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

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Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (11) : 54-56.

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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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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.

Key words

thermal flutter / Hopf bifurcation / normal form direct method / control

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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