| Citation: | CONG Rongfei, YE Youda, ZHAO Zhonglianget al. Numerical simulation of coupling motion of an air-breathing hypersonic vehicle[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(9): 1780-1789. doi: 10.13700/j.bh.1001-5965.2020.0313(in Chinese)
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In order to study the dynamic stability of an air-breathing hypersonic vehicle under coupling motion of pitch/roll, based on the aerodynamic/kinematic coupling numerical simulation method and theoretical analysis, the numerical simulation of forced pitch/free roll coupling motion of an air-breathing hypersonic vehicle with an inlet similar to the SR-72 configuration was carried out. The results show that the dynamic equation of the roll channel under the coupled motion of forced pitch/free roll motion can be simplified to the damped Mathieu equation, and the stability boundary can be obtained. Theoretical analysis shows that the dynamic stability of the roll channel is related to the angular frequency of pitch oscillation. There are two critical angular frequencies around the natural angular frequency of the aircraft roll oscillation. When the angular frequency of pitch oscillation is between the two critical angular frequencies, the roll channel is dynamically unstable. When the pitch amplitude is small, the numerical simulation results are in good agreement with the theory, but there is a certain deviation between the actual critical angle frequency and the theoretical value. The numerical simulation results show that with the increase of pitch amplitude, the angular frequency range resulting in rolling divergence becomes wider and shifts to higher frequencies.
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