基于连杆轴承周期性外力驱动的混沌摆演示装置

Chaotic Pendulum Presentation Device Driven by Periodic External Forces on Connecting Rod Bearing

混沌理论复杂抽象,一般情况下以模拟研究居多。为此,本文通过搭建周期性外力驱动的复摆系统,采用无触点角度传感器采集数据,经AD转换后将数据实时传输到计算机,利用LabVIEW软件编程进行数据处理与分析,进而简单、直观地展现出混沌现象。通过调节系统的参数,描绘了无驱动及有驱动外力下的复摆系统运动的角度时序图、角速度时序图及相图,借此详细讨论了混沌系统所表现出的初值敏感性以及系统由周期走向混沌的全过程,实现了混沌现象的定量分析。

that most of the studies for it are simulate.Thereby,in this passage,a compound pendulum system driven by periodic external forces is built.The data are collected by the contactless Angle sensor and transmitted to the computer in real time after being transformed by AD.LabVIEW software is also used for data processing and analysis so as to show chaos phenomenon in a simple and intuitionistic way.By adjusting the parameters of the system,the angular timing sequence diagram,angular velocity timing sequence diagram and phase diagram of the complex pendulum system moving without driving force and with driving force are described.The sensitivity of initial value and the entire process of the changing of the system from period to chaos are discussed in detail,which realizes the quantitative analysis of chaotic phenomena.