math.p}{K_0}\right)}^{1/K_1}}-1\right)-\Delta .Math..Math.V$

for the transformations of the time index and

ps′=kp×ps

the transformation of the pressure as variable that is characteristic of the process.

[0221] In this example, the constants K.sub.0 and K.sub.1 are assumed to be known, the transformation parameters are thus V.sub.unknown, ΔV, kp. If these transformation parameters are ascertained accompanied by minimization of the error measure—analogously to the description in connection with FIG. 7—the progressions MV and SV4 and transformation parameters (ΔV=3.14 ccm, kp=0.92, V.sub.unknown=29 ccm) represented in FIG. 10 result.

[0222] In principle, the constants K.sub.0 and K.sub.1 could also be regarded as parameters within the meaning of the invention and parameter values for K.sub.0 and K.sub.1 could be ascertained by the method according to the invention.

[0223] The unknown volume could be fed back into the simulation in this embodiment example by modelling an additional hot runner volume with the ascertained transformation parameter V.sub.unknown. Of course, the other adjustments of the time shift (ΔV) and of the scaling (kp) would then also be performed in the simulation.

[0224] The transformation with respect to the unknown volume can naturally also be used to adjust the positions of the moulding material fronts, such as was described in connection with FIGS. 1 and 2.