孤立波的存在性及轨道稳定性

给出一个具有物理意义的系统,研究该系统是否有孤立波,并研究在什么情况下,该孤立波是轨道稳定的.     

Insensitive energetic microspheres DAAF/RDX fabricated by facile molecular self-assembly

Insensitive energetic materials are promising in the defense weapons field. However, energetic materials still suffer from great challenges and the concern about their safety limits their utilization. In this work, insensitive energetic explosive 3,3′-diamino-4,4′-azoxyfurazan/hexahydro-1,3,5-trinitro-1,3,5-triazine (DAAF/RDX) microspheres were fabricated by self-assembly method. Rod-like DAAF/RDX was prepared by mechanical ball milling for comparison. DAAF/RDX composites with different mass ratios (90:10, 80:20, and 70:30) were obtained. The morphologies and structures of as-obtained DAAF/RDX composites were characterized by scanning electron microscopy (SEM), powder x-ray diffraction (PXRD) and fourier transform infrared spectroscopy (FT-IR). The results showed that DAAF/RDX microspheres exhibited regular shaped microspheres with sizes from 0.5 to 1.2 μm. There was no crystal transition during the modification process. The thermal properties of as-obtained materials were then evaluated by differential scanning calorimetry (DSC) and materials studio software. DAAF/RDX microspheres showed an advanced decomposition peak temperature compared with rod-like DAAF/RDX. The binding energy and peak temperature values at zero β_i (T_P0) of DAAF/RDX (90:10) increased by 36.77 kJ/mol, 1.6 °C, and 58.11 kJ/mol, 12.3 °C compared to DAAF/RDX (80:20) and DAAF/RDX (70:30), indicating the better thermal stability of DAAF/RDX (90:10). The characteristic drop height (H₅₀) of DAAF/RDX (higher than 100 cm) composites was higher than that of raw RDX (25 cm), suggesting significant improvements in mechanical safety. The preparation of DAAF/RDX microspheres is promising for the desensitization of RDX and useful for the formation of other materials and future wide applications.     

Preparation and characterization of HMX/EVA/hBNNSs micro-composites with improved thermal stability and reduced sensitivity

Hexagonal boron nitride nanosheets(HBNNSs)have huge potential in the field of coating materials owing to their remarkable chemical stability,mechanical strength and thermal conductivity.Thin-layer hBNNSs were obtained by a liquid-phase exfoliation of h-BN powders and incorporated into EVA coatings for improving the safety performance of 1,3,5,7-tetranitro-1,3,5,7-tetrazocane(HMX).HBNNSs and ethylene-vinyl acetate copolymer(EVA)were introduced to HMX by a solvent-slurry process.For com-parison,the HMX/EVA and HMX/EVA/graphene(HMX/EVA/G)composites were also prepared by a similar process.The morphology,crystal form,surface element distribution,thermal decomposition property and impact sensitivity of HMX/EVA/hBNNSs composites were contrastively investigated.Results showed that as prepared HMX/EVA/hBNNSs composites were well coated with hBNNSs and EVA,and exhibited better thermal stability and lower impact sensitivity than that of HMX/EVA and HMX/EVA/G composites,suggesting superior performance of desensitization of hBNNSs in explosives.     

一类具有时滞的捕食系统的稳定性与Hopf分支

研究一类具有时滞的两种群捕食系统,通过分析特征方程讨论了正平衡点的局部稳定性问题。通过构造适当的Lyapunov泛函,得到了保证系统正平衡点全局渐近稳定的充分条件,并讨论了在正平衡点附近Hopf分支的存在性问题。     

测控站布局对区域卫星导航系统的影响

建立区域卫星导航系统的测控网是卫星导航系统要解决的关键问题之一。讨论国内测控站的布设问题,采用网格计算方法分析国内测控站对导航星座的可观测性。引入位置精度衰减因子PDOP和定轨中的法矩阵条件数,分析测控网对导航星座的观测几何结构强度以及测站位置分布对轨道确定精度的影响,仿真结果表明,利用我国有限的国土跨度和航天测控资源可以确保对导航卫星的测控任务的完成。对在国外布设测控站进行讨论和仿真,结果说明位于国外的测控站(如可在澳大利亚的珀斯设站)的加入能明显改善观测的几何结构强度、提高导航卫星的轨道精度。     

稳健的数字IIR滤波器设计

利用级联型模拟椭圆滤波器设计方法、双线性模拟—数字滤波器变换方法和数字滤波器频带变换方法,设计了一种简便、稳健的级联型数字IIR滤波器。通过设定合理的频带变换参数,保证了该滤波器的稳定性;通过采用经验最优零、极点组织零、极点配对方法,可使该滤波器内部幅度限最小。最后给出了一个级联型数字椭圆带阻滤波器的设计实例。     

复合材料组合梁的分布参数传递函数法分析模型

应用分布参数传递函数法分析了复合材料组合梁在轴压载荷作用下的振动与稳定性问题。通过引入对偶变量，利用Ｌｅｇｒｅｎｄｒｅ 变换和Ｌａｐｌａｃｅ 变换，建立了可进入Ｈａｍ ｉｌｔｏｎ 体系的混合能量变分原理，并推导出了结构在复频域内的状态空间控制方程， 从而得到了任意边界条件下组合梁振动与稳定性问题的传递函数精确解。分析了一阶和高阶横向剪切变形、转动惯量、细长比、材料各向异性等多种因素对组合梁固有频率和屈曲载荷的影响。文中最后给出了数值算例， 验证了本方法的有效性和适应性。     

钝倒锥体动导数数值工程模拟

分别采用求解非定常薄层近似的N－S方程数值模拟有粘扰动流场及非定常内伏牛顿流理论计算了钝倒锥外形的高超声速俯仰阻尼导数Cma＋Cmq。在非定常计算中通过引入“亚迭代”过程提高非定常流场的计算精度。两种方法计算结果一致，数值计算可应用于3＜M＜20，0°＜α＜20°时的一般流态俯仰阻尼导数计算。     

双机械手对称式协调力控制稳定性分析

本文利用双机械手协调内力和外力控制系统的简化模型，分析了在双手紧夹持物体与环境接触时，１） 机械手等效电机的动态特性；２） 双手所夹持物体的刚度；３） 双手所操作物体的动态特性；４） 机械手的采样控制延时；５） 双手的非对称性等系统未建模因素对双手对称式协调外力和内力控制稳定性的影响，并给出仿真结果。此结果与实验结果基本相符。     

基于零动态设计原理的刚体姿态控制

采用四元数,古典的Rodrigues参数和修改的Rodrigues参数来描述刚体旋转运动.基于微分几何中的零动态设计原理,首先构造一个输出映射,使系统具有相对阶{1,…,1}且零动态渐近稳定.然后求出一类反馈控制器,使得系统部分线性化为一指数稳定的线性方程.仿真结果表明,所求控制器能使闭环系统稳定.