A Study Of Chaos Vibration System's Parameters And Its Simulating Calculations

Chaos motion is a very complicated motion whose trajectory limits in a finite area and will never repeat. It is happened in the defined systems and is result looks like what happens in stochastic system. Chaos is one of the world upsurges, and more and more people are recognizing its special attribute. This paper gathered several nonlinear differential vibration equations which all come from engineering fields. The author ana~yzes these nonlinear differential equations in theory and simulates its results in details. By changing equations parameters, the author has obtained chaos results. These results may very important for the further practical use. The paper is divided into four parts: in the first part, the paper used several classic chaos examples to explain what is chaos, and introduced the history and the development of chaos study. In the second part, the paper summarized the theory that related the chaos vibration. The third part is the core of this paper, the author analyzes the nonlinear differential equation in theory and simulates the numeric chaos results in detail, and there are plenty of diagrams and exact data in this part. The fourth part introduced the method of Object Oriented Programming Design and how to program chaos vibration simulating program.