Circuit Realization and Control for Nonlinear Behavior of Regenerative Vibration

Autor: Zhen-Hong Liao, 廖振宏
Rok vydání: 2017
Druh dokumentu: 學位論文 ; thesis
Popis: 105
In this paper, the regenerative vibration system model composed of time-delay differential vibration equations of single degree-of-freedom orthogonal cutting is studied. After the system’s differential equations are derived with power law model and dimensionless time, data analysis methods using phase diagrams, poincare maps, bifurcation diagrams and maximum Lyapunov exponents are applied to observe the differences in system’s period caused by the change of cutting width. The research shows that vibration signals exhibit dynamic behaviors, such as periodicity and chaos phenomenon, when cutting width reaches certain value. The chaos phenomenon increases the degree of vibration and leads to instability. In order to suppress non-periodic vibration, Particle Swarm Optimization (PSO) algorithm is applied in this paper to determine the optimal gain parameters for proportional and derivative controller, which is used to suppress the chaos phenomenon in regenerative vibration system. The fitness function is calculated by using integral absolute error (IAE). Through simulation, voltage reduction and hardware circuit implementation, the feasibility of incorporating control to suppress the chaos phenomenon of a regenerative system effectively is verified.
Databáze: Networked Digital Library of Theses & Dissertations