Transcription of Roshan - Maynard - Process Optimization
1 1 Process Optimization AS A TOOL IN THE ANALYSIS OF STEEL casting defects By Roshan Chief Metallurgist Maynard Steel casting Company Milwaukee, WI 53217 2 Process Optimization AS A TOOL IN THE ANALYSIS OF STEEL casting defects Abstract: Several technical papers are available on casting defects in the literature. However, quality costs in steel foundries are still mainly due to the rework and scrap related to casting anomalies, which are not acceptable to customers. In order to minimize the castings which do not meet the customer acceptance specifications, it is not only necessary to identify the Process parameters related to the specific defects , but also it is necessary to identify the levels of these parameters to produce acceptable castings. Metal casting Process has several sub-processes, which in turn have a number of Process variables, which could influence the occurrence of defects in castings. Conventional statistical techniques with design of experiments involves too much work for the foundries to identify the Process variables and their levels responsible for the defects .
2 The use of a Process Optimization tool which uses foundry production data that can be collected on the castings on a regular basis in the identification of the Process variables and their levels will be presented and discussed in this paper. This is useful in converting production data into actionable information that leads to minimization of quality costs in steel foundries. Introduction: Process Optimization is the identification and control of the input Process parameters (Factors) to achieve the desired output (Response) in any Process . Metal casting Process is a complex Process with several sub-processes, such as patternmaking, mold and coremaking, melting and pouring, heat treatment and cleaning and finishing. Six Sigma methodologies have been attempted in steel foundries to minimize the casting defects and improve profitability. Six Sigma uses DMAIC methodology to improve the processes. Six sigma heavily focuses on statistical analysis as it is data driven and is a methodical approach that drives the Process improvements through statistical measurements and analyses.
3 In view of the large number of factors that are responsible for the casting defects , the general statistical approach is not always the best. An alternate and more elegant pattern recognition approach is found to be appropriate for the metal casting related issues. It is suggested that the foundries follow the Six Sigma methodology with the exception that a pattern recognition Process optimizer is used instead of the conventional Design of Experiments. DMAIC Methodology: Figure 1 shows the Process map of the casting Process . It is a SIPOC diagram. On the left hand side, all the inputs which are Xs are presented and on the right hand side all the outputs are presented which are Ys. These Ys include the casting defects . casting defects which result in rework and scrap are a major issue in steel foundries. It is estimated that about 5 to 10% of the revenues of the foundries are lost in internal and external failure costs. For a 100 million dollar company a reduction of even 1% of these costs will result in a savings of 1 million dollars per year.
4 In the Define phase of Six Sigma methodology, a project charter is made with specific measurable goals. This is the critical phase of the methodology where the appropriate goal is specified based on the resources available to successfully complete the project. There will not be any change in the Define phase in the present suggested route. The project goal in the project charter specifies the big Y that will be optimized. Figure 2 shows an example of the CTQ flow diagram. This is commonly used to identify the Ys which are specified in the project charter. 3 In the Measure phase a tool known as Cause and Effect diagram is used to identify all the factors that are responsible for the casting defects . An example of the Cause and Effect diagram is shown in figure 3. Here the effect Inclusions is the Y and all the causes are Xs. Essentially what matters is the recognition of all the factors that are responsible or related to the appropriate casting defects .
5 This can be represented in the form of a relation: Y is a function of various Xs. This is shown in figure 4 as Y = F(X) Cause and Effect matrix shown in figure 5 is another useful tool in identifying all the relevant Xs related to the Y of interest in the project. As can be seen from this diagram there are nearly 25 Xs that are related to a single Y, namely Inclusions. Figure 6 shows an example of Failure Mode and Effects Analysis diagram which filters the potential Xs into critical Xs. In the conventional Six Sigma approach all the potential Xs are filtered into critical Xs as shown in figure 7 in the various phases of the DMAIC methodology. In the Improve phase of DMAIC methodology, Design of Experiments are extensively used to identify the factors and their levels that are related to the response variable namely the casting defect. Limitations of DOE as applied to foundry processes. 1. In the DOE, the number of experiments needed depends on the number of factors.
