Vasilkov D. V., Alexandrov A. S., Golikova V. V.
Abstract: The application includes on-linear dynamic model of a piecewise linear type in the space of state variables, in which, based on the rheological approach, the features of contact interactions in the technological system during cutting from the front and back surfaces of the cutting tool are considered. A feature of cutting dynamics is adhesive-deformation contact interactions in the form of slip and setting phases, alternating over time. Each phase is represented by a dynamic characteristic in the form of a first-order aperiodic link with rheological characteristics corresponding to this phase. The conditions for the transition from one phase to another are determined synergistically by the system itself in the form of a function of switching between the setting and sliding phases during the formation and breaking of adhesive bonds in the cutting zone. To solve the modeling problem, a nonlinear system of differential equations of motion of a piecewise linear type was compiled. As a result of the simulation, it was possible to obtain periodic solutions with access to limit cycles. The proposed dynamic model is the basis for modeling quality parameters during machining, such as surface roughness, initial stresses in the surface layer, etc.
Keywords: dynamic model, state variables, rheological elements, piecewise linear nonlinear system, slip, solidification, switching function.
For citation: Vasilkov D. V., Alexandrov A. S., Golikova V. V. Dynamic simulation of contact interaction of machining process system considering rheological property of cutting zone. Aerospace Engineering and Technology. 2023. Vol. 1. No. 1, pp. 173–183.