Abstract
The paper presents the methodology of optimization of the sequential grinding process with the application of fuzzy logic for the definition of objectives and constraints imposed on the machining process. The presented method includes the succession of several subsequent operations and the dimensional and shape inaccuracies between them. The use of the fuzzy sets theory enabled the definition of not only the space of expectable solutions, but also the space of acceptable solutions for which the goals and limits imposed on the grinding process are partially met. The presented methodology was used to optimize the process of sequential grinding of small ceramic elements (corundum ceramics with Al2O3 content of 92–99%.) The definition of fuzzy objective and constraints in the process of sequential grinding of small ceramics elements was proposed. The influence of the speed of the rotary grinding table and the machining allowance on the deviation of the flatness and height of the grinding elements and the value of the component of the normal grinding force were determined. Using the developed relationships, the definition of fuzzy objectives and constraints defined in the process output parameter space was transferred to the process parameter set space. In such a defined space, the optimization process was carried out using the genetic algorithm. The analysis of the impact of the applied t-norm functions used for aggregation of the fuzzy objective and constraints on the obtained results was performed. It was shown that in the case of sequential grinding of small ceramic elements, the use of minimum t-norm for an aggregation of grinding objective and constraints allows to achieve the highest process efficiency.
Highlights
Grinding processes are one of the final operations in the manufacturing process
The results of the optimization were analyzed for two cases, differing in the grinding objectives values: The genetic algorithm was used to optimize the parameters of sequential grinding of small ceramic elements
An application of the Łukasiewicz t-norms for the aggregation leads to the search for grinding parameters which allow to fulfill in a full degree the highest number of fuzzy objectives and constraints. (The value of the fuzzy membership function equals 1.) In the case when higher grinding requirements were imposed on the process efficiency, it is not possible to obtain in full degree all the fuzzy objectives
Summary
Grinding processes are one of the final operations in the manufacturing process. They determine the accuracy of the shape, dimensions and quality of the machined surface. The multitude of factors affecting the result of grinding process and the variability of their effect during the process induces the use of fuzzy logic methods in the definition of machining objectives and constraints. This is important in sequential grinding with the cumulative impact of individual operations inaccuracy on the result of the process. The paper presents the assumptions and results of the optimization of the grinding process using fuzzy logic to the definition of objectives and constraints imposed on the example of the sequential grinding of small ceramic elements. An analysis of the impact of t-norms used for an aggregation of fuzzy objectives and constraints on optimization results was performed
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