Design and simulation of a nonlinear circuit corresponding to a blooming mill

A self-exciting vibration model of a single-degree-of-freedom blooming mill, part of the main blooming drive system, is presented and its dynamical equation is established. According to the bifurcation, phase portrait and Poincaré portrait, the nonlinear dynamical motions are studied in one parameter. The software Matlab/Simulink is used to create a block diagram of the circuit system. The result of the simulation verifies the motion of the circuit system and is consistent with a numerical simulation of the mechanical system. The software Multisim is used to simulate the mathematical description of the circuit, and a phase portrait analysis is performed. Because there are errors in the electronic elements, the result of the circuit simulation using Multisim is different from the numerical simulation of the mechanical system.