刘成, 叶正寅. 超声速物面振动气动力的非线性效应研究[J]. 空气动力学学报, 2018, 36(6): 1027-1033. DOI: 10.7638/kqdlxxb-2018.0057
引用本文: 刘成, 叶正寅. 超声速物面振动气动力的非线性效应研究[J]. 空气动力学学报, 2018, 36(6): 1027-1033. DOI: 10.7638/kqdlxxb-2018.0057
LIU Cheng, YE Zhengyin. Aerodynamic nonlinearity for surface vibration in supersonic flow[J]. ACTA AERODYNAMICA SINICA, 2018, 36(6): 1027-1033. DOI: 10.7638/kqdlxxb-2018.0057
Citation: LIU Cheng, YE Zhengyin. Aerodynamic nonlinearity for surface vibration in supersonic flow[J]. ACTA AERODYNAMICA SINICA, 2018, 36(6): 1027-1033. DOI: 10.7638/kqdlxxb-2018.0057

超声速物面振动气动力的非线性效应研究

Aerodynamic nonlinearity for surface vibration in supersonic flow

  • 摘要: 研究了超声速物面振动中气动力非线性的主要来源,分析了影响非线性效应的主要因素。首先建立考虑激波膨胀波的活塞理论,将其计算结果与活塞理论、Euler方程的结果进行对比,明确了活塞理论高阶项所代表的物理意义。同时研究活塞理论在具有单侧气流的壁板振动以及具有双侧气流的物面振动中的应用,分析这两种不同研究对象的气动力非线性效应。探究了振动频率对气动力非线性的影响规律,重新标定了线性活塞理论的应用范围。得出主要结论:(1)超声速物面振动过程中产生的激波膨胀波是气动力非线性的主要来源,壁板模态的对称性加剧了这种非线性效应;(2)在具有双面超声速气流的物面振动中,气动力的非线性效应显著减弱;(3)活塞理论的高阶项的物理意义是激波膨胀波带来的非线性效应,这种非线性效应随振动频率的增长先减弱后加强。

     

    Abstract: This paper studies the major source of aerodynamic nonlinearity for surface vibration in supersonic flow and analyses the main factors affecting the nonlinear utility. Firstly, a piston theory considering shock wave and expansion wave (SE-PT) is established. Through comparing the calculated results from the SE-PT with the results from conventional piston theory and Euler equations, the physical significance of the high-order term in the piston theory is clear. We study the application of the piston theory to panel vibrations in single and double side air flow and analyze the aerodynamic nonlinear utilities. The method how the vibration frequency influences the aerodynamic nonlinearity is further explored, and the application scope of the linear piston theory is redefined. The major conclusions are given as follows:(1) the aerodynamic nonlinearity comes from shock and expansion waves for the supersonic surface vibration, which can be strengthened by the symmetry of panel modal; (2) the nonlinearity utility is apparently weakened in double-side supersonic flow; (3) the physical significance of the high-order term in the piston theory is nonlinear utility coming from shock and expansion waves, which is firstly weakened and then strengthened with the increase of vibration frequency.

     

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