Engineering Creativity Award: Chaotic Vibration in a Nonlinear System

本研究采用实验、分析和理论相结合的方法，研究了Duffing方程所描述的非线性系统的混沌振动。重点放在非线性振动分析上。探索能量概念是导出混沌标准的一种方式。研究了周期运动态的能级与方程参数--阻尼力、强迫函数的振幅和频率之间的关系。这个项目是工科本科生创造力奖的资助项目。

The research involves experimental analytical and theoretical methods in the study of chaotic vibration in a nonlinear system described by Duffing's equation. Emphasis is on nonlinear vibration analysis. Energy concepts are explored as a way to derive chaotic criteria. The relationships are investigated between the energy levels of the states of periodic motion and the equation parameters: damping, and the amplitude and frequency of the forcing function. This project is one supported under the Creativity Awards for Undergraduate Engineering Students.