Using real-time impedance measurement to monitor and control rubber vulcanization.Knowing the point at which sufficient vulcanization vulcanization (vŭl'kənəzā`shən), treatment of rubber to give it certain qualities, e.g., strength, elasticity, and resistance to solvents, and to render it impervious to moderate heat and cold. occurs during the production of rubber products would allow the producer to minimize cycle time while reducing product variation. The objective of this article is to familiarize the rubber industry with impedance impedance, in electricity, measure in ohms of the degree to which an electric circuit resists the flow of electric current when a voltage is impressed across its terminals. monitoring as a means of measuring rubber vulcanization. This article will discuss the background and science of impedance curing monitoring, and report the findings of a laboratory study in which this technology was evaluated in a REP injection molding injection molding n. A manufacturing process for forming objects, as of plastic or metal, by heating the molding material to a fluid state and injecting it into a mold. press. The laboratory study was a cooperative effort between Signature Control Systems and REP International. Part I of this article appeared in the December 1999 issue of Rubber World. Part II: Measurement of optimum cure and quantification quan·ti·fy tr.v. quan·ti·fied, quan·ti·fy·ing, quan·ti·fies 1. To determine or express the quantity of. 2. of results Introduction Part I of the study clearly demonstrated that the system is generating real-time 1. real-time - Describes an application which requires a program to respond to stimuli within some small upper limit of response time (typically milli- or microseconds). Process control at a chemical plant is the classic example. crosslink density curves, of characteristic shape corresponding to elastic elastic Of or relating to the demand for a good or service when the quantity purchased varies significantly in response to price changes in the good or service. torque curves, that respond as expected to variation in the press settings. Although these plots are compelling, it was the desire of the researchers to measure some physical characteristic of the cured material in order to verify (1) To prove the correctness of data. (2) In data entry operations, to compare the keystrokes of a second operator with the data entered by the first operator to ensure that the data were typed in accurately. See validate. the ability of the sensor A device that measures or detects a real-world condition, such as motion, heat or light and converts the condition into an analog or digital representation. An optical sensor detects the intensity or brightness of light, or the intensity of red, green and blue for color systems. to measure end-of-cure. As a method that provided for rapid results, and could also be used with varying thicknesses, it was decided that a visual observation of the part cross-section would provide for a reasonable method to determine the approximate state of cure. This provides only an approximate method of measuring cure state. Clearly, this method can be criticized in its precision, but it provides for a simple empirical approach in quantifying the system operation. Specifically, the length of an undercured plug of material in the center of the disk could be measured that would provide for a rough measure of the extent of cure in the part. Due to heat transfer through the material, it is obvious that the outer edges of the disk will cure before the center cures. Since the sensor was located on the periphery periphery /pe·riph·ery/ (pe-rif´er-e) an outward surface or structure; the portion of a system outside the central region.periph´eral pe·riph·er·y n. 1. , at approximately 130 mm, the sensor would see end-of-cure in this area before the center had completed cure. This method of measuring cure state was used in the thicker pans, both 20 mm and 50 mm. Figure 9 provides a rough schematic A graphical representation of a system. It often refers to electronic circuits on a printed circuit board or in an integrated circuit (chip). See logic gate and HDL. of the arrangement. [Figure 9 ILLUSTRATION OMITTED] This method shows an approximate state of cure of the part as it exits the mold mold, name for certain multicellular organisms of the various classes of the kingdom Fungi, characteristically having bodies composed of a cottony mycelium. The colors of molds are caused by the spores, which are borne on the mycelium. . It does not take into account the significant curing that may, occur during cooling of the part. This post-cure can be especially important for thick parts. This method is somewhat inexact in·ex·act adj. 1. Not strictly accurate or precise; not exact: an inexact quotation; an inexact description of what had taken place. 