THE ENERGY BALANCE PROCEDURE FOR MODELING NONLINEAR SELF-EXCITATION OSCILLATIONS
Research of the behavior nonlinear mechanical systems enables finding of the possible states of system stability as well as analysis of stability and processes of system transition from one state of motion stability to another. In this paper, a procedure of energy balance is presented, for the purpose of making a mathematical model of self-excitation oscillations in the system with one degree of freedom and analysis of phase portraits, i.e. existence of stable states of motion for different initial conditions. The procedure was applied in modeling of self-excitation oscillations for high-speed milling and is based on determination of non-linear self-excitation force and non-linear coefficient. The mathematical model is made on the basis of experimentally acquired results that are basis for determination of real parameters of the system.