流动致振引出的非线性四阶微分方程周期解的存在性研究

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The Existnece of Periodic Solution of the Fourth Ordinary Non-Linear Differential Equation Caused by Flow-induced Vibration

摘要: 流动引起的振动问题是力学上比较着名的问题。本文应用一些不动点的基本原理研究了这一问题,并给出了周期解存在性条件和尾流振动方程周期解存在的参数范围；另外,在周期解的稳定性及渐近表达方面也做了一些工作,获得一些结果。
- 流动致振 /
- 周期解存在性 /
- 参数范围
Abstract: The vortex-induced vibration is a well-known problem in mechanics,In this paper,with the help fixed point principle, we study. this problem and find the existencecondition of the periodic solution as well as the region of parameters.
- vibration nonlinear differential /
- periodic solution Schauder’s principle /
- characteristic equation results by computer

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