2. , in that it requires a degree of subjectivity in determining the precise edge of the uncured portion, and it has no direct correlation Noun 1. direct correlation - a correlation in which large values of one variable are associated with large values of the other and small with small; the correlation coefficient is between 0 and +1 positive correlation to mechanical properties. However, it does provide a method to correlate the impedance curves with a physical property of the part. Specifically, a peak on the crosslink density curve (inverse (mathematics) inverse - Given a function, f : D -> C, a function g : C -> D is called a left inverse for f if for all d in D, g (f d) = d and a right inverse if, for all c in C, f (g c) = c and an inverse if both conditions hold. capacitance capacitance, in electricity, capability of a body, system, circuit, or device for storing electric charge. Capacitance is expressed as the ratio of stored charge in coulombs to the impressed potential difference in volts. curve) is an indicator of complete cure under the sensor window. Therefore, if a peak is observed, and the part is cut open, the area under the sensor (130-140 mm) should be cured. If the cure is stopped precisely at the time of reaching the torque peak, the uncured length would therefore be expected to be in the range of 110-130 mm. Further curing would simply decrease the uncured length. It should be noted that in a production application, the optimal sensor location would obviously be near the center of the part, so that the end-of-cure indication under the sensor would mark the completion of cure for the entire part. Results Individual portions of the test are discussed in detail below. As stated earlier, the laboratory analysis system provides for analysis and monitoring only. All end-of-cure indications were visually observed curve peaks. The press was then manually opened. End-of-cure detection: 20 mm thickness The first step in the procedure was the conduct of numerous reference cures, conducted at a mold temperature of 185 [degrees] C. Twenty-three cures were performed for various lengths of time, ranging from a minimum of two minutes up to a maximum of four minutes, 40 seconds. Each part was cut open as it came out of the mold and the uncured length was measured and recorded. An uncured length of approximately 120 mm (110-130 mm), the optimum uncured length, was found to correlate closely with the time that the 9 kHz inverse capacitance curve (crosslink density curve) flattened flat·ten v. flat·tened, flat·ten·ing, flat·tens v.tr. 1. To make flat or flatter. 2. To knock down; lay low: The boxer was flattened with one punch. . Figure 10 shows 9 kHz inverse capacitance for two separate cures which had an uncured length of 120 mm. [Figure 10 ILLUSTRATION OMITTED] After completion of the reference cures, 32 cures were conducted at 185 [degrees] C, where the cure was stopped at the 9 kHz inverse capacitance flat, and the uncured length was measured. Nine of these cures were conducted in the reference condition. Thirteen of the cures were conducted while varying the injection speed from a minimum of 5 mm/s up to a maximum of 35 mm/s. Ten of the cures were conducted while varying the injection temperature settings from a minimum of 60-70 [degrees] C, up to a maximum of 100-110 [degrees] C. Variation in these parameters was induced induced /in·duced/ (in-dldbomacst´) 1. produced artificially. 2. produced by induction. induced, adj artificially caused to occur. induced induction. in order to insure Insure can mean:
adj. Possible to estimate, measure, or perceive: appreciable changes in temperature. See Synonyms at perceptible. . In this manner, the use of the 9 kHz peak to indicate end-of-cure could be validated val·i·date tr.v. val·i·dat·ed, val·i·dat·ing, val·i·dates 1. To declare or make legally valid. 2. To mark with an indication of official sanction. 3. . The variation in cycle time for the 32 cures ranged from a minimum of 2 m 40s, up to a maximum of 3 m, 50s. For these cures, the average uncured length was 127.5 mm, which is in the optimal window for end-of-cure prediction. Figure 11 shows the distribution of uncured lengths. The distribution shows that the ideal range of 110-130 mm was most frequently met at end-of-cure. However, some distribution outside the optimum range was also observed. Given the subjectivity in visually ascertaining the curve flat, and also in measurement of the uncured area, some distribution of this kind is probably unavoidable. The distribution shown in figure 11 is generally applicable, regardless of the specific kind of variation induced in the press. [Figure 11 ILLUSTRATION OMITTED] The final variation to be conducted for the 20 mm thickness was the important variable of mold temperature. The mold was cooled to 170 [degrees] C and the same end of cure criteria were used to open the press. The time to reach the 9 kHz flat extended out to approximately six minutes. However, the uncured length at the end of cure was typically in the range of only 20 mm, significantly different than the result at 185 [degrees] C. Similarly, when the mold was heated to 200 [degrees] C, the 9 kHz flat was observed at approximately two minutes. However, the uncured length averaged approximately 165 mm at this temperature. The cause of this unexpected result is unknown. Several possibilities are under investigation. It is believed that optimal sensor placement (near the part center) would remove this effect, but this hypothesis has not yet been validated. Testing of the end-of-cure prediction for the 20 mm part was generally successful. The system appeared to detect proper end-of-cure through a wide range of variables. Further testing required will include more accurate methods of correlating the impedance curves with mechanical properties. Additionally, further investigation of mold temperature variation for this