Automatic Cycles Multiparametric Optimization of Internal Grinding

Abstract

An important and intractable problem of domestic engineering industry is the low productivity of operations performed on CNC machines. The reason for this is the absence of standards and methodologies for the design of optimal cycles for CNC machines. As a result, in practice, one has to manually choose processing modes which presents no solution to the problem of low productivity, as this method generates losses, particularly in relation to automated production intra grinding processing on CNC machines in series production.To solve this problem the research, primarily, proposes a methodology for the design of optimal multivariable stepwise cycles internal grinding processing, allowing to calculate as follows: optimal values of the radial flow at all stages of the cycle; the optimum value of the axial feed at all stages of the cycle; optimal allocation deduct allowance on the steps of the cycle for radial and axial feeds, which provide the minimum cycle time, given the technological constraints of the objective function.As a mathematical method of optimization of grinding cycles, applied dynamic programming method (DPM) is used. The application of the DPM is permissible due to the fact that this method does not require constructing an a priori bounds of the permissible restrictions and is not sensitive to the properties of management models and constraints. The optimality criterion is adopted, the minimum cycle time of grinding. The optimality criterion is adopted being the minimum cycle time of grinding. The use of DPM allows taking into account any number of technological limitations of the objective function (limitations on the accuracy and other quality indicators; performance properties of a circle; design parameters of the machine).The designed internal grinding cycles of processing are multi-dimensional and reflect the dependence interdependence speed axial flow, radial flow and amount of removed stock. The method of optimization cycles allows expanding the number of optimized parameters and performing multivariable optimization in multidimensional space, which makes it use CAD to create engineering standards for cutting data for internal grinding operations that meet the requirements of modern production.