Aeroelastic stability analysis of heated flexible panel subjected to an oblique shock

The critical conditions for aeroelastic stability and the stability boundaries of a flexible two-dimensional heated panel subjected to an impinging oblique shock are considered using theoretical analysis and numerical computations, respectively. The von-Karman large deflection theory of isotropic flat plates is used to account for the geometrical nonlinearity of the heated panel, and local first-order piston theory is employed in the region before and after shock waves to estimate the aerodynamic pressure. The coupled partial differential governing equations, according to the Hamilton principle, are established with thermal effect based on quasi-steady thermal stress theory. The Galerkin discrete method is employed to truncate the partial differential equations into a set of ordinary differential equations, which are then solved by the fourth-order Runge-Kutta numerical integration method. Lyapunov indirect method is applied to evaluate the stability of the heated panel. The results show that a new aeroelastic instability (distinct from regular panel flutter) arises from the complex interaction of the incident and reflected wave system with the panel flexural modes and thermal loads. What’s more, stability of the panel is reduced in the presence of the oblique shock. In other words, the heated panel becomes aeroelastically unstable at relatively small flight aerodynamic pressure.     

采用分布式压电驱动器的翼面热颤振主动抑制

高超声速气动加热会严重影响飞行器结构的颤振特性,本文开展了采用分布式压电驱动器的热颤振主动抑制方法研究。以某飞行器小展弦比翼面为研究对象,进行了常温和热载荷边界条件下的结构振动和颤振分析。在此基础上,对频域非定常气动力进行有理函数拟合,建立包含压电驱动器的翼面耦合结构系统状态空间形式的运动方程;对典型热载荷边界条件下的被控对象设计颤振主动抑制控制律,分别设计出LQG及PID控制器;对比分析了系统开、闭环颤振特性。结果表明,通过主动控制律的实施,达到了热颤振主动抑制的目的,验证了这种颤振主动抑制方法的有效性     

功能梯度材料薄板的热气动弹性数值分析方法及特性研究

对高超声速环境中功能梯度薄板的热气动弹性问题的有限元数值分析方法和特性进行了研究。在考虑了沿板厚方向上非线性温度分布影响基础上,建立了更为精确的功能梯度薄板的热气弹耦合力学模型。采用Eckert参考温度法模拟气动加热效应,进而使用有限元方法求解热传导方程,得到薄板内部的热应力以及物性参数分布,并求解功能梯度材料薄板的控制方程,得到薄板在热应力-气动力-弹性力耦合下的振动特性。结果表明,所提出的基于有限元的数值分析方法能够有效处理该问题的复杂性,并且发现气动加热效应能够使薄板发生热屈曲或者提前进入振动状态,此外还发现当无量纲气动力位于某一“过渡区”内时,薄板行为对初值异常敏感。最后,建立的功能梯度薄板热气弹耦合模型以及相关数值求解方法,能够有效地研究高超声速环境中功能梯度材料薄板的振动行为,相关数值结果对功能梯度薄板的热气弹研究也具有借鉴意义。     

大攻角翼面超声速热颤振分析

分析了大攻角超声速翼面气动加热条件下的热颤振。根据模态叠加法建立颤振运动方程,用当地流活塞及小扰动线性化理论分别计算超声速区和亚声速区的非定常气动力,状态空间法与Runge-Kutta法结合仿真求解结构动响应。给出的两个工程实例计算结果表明,该方法计算精度可满足工程要求。另外还讨论了气动加热效应对颤振的影响。