part thickness is required. End-of-cure detection: 50 mm thickness Seven cures of a part with 50 mm thickness were conducted. The sensor did obtain a clean signal on the thick part. However, the 9 kHz signal reached a flat in only about five minutes when the part was cured at 185 [degrees] C. Inspection of the part then showed uncured lengths that were typically in the range of 180 mm. End-of-cure detection for these parts is further complicated by the fact that thick parts will continue to cure significantly from self-heating even after removal from the mold. Even cures as long as 10 minutes left the uncured length in the range of 140 mm. It is likely that a model will be required to account for self-heating of large parts after they leave the mold. This method could be a model-based calculation that would look for an end-of-cure criteria, having factored in the part thickness and temperature to account for self-heating. Alternatively, it may also be possible that an end-of-cure indication in the impedance curves could be successfully correlated cor·re·late v. cor·re·lat·ed, cor·re·lat·ing, cor·re·lates v.tr. 1. To put or bring into causal, complementary, parallel, or reciprocal relation. 2. to a final cure state after self-heating is complete. Finally, it should also be noted that frequency settings are typically varied for each part thickness. A full range of frequency sweeps was not completed for the thick part. It is also possible that a simple adjustment to the excitation excitation Addition of a discrete amount of energy to a system that changes it usually from a state of lowest energy (ground state) to one of higher energy (excited state). For example, in a hydrogen atom, an excitation energy of 10. frequency could produce a more satisfactory result. Testing of the end-of-cure detection capability for the 50 mm part was generally inconclusive INCONCLUSIVE. What does not put an end to a thing. Inconclusive presumptions are those which may be overcome by opposing proof; for example, the law presumes that he who possesses personal property is the owner of it, but evidence is allowed to contradict this presumption, and show who is . Further testing required includes correlation of the impedance curves with final cure state, after self-heating is complete. Additionally, the material should be explored through a full range of frequencies. End-of-cure prediction: 5 mm thickness The clearest data demonstrating the effectiveness of the technology was obtained with parts of 5 mm thickness or less. Since the parts were too thin to examine the cross section, a different method was used to measure the end-of-cure. In these cures, it was observed that a slightly undercured part would result in a dimple of uncured material in the center of the part. The dimple size would increase if the part were cured less. The dimple size Could be easily measured. Additonally, the thin part tests were conducted by alternating between impedance-controlled cure times and fixed cycle times. In this way, it was possible to clearly discern dis·cern v. dis·cerned, dis·cern·ing, dis·cerns v.tr. 1. To perceive with the eyes or intellect; detect. 2. To recognize or comprehend mentally. 3. the effectiveness of using the impedance control to determine end-of-cure, by comparing the final product with the part produced at a fixed cycle time. The procedure for the 5 mm thickness was as follows. The mold was heated to a temperature of 190 [degrees] C. A series of parts was produced at various cycle times. It was observed that the part consistently had a dimple of approximately 20 mm diameter when cured for 50 seconds at the 190 [degrees] C temperature. This size was selected as the control size. Therefore, the objective was to have a dimple of this size on each part produced. By conducting a frequency sweep during the cures, it was further observed that the part exhibited a peak on the 2 kHz inverse capacitance that occurred at approximately 50 seconds. This peak was selected as the impedance control feature. The temperature was then allowed to drift down to approximately 175 [degrees] C in an uncontrolled fashion. A series of ten cures was conducted as the temperature drifted down. The cures alternated between press opening on fixed 50 second cycle times and press opening based on the 2 kHz inverse capacitance peak. Figure 12 shows the comparison in dimple size between the impedance control and the time control. Note the consistency in the part when press opening is determined by the impedance control, as opposed to the variability observed with the time-based cycle. Figure 13 shows a plot of the corrected cure times (determined by reaching the inverse capacitance peak) required to produce the consistent part. [Figures 12-13 ILLUSTRATION OMITTED] Testing of the system with 5 mm parts was very successful. The impedance control system was clearly capable of producing parts with minimum variability. End-of-cure detection: 2 mm thickness Testing with the 2 mm parts was the same procedure as with 5 mm parts. However, more tests were conducted to verify the system effectiveness. The procedure for the 2 mm thickness was as follows. The mold was heated to a temperature of 185 [degrees] C. A series of parts was produced at various cycle times. It was observed that the part consistently had a dimple of approximately 20 mm when cured for 17 seconds at