6 In the 2K design, each factor is varied over two levels and the number of experiments needed are 2K where K is the number of factors. For 3 factors, 8 experiments are needed and for 4 factors, 16 experiments are needed. As the number of factors increase, the number of experiments needed increase exponentially. As can be seen in figure 1, where there are a large number of factors, it becomes very cumbersome to carry out design of experiments. Even if fractional factorial designs or Taguchi design of experiments are used , the number of experiments needed become very large. 2. In the DOE, there is a need to carry out controlled experiments to collect the required data and it could interrupt regular production. 3. In the DOE, the level of factors have to be with a considerable difference in order to have meaningful results. 4. The DOE assumes known distributions to the unknown foundry processes, as such the results could be biased. 5. The DOE requires people with a reasonable expertise in the use to statistical techniques to design the experiments and interpret the results.
7 Y IS A FUNCTION OF X: In the analysis of casting defects , the casting Process is optimized to minimize the defects . The concept of Y = F (X) is used in the analysis. Ys: Responses : These are the manifestation of the Process . These are measures of the output of the Process . casting defects are appropriate responses which need to be minimized in the Optimization of casting Process Examples: Inclusions, Misrun, Shrinkage, Cracks etc Xs : Factors : Process variables which have an effect on Y These are the parameters which control the output of a Process Examples: Pouring Temp, Pouring Time, Compactability, Gating Ratio, Operator, Shift, Design changes 4 Process Optimization : It is the identification and control of the input Process Parameters (Factors) to achieve the desired output (Response) in any Process Process OPTIZATION SOFTWARE (MetaCause) MetaCause Process Optimization software ( ) is a pattern recognition Optimization software based on three powerful concepts (1)namely: 1.
8 Receiver Operator Characteristics (ROC) 2. Relationship Hyper-Surface 3. Interactions and Impossible Probability In general, the relationships between the factors and responses can be represented schematically as shown in figure 8. The various factors and responses are inter-related as shown in this diagram with connecting lines. The Process optimisation software recognizes the patterns and identifies their significance as shown in figure 9. The thick line represents a positive effect of the factor on the response variable. The dotted line represents a negative effect of the factor on the response variable and the dotted line with dots indicates that the factor has no effect on the response variable. The thickness of these lines indicates the weightage of the factor over the response variable. Figure 10 shows a typical user friendly output of the Process optimisation software to interpret the results of the analysis.
9 ADVANTAGES OF Process Optimization SOFTWARE: 1. It uses the actual production data that is collected during the operation of the Process . It uses all the factors and all the responses, rather than the filtered factors in conventional statistical techniques. 2. It can handle up to 50 factors and 25 responses at a time which is not practical with the existing statistical tools. 3. The results are based on sound scientific principles based on scientific concepts of Receiver Operator Characteristic, Relationship Hyper-Surface and Interactions and Impossible Probability. CASE STUDY: Failure of test results for mechanical properties is one of the issues in steel foundries. An attempt is made to determine the relationship between the chemistry of the heats to the mechanical properties of the test blocks. The data collected is shown in figure 11. The various responses identified in this analysis include, UTS, YS, %El, %RA, Charpys at 40F, Charpys at 70F, Fracture at surface and Fracture at the center.
10 The various factors considered include, the chemistry of the heat with elements: C, Mn, Si, S, P, Ni, Cr, Mo, Al, Cu, Ca, Ti and also Hardness of the test block in BHN. 20 observations were made in this case study relating the various factors to the responses. The results of the analysis are shown in figures 12 to 14. Figure 12 shows the importance weighting interpretation. 100% refers to theoretical maximum, 65% and above indicates very important Process setting. Generally this is easily recognizable by the experts by viewing the data refers to highly influential setting and 50% refers to moderately important setting. The ranges between 50 and 55% is difficult to be identified by the expert by viewing the raw is the basic threshold for the important setting and 40% refers to noisy data and has no relation to the response variable, by itself but may be significant as interaction variable with another factor which needs to be examined further. This figure also shows the various names of response variables, namely the mechanical properties including the charpy impact properties.