Optimal Control of Grinding Processes of Non-Rigid Shafts in Elastically Deformed State

Abstract

Application issues of modern methods and algorithms for optimal control of the process of technological system functioning in dynamic modes ensuring the efficiency of design of technological process of grinding for elastically deformed non-rigid shafts are considered in the paper. Necessary conditions for optimal control of technological system under consideration are investigated using the Pontryagin maximum principle. The influence of changes in moments of cutting forces on parameters of parts handling and transient process time are determined. The values of tensile forces and shaft deflections along the sections in the process of handling are determined. Graphic dependencies characterizing the parameters of processing to control technological system of grinding of non-rigid shafts based on the change in their elastically strained state are presented. Developed mathematical models and optimization of parameters in control of elastically strained state of processed parts ensure an increase in precision of handling and in surface quality of the part by an order of magnitude in comparison with previous developments.