Nonlinear aeroelastic analysis of airfoils: bifurcation and chaos

Different types of structural and aerodynamic nonlinearities commonly encountered in aeronautical engineering are discussed. The equations of motion of a two-dimensional airfoil oscillating in pitch and plunge are derived for a structural nonlinearity using subsonic aerodynamics theory. Three classical nonlinearities, namely, cubic, freeplay and hysteresis are investigated in some detail. The governing equations are reduced to a set of ordinary differential equations suitable for numerical simulations and analytical investigation of the system stability. The onset of Hopf-bifurcation, and amplitudes and frequencies of limit cycle oscillations are investigated, with examples given for a cubic hardening spring. For various geometries of the freeplay, bifurcations and chaos are discussed via the phase plane, Poincaré maps, and Lyapunov spectrum. The route to chaos is investigated from bifurcation diagrams, and for the freeplay nonlinearity it is shown that frequency doubling is the most commonly observed route. Examples of aerodynamic nonlinearities arising from transonic flow and dynamic stall are discussed, and special attention is paid to numerical simulation results for dynamic stall using a time-synthesized method for the unsteady aerodynamics. The assumption of uniform flow is usually not met in practice since perturbations in velocities are encountered in flight. Longitudinal atmospheric turbulence is introduced to show its effect on both the flutter boundary and the onset of Hopf-bifurcation for a cubic restoring force.     

Dirichlet边界条件低阶面无法的改进

对基于内部Ｄｉｒｉｃｈｌｅｔ边界条件的低阶面元法的速度分布提出一个改进算法。由极限过程结合高阶奇异积分的解析计算直接计算物面速度分布取代传统的偶强梯度法,以避免偶极强度边缘外推的困难。改进算法改善了ＶＳＡＥＲＯ分析中诱导阻力系数估值过低的问题。对后掠翼、前掠翼和翼身组合体等算例的计算表明,计算结果的准确度与高阶面元法相近。此外,直接积分法还可正确地计算外部流场速度分布。这是偶强梯度法不能完成的。     

一种多晶石墨的拉伸蠕变行为

对一种多晶石墨材料进行了拉伸蠕变试验后,用ＲＡＭＡＮＯＲＵ１０００拉曼光谱仪对蠕变前后的试样作了分析,并用扫描电镜观察了蠕变前后试样纵向剖面的孔隙变化。结果表明：在１７００℃,０．７ＭＰａ的应力作用下多晶石墨材料不发生明显蠕变。蠕变初期可用ε－ε０＝Ａｔｎ进行描述,在不同温度和应力下ｎ值从０．４８５～０．８之间变化。在同一应力条件下,随温度提高,ｎ值增大。激光拉曼光谱仪和扫描电镜分析表明,多晶石墨蠕变后石墨化程度增加、孔隙增多、变大。     

广义离散随机线性系统的最优调节器

讨论广义离散随机线性系统在二次型性能指标下的最优控制问题。导出的最优控制律由系统输出和部分状态的线性反馈构成,这不仅降低了滤波的黎卡提方程的阶次,显著地减少了计算量,而且在工程中也是可实现的。     

飞机总体参数与作战效能的关系研究

用计算机辅助飞机设计程序研究了飞机总体参数与作战效能的关系,并在选定的约束条件下对作战效能进行了优化设计和参数敏感性分析。研究表明,如起飞重量一定,则靠飞机性能的改善仅能使作战效能提高２０％～３０％,而装备先进雷达和中程导弹可使作战效能提高１５０％以上。     

三维复杂区域对流换热问题的控制方程及计算

研究并发展了一套计算复杂区域对流换热问题的通用方法并开发了相应的可视化计算程序。针对所建立的一组以直角坐标速度分量表示的非正交曲线坐标系下的三维流动及传热控制方程,采用有限体积方法离散,SIMPLER算法求解,并利用网格界面速度插值方法解决采用非交错网格时出现的压力波动问题。本文利用所开发的程序计算了低散热发动机冷却通道自然对流换热问题。      

附加粘弹性阻尼齿轮结构的阻尼计算

本文结合模态应变能理论与20节点有限元方法,提出了一种附加粘弹性阻尼结构损耗因子的计算模型和方法。以某实际齿轮附加阻尼结构为例,进行阻尼计算,研究了如何提高阻尼处理的效率,并得到相应实验的验证。该方法克服了已有粘弹性阻尼结构计算方法只能对简单理想结构建模的局限性,能够简便有效地应用于实际粘弹性阻尼结构的阻尼预测和优化。这对阻尼的工程应用具有较大的理论和应用价值。      

二次流动对气冷涡轮叶栅流场的影响

针对典型跨声速高压涡轮叶型平面叶栅吸力面单排孔气膜冷却,采用数值模拟方法,比较分析了加入气膜冷却前后流场变化。结果表明,由于二次流动的影响,加入气膜冷却以后吸力面后部接近下壁面处没有受到冷气保护而直接暴露于主流高温燃气,在实际高压涡轮中将极大的降低叶片寿命。没有气膜冷却情况下,吸力面接近下壁面处边界层仍有可能因受到二次流动的影响发生转捩;加入气膜冷却情况下,气膜孔中心位置下游边界层由于射流和主流的相互作用将转变为湍流边界层,而由于孔间距的影响,只有射流和主流充分掺混以后才能影响到整个叶片的范围。     

Impulsive plasma waves observed by DE-1 in the magnetosphere

Impulsive plasma waves (1–9 kHz) with durations less than 100 msec have been found in DE-1 wide-band electric field data (650 Hz – 40 kHz) received at Kashima, Japan. The waves are associated with a strong narrow-band ELF hiss, and were observed at geocentric distances from 3.1 to 4.9 Re (earth's radius) in the low-latitude nightside magnetosphere. Local electron densities and plasmapause locations estimated suggest that the waves were observed outside the nightside plasmapause. The waves are discussed in terms of Landau resonant trapping of magnetospheric electrons by the associated whistler-mode ELF hiss.     

主流逆压力梯度下气膜孔流量系数的实验

为研究主流逆压力梯度下气膜孔的几何结构和气动参数对流量系数的影响规律,采用放大模型在低速回流式风洞中进行了实验。在对比研究圆柱孔和双向扩张孔流量系数基础上,重点研究了双向扩张孔的流量系数。结果表明,双向扩张孔的流量系数比圆柱孔的流量系数高。前倾角越大,流量系数越高;径向角越大,流量系数越高。流量系数随动量比的增加而增高,在动量比小于4时增幅尤其明显。主流湍流度增大使流量系数增大,动量比越小,增幅越大。除了在孔轴线与平板的夹角较大情况外,密度比对流量系数的影响较小。