摘要
将一种新型振动机构抽象为双摆的数学力学模型,分别运用矩阵QR分解法、小球演化法以及奇异值分解法,结合计算机代数系统Mathematica,计算了模型的Lyapunov指数.结果表明:3种方法的计算结果基本一致,从而说明了物理双摆的混沌特征,并为双摆在工程设计中的应用提供了有价值的参考.
A new type of vibration generator was abstracted to the mathematical model of double-body pendulum. Three methods such as QR-decomposition, small-sphere-evolvement and singular-value-decomposition were used respectively in calculating the Lyapunov exponents of the model with Mathematica. The results showed that the results of three method were basically uniform and the chaotic properties of the double-body pendulum was indicated. All the results would be useful for engineering design.
出处
《天津工业大学学报》
CAS
北大核心
2014年第2期85-88,共4页
Journal of Tiangong University
基金
天津应用基础研究资助项目(013604611)
