A nonlinear equivalent circuit method for analysis of passive intermodulation of mesh reflectors

Passive intermodulation(PIM) has gradually become a serious electromagnetic interference due to the development of high-power and high-sensitivity RF/microwave communication systems, especially large deployable mesh reflector antennas. This paper proposes a field-circuit coupling method to analyze the PIM level of mesh reflectors. With the existence of many metal–metal(MM) contacts in mesh reflectors, the contact nonlinearity becomes the main reason for PIM generation. To analyze these potential PIM sources, an equivalent circuit model including nonlinear components is constructed to model a single MM contact so that the transient current through the MM contact point induced by incident electromagnetic waves can be calculated. Taking the electric current as a new electromagnetic wave source, the far-field scattering can be obtained by the use of electromagnetic numerical methods or the communication link method. Finally, a comparison between simulation and experimental results is illustrated to verify the validity of the proposed method.     

含非线性联接的组合结构动态子结构分析

 本文研究由非线性隔振器耦联线性子结构形成的组合结构的动响应预估。基于实测子结构的脉冲响应函数,建立了组合结构的对接边界积分型动力学方程;找到了将其转化为标准常微分方程组的途径;用实验考核了上述方法。     

大挠度复合材料柔性梁的静力学分析与试验

提供了一种处理具有结构耦合的大挠度复合材料柔性梁的分析方法。在将三维弹性问题分解为二维线性剖面特性分析和一维非线性分析的基础上，采用有限元法计算梁的二维剖面刚度特性，编制了具有多个单元库的程序软件，它能有效地处理复杂剖面形状，对参考剖面点的翘曲位移未加任何限制；一维非线性分析时用Ｅｕｌｅｒ角描述梁的空间变形位置，建立的非线性微分方程组适用于任意大变形情况。文中给出了详细的分析与试验结果，并着重分析和试验了根部安装角分别为０°，４５°的两种情况，揭示了结构耦合对变形的影响，试验与分析具有良好的一致性，表明本文方法及处理简便、可行。     

基于神经网络的非线性自适应输出反馈控制

针对能够采用仿射非线性表示的含有未建模动态的SISO非线性系统，讨论了一种基于神经网络的自适应控制方法，该方法对受控对象的已知部分，有用反馈线性化方法设计控制器，用神经网络在线补偿未建模动态及外部干扰等引起的误差，从而实现自适应控制。对具有未建模动态的双车倒立摆设计了输出反馈自适应控制系统，仿真表明该方法是有效的。     

侧向随动力作用下大展弦比柔性机翼的稳定性

 随动力能够诱发弹性结构发生颤振失稳。以侧向随动力和集中质量分别模拟发动机推力和外挂质量,考虑机翼垂直弯曲-扭转刚度比、集中质量大小、侧向随动力和集中质量的位置以及机翼后掠角和上反角的影响,研究了受侧向随动力作用的大展弦比柔性机翼的气动弹性稳定性。数值模拟所采用的大展弦比柔性机翼非线性气动弹性模型耦合了几何精确完全本征运动梁模型和ONERA动失速非定常气动力模型,该模型考虑了几何非线性、动失速和材料各向异性。模拟结果表明,侧向随动力对机翼颤振可以具有稳定作用,其具体表现依赖于若干变参数的影响,如：减小机翼垂直弯曲-扭转刚度比;发动机吊舱靠近翼根布置;使发动机推力作用点在法向上与机翼弹性轴靠近;单纯的集中质量避免布置在柔性机翼中部,且布置在机翼弹性轴之前或下方,这些设计或布置均有利于提高带发动机吊舱/有效载荷外挂的柔性机翼的气动弹性稳定性。     

Nonlinear flutter wind tunnel test and numerical analysis of folding fins with freeplay nonlinearities

