含空腔的两端固定壁板的发散失稳研究

Study on Divergent Instability of Fixed Panel with Cavity at Two Ends

本文针对含有空腔的两端固定壁板模型的发散失稳进行了研究,基于势流理论、薄翼理论、Galerkin法等理论方法,建立了一种简化的失稳模态求解方式,计算了不同边界条件(简支-简支、简支-固支、固支-固支)下空腔壁板的失稳边界,并对流体黏性、湍流度、空腔壁面对失稳边界的影响进行了分析。结果表明,低雷诺数(Re)下流体黏性较大,对壁板产生较强增稳作用,当Re>>2 000时可以合理忽略黏性作用;湍流度对系统失稳边界有较强影响;该种空腔壁板工况下,空腔体壁面对失稳流速影响微弱。

In this paper,the aeroelastic stability of cavity panel is analyzed.Based on potential flow theory,thin-wing theory and Galerkin method,a simplified method for solving instability modes is suggested,the instability boundary of the cavity panel under different boundary conditions(simple support-simple support,simple support-fixed support,fixed support-fixed support)is calculated,and the influence of many non-ideal factors(viscosity,turbulence,cavity wall)on instability boundary is analyzed.The result shows that at low Reynolds number(Re),the viscosity of fluid has evident stabilizing effect on the panel,however the viscous effect can be ignored only when Re 2000.The turbulence of fluid has strong influence on the critical velocity and the cavity wall has little influence on the instability boundary of the cavity panel.