This paper presents a method for optimizing the machining parameters in rough turning processes to control the vibrations and deformations and minimize the production time per component under practical constraints. The optimization model is formulated, in which piecewise constraints are introduced based on the varying length-to-diameter (L/D) ratio of the workpiece. The optimization problem is solved in two phases. The first phase is to determine the minimum production time for each cutting pass for preset equal-spaced depths of cut. A hybrid solver of combining a genetic algorithm (GA) and sequential quadratic programming (SQP) technique is adopted. In the second phase, a dynamic programming (DP) technique is employed to achieve the optimal production time per component and sequential subdivision of the total depth of cut. An example illustrates the method in detail. The inclusion relation of the solutions is also discussed.
- Dynamic Systems and Control Division
Optimization of Machining Parameters in Turning Processes by Dynamic Programming
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Lu, K, Zhang, X, Jing, M, Liu, H, Ghorieshi, J, & Ridley, R. "Optimization of Machining Parameters in Turning Processes by Dynamic Programming." Proceedings of the ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference. Volume 2: Legged Locomotion; Mechatronic Systems; Mechatronics; Mechatronics for Aquatic Environments; MEMS Control; Model Predictive Control; Modeling and Model-Based Control of Advanced IC Engines; Modeling and Simulation; Multi-Agent and Cooperative Systems; Musculoskeletal Dynamic Systems; Nano Systems; Nonlinear Systems; Nonlinear Systems and Control; Optimal Control; Pattern Recognition and Intelligent Systems; Power and Renewable Energy Systems; Powertrain Systems. Fort Lauderdale, Florida, USA. October 17–19, 2012. pp. 687-694. ASME. https://doi.org/10.1115/DSCC2012-MOVIC2012-8604
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