the 185 [degrees] C temperature. This size was selected as the control size. Therefore, the objective was to have a dimple of this size on each part produced. By conducting a frequency sweep during the cures, it was further observed that the part exhibited a peak on the 5 kHz inverse capacitance that occurred at approximately 17 seconds. This peak was selected as the impedance control feature. The temperature was then allowed to drift down to approximately 170 [degrees] C in an uncontrolled fashion. Twenty-four cures were conducted as the temperature drifted down. The cures alternated between press opening on fixed 17 second cycle times and press opening based on the 5 kHz inverse capacitance peak. Figure 14 shows the comparison in dimple size between the impedance control and the time control. Note the consistency in the part when press opening is determined by the impedance control, as opposed to the variability observed with the time-based cycle. Figure 15 shows a plot of the corrected cure times (determined by reaching the inverse capacitance peak) required to produce the consistent part. [Figures 14-15 ILLUSTRATION OMITTED] Parts are organized into four rows. The top row and the third row are parts produced based on the fixed cure time. The second and bottom row are parts produced based on the impedance control. Severe deformation deformation /de·for·ma·tion/ (de?for-ma´shun) 1. in dysmorphology, a type of structural defect characterized by the abnormal form or position of a body part, caused by a nondisruptive mechanical force. 2. is noted in the first and third rows (fixed cycle), as compared to the uniformity observed in the second and fourth row (impedance controlled). Part S12 in the two final cures is the part produced based on the impedance control. The inverse capacitance curve did not reach a peak until 1 minute, 21 seconds into the cure. Part M12 was produced based on the fixed 17 second cure time. Deformation was noted in the M12 part. Testing of the system with 2 mm parts was very successful. The impedance control system was clearly capable of producing parts with minimum variability. Conclusions The study was highly successful in demonstrating the ability of the impedance monitoring system to respond to factors that influence rubber vulcanization. Factors such as injection speed, injection temperature and mold temperature produced predictable changes in the crosslink density curves generated by the system. Additionally, the study demonstrated the ability of the impedance control system to produce consistent parts, even with significant variation in mold temperature. More study is currently in the planning stages. Specific areas of interest include quantitative mechanical testing of production parts, inclusion of metal inserts, analysis of thick parts (including mold temperature influence), analysis of industrial parts and optimization optimization Field of applied mathematics whose principles and methods are used to solve quantitative problems in disciplines including physics, biology, engineering, and economics. of the sensor location in the mold. Further development is underway to establish and verify cure control criteria for a variety of materials and thicknesses. The study clearly shows the potential to monitor and control rubber production processes with real-time monitoring of crosslink density. The real-time control Real-time control is a popular term for a certain class of digital controllers. For effective digital control, it is critical that sample time be constant. Real-time control achieves nearly constant sample time. See also
References [1.] Kranbuehl, eds. Runt The frame that remains after a collision on a CSMA/CD medium such as Ethernet. Runts are undersize packets, smaller than what the network protocol calls for, such as 64 bytes in Ethernet. Electrical interference or faulty wiring can also produce a runt. and Fitzgerald. Dielectric Spectroscopy Dielectric spectroscopy (sometimes called impedance spectroscopy) measures the dielectric properties of a medium as a function of frequency.[1][2][3][4] of Polymeric polymeric /poly·mer·ic/ (pol?i-mer´ik) exhibiting the characteristics of a polymer. pol·y·mer·ic adj. 1. Having the properties of a polymer. 2. Materials, ACS (Asynchronous Communications Server) See network access server. , 1997. [2.] Persson, A novel method of measuring cure - dielectric dielectric (dī'ĭlĕk`trĭk), material that does not conduct electricity readily, i.e., an insulator (see insulation). A good dielectric should also have other properties: It must resist breakdown under high voltages; it should not vulcametry, Plastics and Rubber Processing and Applications 7 (1987), 111-125. [3.] Khastgir, A comparative study of step curing and continuous curing methods, Rubber World, January 1994. [4.] McCrum, Read and Williams. Anelastic and dielectric effects in polymeric solids, Dover Books, 1967. [5.] Von Hippel Von Hippel is a surname.
Materials which are electrical insulators or in which an electric field can be sustained with a minimal dissipation of power. Dielectrics are employed as insulation for wires, cables, and electrical equipment, as polarizable media for and Applications. Cambridge, Technology Press of MIT MIT - Massachusetts Institute of Technology , 1954. [6.] McCrum, Read and Williams, 1967. |
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