Abstract. The article presents methodology for designing optimal
feed control cycles resistant to unstable machining conditions for a batch
of parts in round grinding operations performed on CNC machines. To improve the quality and reliability of control programs for CNC machines, a digital twin (DT) is proposed to be used. It performs virtual testing of a given grinding cycle for the possibility of defect occurrence at some
combination of variable technological factors. To design the optimal
grinding cycle by calculating the optimum trajectory of the radial feed
change cycle, we propose the dynamic programming method (DPM) used in
solving the classical transport problem, in which a network of roads with
intermediate stations is specified. In the task it is necessary to find the
optimal trajectory of transport. The conditions for the appearance of
defects detected by the DT are introduced into the system of restrictions,
and the feed cycle is again optimized in the DPM optimization system. A new
optimized cycle is again tested by the DT. These iterations are repeated
until the DT fixes the present of a defect for the operation. The
methodology proposed in the article for the synthesis of digital twin and
DPM technologies at the stage of preparation of control programs for CNC
machines makes it possible to guarantee the maximum productivity of the
grinding operation while ensuring the specified quality of the machined
surface under varying processing conditions that vary within the specified
limits.
Abstract.The technique of designing the optimal cycles of intragrinding processing which allows performing complex optimization of control parameters is presented. As a mathematical optimization technique the method of dynamic programming is used; it allows to take into account any number of optimized control parameters and constraints of the objective function. In this case, this optimization method is not sensitive to the type of mathematical models of the process and the constraints of the objective function. Complex optimization can simultaneously optimize the parameters of the grinding cycle (the number of cycle stages, feed and allowance for the stages), the cutting speed (billet and circle speed of rotation), parameters of the circle characteristics (hardness, granularity, structure, material of grains and bundle) and parameters of technological adjustments (diameter and height of the circle, circle overtravel).
Abstract. In the engineering industry there are still no domestic systems of designing efficient automatic cycles for CNC machines because of the lack of a theory of their design. The article describes the approach to the development of the designing theory of optimal automatic cycles, covering all types of machining operations. The basis of this theory is a mathematical model for controlling the process of metal removal, adequately describing the process of metal removal using the whole complex of control parameters as with all possible combinations of the main technological factors as and in the wide ranges of their allowable variation. The dynamic programming method (DPM) is used as a mathematical method of optimization; it can be used for complex optimization of the processing cycle in the multidimensional space of control parameters with any number of constraints verified at each step of a directed enumeration of calculation options. As a result, it becomes possible to optimize an unlimited number of control parameters for all types of machining operations performed on CNC machines
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