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Kriging quick adaptive sampling for multivariate optimization
No full textThe paper describes a general adaptive sampling methodology useful in multivariate optimization involving finite element analysis that typically requires a long time. The proposed adaptive sampling method was obtained by starting from a model-based statistical methodology developed to design an adaptive inspection plan for the geometric control of mechanical parts. The novelty of the new kriging adaptive sampling procedure consists in overcoming some critical issues, such as the reduction of the estimation time to have an efficient tool for quick application. The others are related to how to set up a kriging-based adaptive sampling, how to choose the stopping rule, and how to remove the dependence on the statistical variability. These issues are the subject of this work to develop a useful tool for multivariate optimization. By improving the methodology in these aspects, it was possible to obtain a feasible and useful instrument for the application in a quick sampling procedure within the inspection process. After this enhancement process, the method is sufficiently general to be extended in the multivariate optimization field that requires a multi-factorial finite element analysis. To demonstrate this, an illustrative real case study from an industrial application is presented and it was found that the proposed method reduces significantly the time required to reach the optimal solutio
The Estimation of the Diameter Error in Bar Turning: a Comparison Among Three Cutting Force Models
No full textMachining accuracy is considerably affected by the deflection of the machine-tool-workpiece system under the action of the cutting force. A new model to estimate a bar diameter error due to the deflection of the tool, of the workpiece-holder and of the workpiece was defined by the authors, starting from a cutting force model. This work deals with a comparison among the bar diameter errors that are calculated by means of the developed model involving three different cutting force models. The considered cutting force models were the specific cutting resistance, the Kronenberg cutting force and the unified-generalised mechanics of the cutting force model developed by Armarego. The numerical results were compared with those obtained by experimental tests carried out through a parallel lathe. The results show that the Armarego's cutting force model provides values of the force components and, therefore, the values of the resulting bar diameter errors are closest to the experimental ones
“Geometric Design Tolerancing: Theories, Standards and Applications” Edited by Hoda A. ElMaraghy, Chapman and Hall 1998
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