变势能阱双稳态气动弹性能量收集的性能增强研究

提出一种新型的磁耦合变势能阱双稳态压电颤振能量收集器，设计了外部磁场作用下颤振能量收集系统的双稳态构型，并利用弹性支撑的外部磁铁的运动实现了变势能阱技术，解释了变势能阱双稳态对颤振能量收集系统的性能增强机理。建立了磁力-压电-气动弹性耦合的颤振能量收集系统的动力学分析模型，根据非线性磁偶极模型以及平衡点稳定性理论，讨论了系统出现双稳态构型的参数条件。对磁耦合双稳态颤振能量收集系统的动态特性进行了数值仿真研究，结果显示，双稳态构型能够使无磁力颤振能量收集系统的超临界颤振行为转变为亚临界颤振，发生极限环振动的风速能够降低50%以上，拓宽了能量收集器的有效工作风速范围，并分析了磁铁间距、磁偶极矩对能量收集性能的影响规律。采用弹性支撑的外部磁铁的运动来自适应调节内外部磁铁之间的距离，达到变势能阱的目的，有效地降低了双稳态的势能阱深度，使系统更容易发生双稳态势能阱间的跃迁运动，从而在双稳态的设计基础上，实现了能量收集工作风速范围和输出电功率的同步提升，为低风速下的能量收集提供了一种有效的设计途径。     

Variation of dayside chorus waves associated with solar wind dynamic pressure based on MMS observations

The whistler-mode chorus waves are one of the most important plasma waves in the Earth’s magnetosphere. Generally, the amplitude of whistler-mode chorus waves prefers to strengthen when the energetic fluxes of anisotropic electrons increase outside the plasmapause. This characteristic is commonly associated with the geomagnetic storms or substorms. However, the relationship between the solar wind dynamic pressure (P_sw) and the long-time variation of chorus waves during the quiet period of the geomagnetic activity still needs more detailed investigations. In this paper, based on MMS observations, we present a chorus event just observed in the inner side of magnetopause without obvious geomagnetic storms or substroms. Interestingly, during this time interval, some P_sw fluctuations were recorded. Both the amplitudes and frequencies of chorus waves changed as a response to the variation in P_sw. It proved that the enhancement of P_sw increases the energetic electrons fluxes, which provides free energies for the chorus amplification. Furthermore, the wave growth rates calculated using linear theory increases and the central frequency of the chorus waves shifts to a higher frequency when the P_sw enhancement is greater, which are also consistent well with the observations. The results provide a direct evidence that the P_sw play an important role in the long-time variation of whistler-mode chorus waves inside the magnetopause.     

FDI飞机舵面损伤故障全局检测的非线性数学模型

阐述了飞机在单舵面损伤故障下 ,建立故障状态下的数学模型 ,以及同样输入条件下飞机正常运动时的数学模型 ,得到飞机在相同飞行条件下损伤时的气动系数和无损伤正常时的气动系数 ,最终得到气动系数的残差。这将为以后飞机过载残差和角加速度残差奠定基础。论文中结合一定的算例给予证实推论的正确性。     

一类非线性边值问题的激波解

研究了一类非线性奇摄动方程。首先得到了外层解，利用特异极限阶定了激波层的几种可能位置，对激波层的几种不同位置利用伸长变量构造出内层解。最后利用匹配原则求出了原方程在整个区间上的渐进解。     

质量矩导弹的神经网络及自适应非线性控制

本文对质量矩控制导弹的动力学方程简化和控制系统的设计进行了研究。详细阐述了所提出的控制方法，介绍了径向基单隐层神经网络进行误差补偿的算法原理，用Lyapunov理论证明了所采用方法的稳定性。在给出了质量矩导弹的六自由度动力学方程和简化后的方程后，用所提出的方法设计控制系统。通过仿真分析，得出了本文所提出的方法具有较好的误差补偿能力的结论。     

Phase coherence of MHD waves in the solar wind

Large amplitude MHD waves are commonly found in the solar wind. Nonlinear interactions between the MHD waves are likely to produce finite correlation among the wave phases. For discussions of various transport processes of energetic particles, it is fundamentally important to determine whether the wave phases are randomly distributed (as assumed in quasi-linear theories) or they have a finite coherence. Using a method based on a surrogate data technique and a fractal analysis, we analyzed Geotail magnetic field data (provided by S. Kokubun and T. Nagai through DARTS at the Institute of Space and Astronautical Science) to evaluate the phase coherence among the MHD waves in the earth's foreshock region. The correlation of wave phases does exist, indicating that the nonlinear interactions between the waves is in progress. This revised version was published online in August 2006 with corrections to the Cover Date.     

声重波激发的赤道Spread—F的拓扑特性研究

本文对声重波激发的Spread-F扰动的非线性制约方程的拓扑特性进行了定性讨论和数值计算．研究了Spread-F的混沌特征及参数范围．结果表明声重波在不同条件时对Spread-F的激发作用有本质的不同．     

太阳风质子束流的演化

太阳神飞船观测表明，太阳风高速流中质子束分量相对于核分量的密度随日心距离增加而增加．提出解释这一观测现象的机理并给出二维数值模拟结果．由于阿尔芬波速随日心距离增加而减少，第二支左旋波将与更多的质子共振，把部分原来属于核分布的质子拉到束分布中来．用数值模拟方程方法求解回旋波共振导致的准线性扩散方程，数值结果与观测结果相符合．     

A Nonlinear Sub-grid Scale Model for Compressible Turbulent Flow

本文采用直接过滤的Navier-Stokes方程组作为可压缩湍流大涡模拟控制方程组。方程组中因过滤产生的高阶相关项用Taylor级数展开近似,但仅保留级数的一阶导数项。这样产生的误差相当于丢失了模型的部分耗散作用,本文用一种动力学非线性亚格子模型来补偿丢失的耗散影响。本文根据Caylay-Hamilton定理导出了一个非线性亚格子模型,模型中包含的系数由动力学模式确定。与传统的动力学Smagorinsky模式相比,这种动力学非线性模型(DNM)稳定性更好,且不需要在统计均匀方向进行统计平均来计算模型系数,因此减少了计算开销。本文用这种非线性亚格子模型对绕双椭球高超声速湍流进行了模拟,并将所得结果与实验值、计算值及理论值进行了对比。结果表明,本文模型可以有效地模拟可压缩湍流流场。