用Normal Form直接法研究壁板的热颤振与控制

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (11) : 54-56.

论文

用Normal Form直接法研究壁板的热颤振与控制

赵秀芳1，曹树谦1,2,3

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Thermal flutter and control of a panel using normal form direct method

ZHAO Xiu-fang1 , CAO Shu-qian1,2,3

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文章历史 +

摘要

建立了二维受热壁板在超音速气流中的颤振方程。运用分岔理论求得了系统的Hopf分岔点，应用Normal Form直接法计算得到系统Hopf分岔Normal Form系数。引入wash-out滤波器技术对壁板热颤振进行了主动控制，延迟系统Hopf分岔的产生而不改变分岔类型。最后采用数值模拟验证了理论分析。

Abstract

The flutter equation of a two-dimensional heated panel in supersonic airflow is established. The bifurcation theory is used to derive Hopf bifurcation point of the system, and the Normal Form of Hopf bifurcation point is calculated according to the normal form direct method. The washout filter technique is introduced to control thermal flutter actively and to postpone the generation of Hopf bifurcation without changing the bifurcation type. The numerical simulations confirm the analytical results.

导出引用

赵秀芳;曹树谦;. 用Normal Form直接法研究壁板的热颤振与控制[J]. 振动与冲击, 2012, 31(11): 54-56

ZHAO Xiu-fang;CAO Shu-qian;. Thermal flutter and control of a panel using normal form direct method[J]. Journal of Vibration and Shock, 2012, 31(11): 54-56