The flutter characteristics of folding control fins with freeplay are investigated by numerical simulation and flutter wind tunnel tests. Based on the characteristics of the structures, fins with different freeplay angles are designed. For a 0° angle of attack, wind tunnel tests of these fins are conducted, and vibration is observed by accelerometers and a high-speed camera. By the expansion of the connected relationships, the governing equations of fit for the nonlinear aeroelastic analysis are established by the free-interface component mode synthesis method. Based on the results of the wind tunnel tests, the flutter characteristics of fins with different freeplay angles are analyzed. The results show that the vibration divergent speed is increased, and the divergent speed is higher than the flutter speed of the nominal linear system. The vibration divergent speed is increased along with an increase in the freeplay angle. The developed free-interface component mode synthesis method could be used to establish governing equations and to analyze the characteristics of nonlinear aeroelastic systems. The results of the numerical simulations and the wind tunnel tests indicate the same trends and critical velocities.     

完全非线性近似逆及其在轨迹跟踪中的应用

非线性系统输出跟踪问题在理论和实际中都具有十分重要的意义。人们对此问题进行了大量地研究和广泛地应用。但是所有的研究对象一般都要求仿射型非线性系统，以便容易解出相应的控制输入。对于一般的完全非线性系统，由于没有控制输入的显性表达式，很难得到相应的结果。本文讨论了完全非线性系统的输出跟踪问题，在理论上研究了完全非线性系统逆的存在性。利用神经网络可逼近任意 Ｌ２ 函数的特性，提出了求解完全非线性系统逆近似控制律的方法，并由此研究了完全非线性飞机模型的轨迹跟踪问题。通过对飞机轨迹跟踪问题的仿真，表明该方法是切实可行的。     

具有面内剪切非线性复合材料层板的1/4亚谐共振

利用Ｖｏｎ Ｋａｒｍ ａｎ 薄板大挠度理论和Ｈａｈｎ－Ｔｓａｉ本构方程研究了四边简支、一对边受压缩动载荷的（０／９０）ｓ 对称铺设正交各向异性矩形层合板的参数振动问题。利用奇异性理论着重讨论了１／４ 亚谐共振时板的各种可能的分叉行为，分析了面内剪切非线性特性对参数共振和分叉曲线的影响，得到了一些新结果。     

复合材料帽形加筋壁板剪切屈曲性能

对碳纤维增强树脂基复合材料（CFRP）帽形加筋壁板的剪切屈曲进行了试验、理论分析和数值模拟。根据线弹性理论推导了复合材料帽形加筋壁板蒙皮的应变分布；针对复合材料帽形加筋壁板3种蒙皮板条单元截取宽度和两种边界条件，利用理论公式和半经验公式计算了加筋壁板的剪切屈曲载荷；利用特征值法和几何非线性法进行了剪切屈曲模拟分析；将得到的分析结果与试验结果进行了对比。结果表明：根据线弹性理论得到的蒙皮应变分布与试验结果一致，验证了推导结果的正确性；选择合适的边界条件和蒙皮板条单元截取宽度，利用理论公式和半经验公式可得到加筋壁板较准确的屈曲载荷；利用特征值法得到的屈曲载荷较试验屈曲载荷高，选择合适的几何初始缺陷系数利用几何非线性分析方法可模拟复合材料帽形加筋壁板在剪切载荷作用下的屈曲过程。     

Bifurcation in a 3-DOF Airfoil with Cubic Structural Nonlinearity

Limit cycle oscillations (LCOs) as well as nonlinear aeroelastic analysis of a 3-DOF aeroelastic airfoil motion with cubic restoring moments in the pitch degree of freedom are investigated.Aeroelastic equations of an airfoil with control surface in an incompressible potential flow are presented in the time domain.The harmonic balance (HB) method is utilized to calculate the LCO frequency and amplitude for the airfoil.Also the semi-analytical method has revealed the presence of stable and unstable limit cycles,along with stability reversal in the neighborhood of a Hopf bifurcation.The system response is determined by numerically integrating the governing equations using a standard Runge-Kutta algorithm and the obtained results are compared with the HB method.Also the results by the third order HB (HB3) method for control surface are consistent with the other numerical solution.Finally,by combining the numerical and the HB methods,types of bifurcation,be it supercritical,subcritical,or divergent flutter area are identified.