A CONCISE M-METRIC LEAST SQUARE FORMULA FOR POLYNOMIAL ANALOGY

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灭火飞机投水动响应特性

大型灭火飞机投水飞行时,短时间内大吨位水量的投放会引起载机的动力响应问题.为此,采用小孔出流理论进行飞机投水量的数值模拟,以静气动弹性配平结果为初始条件,考虑飞机的刚体模态和弹性模态,用最小状态拟合技术进行非定常气动力建模,分析了飞机投水飞行时的响应特性；并以投水结束后的飞行状态为初始条件,以飞行操纵产生的舵偏角为输入,分析了飞机退场爬升时的响应特性.结果显示,灭火飞机投水时,飞行姿态和载荷会发生较小变化；退场爬升时,飞行姿态和载荷会发生显著变化.分析结果为大型灭火飞机的结构设计和飞行操纵提供了参考.     

区间贝齐尔曲面的逼近(英文)

根据摄动理论,提出一种使用最小能量法的区间贝齐尔曲面逼近有理曲面的方法。该方法采用了恰当的范数,可以对摄动曲面以较多的限制,并通过实例演示了该方法的应用。实验可以与细分技术相结合,得到有理曲面的分片区间多项式的逼近。     

乙烯简化化学动力学模型在HIFiRE燃烧室计算中的应用

为评估化学反应动力学模型对超燃冲压发动机计算结果的影响,首先利用基于"准稳态"假设方法建立了复杂化学反应动力学模型简化软件包(SPARCK),从详细模型出发得到了一个包含20组分16步总包反应的乙烯简化动力学模型.然后采用该简化模型和Princeton大学的简化模型对乙烯点火延迟时间进行了计算,对比显示两个简化模型计算结果基本一致,与实验测量结果均吻合较好,都能准确反映乙烯点火特性.但对HIFiRE燃烧室直连式实验的数值模拟结果显示两个模型计算得到的燃烧流场静温分布差别较大,内流道推力性能相差近12%.相比于Princeton大学的简化模型,SPARCK软件得到的简化模型计算的壁面压力分布与实验结果吻合更好,能够准确描述燃烧室流场现象.     

机载220 GHz云雷达衰减订正模拟试验

针对220 GHz云雷达回波信号的衰减问题，结合典型云滴谱和云参数，对水云和冰云模拟取样2 100次，应用离散偶极子近似法计算了220 GHz云雷达探测云滴粒子的衰减系数kc和雷达反射率因子Z的关系。在考虑大气和云对220 GHz云雷达信号衰减的基础上，对水云和冰云的机载220 GHz雷达回波强度进行了数值模拟，根据得到的kc-Z关系，进行衰减订正的模拟试验。结果表明:水滴云比冰晶云的衰减系数大2~3个数量级;相对于小粒子的水云和冰云，大气吸收是造成机载220 GHz云雷达衰减的主要原因。高频段的雷达信号在传播路径上的衰减非常明显，本研究中给出的kc-Z关系适用于220 GHz频率雷达的云衰减订正计算。     

Proactive optimization of transmission power and 3D trajectory in UAV-assisted relay systems with mobile ground users

In this paper, an Unmanned Aerial Vehicle (UAV)-assisted relay communication system is studied, where a UAV is served as a flying relay to maintain a communication link between a mobile source node and a remote destination node. Specifically, an average outage probability minimization problem is formulated firstly, with the constraints on the transmission power of the source node, the maximum energy consumption budget, the transmission power, the speed and acceleration of the flying UAV relay. Next, the closed-form of outage probability is derived, under the hybrid line-of-sight and non-line-of-sight probability channel model. To deal with the formulated nonconvex optimization, a long-term proactive optimization mechanism is developed. In particular, firstly, an approximation for line-of-sight probability and a reformulation of the primal problem are given, respectively. Then, the reformulated problem is transformed into two subproblems: one is the transmission power optimization with given UAV’s trajectory and the other is the trajectory optimization with given transmission power allocation. Next, two subproblems are tackled via tailoring primal–dual subgradient method and successive convex approximation, respectively. Furthermore, a proactive optimization algorithm is proposed to jointly optimize the transmission power allocation and the three-dimensional trajectory. Finally, simulation results demonstrate the performance of the proposed algorithm under various parameter configurations.     

基于不同定子槽模型的分段磁路分析

结合等效磁场实现转子内磁场强度至转子轭表面的转换,分别建立了开口、半开(闭)口定子槽模型,采用分段磁路法分析各段磁路长度变化情况,给出了不同定子槽模型下齿槽转矩的解析式。分析定子冲片选用不同牌号的硅钢片材料对齿槽转矩的影响。经研究表明:分段磁路法能够提高槽间磁路近似精度,且经分析优选的定子硅钢片材料可较为有效地削弱齿槽转矩。     

麦克斯韦分子碰撞下的离子分布函数及其非相干散射谱的计算

采用麦克斯韦分子碰撞模型描述玻耳兹曼方程的碰撞项, 基于双麦克斯韦分布函数得到的输运方程包含了粘滞和热流的影响, 通过求解输运方程得到了离子漂移速度, 平行和垂直磁场的离子温度, 应力张量以及平行和垂直能量的热流矢量的表达式. 进而得到了麦克斯韦分子碰撞模型下离子分布函数的16矩近似. 利用非相干散射理论, 计算得到了非相干散射谱. 相对于简单的驰豫碰撞模型, 麦克斯韦分子碰撞模型能更准确地描述非麦克斯韦分布的电离层E 层的碰撞过程.      

Structural optimization for multiple structure cases and multiple payload cases with a two-level multipoint approximation method

This paper is to address structural optimization problems where multiple structure cases or multiple payload cases can be considered simultaneously. Both types of optimization problems involve multiple finite element models at each iteration step, which draws high demands in opti-mization methods. Considering the common characteristic for these two types of problems, which is that the design domain keeps the same no matter what the structure cases or payload cases are, both problems can be formulated into the unified expressions. A two-level multipoint approxima-tion (TMA) method is firstly improved with the use of analytical sensitivity analysis for structural mass, and then this improved method is utilized to tackle these two types of problems. Based on the commercial finite element software MSC.Patran/Nastran, an optimization system for multiple structure cases and multiple payload cases is developed. Numerical examples are conducted to ver-ify its feasibility and efficiency, and the necessity for the simultaneous optimizations of multiple structure cases and multiple payload cases are illustrated as well.     

基于阵元激励幅度分档的赋形波束方向图综合

提出了一种新型的基于幅度分档的赋形波束方向图综合算法。该算法共分为3步。首先,使用传统方向图综合方法如交替投影得到波束的无幅值限制的阵元激励;然后,使用概率密度理论对得到的阵元激励幅度进行处理得到量化的阵元激励幅度,最后,通过量化阵元激励幅度,使用半正定松弛（SDR）方法得到阵元激励的相位分布。上述步骤中,如何使用概率密度理论得到量化的阵元激励幅度是3步中较为重要的一步。将阵元激励幅度用概率密度变量进行替代,通过事先设定的阵元激励幅度档位个数,以及每个阵元激励幅度落在相应档位时取值的概率,可以得到含有概率密度变量的综合方向图表达式。最小化含有概率密度变量的综合方向图与理想方向图的功率之差即可得到量化的阵元激励幅度。使用概率密度理论得到量化阵元激励幅度的优势在于,可以根据任意形状的阵面和阵元栅格排布来划分幅度的档位区间,从而有着更广泛的适用性。在例证部分,通过多组算例的仿真,以及与一些对算法性能的分析,所提算法验证了其在综合效果上的优越性。