一种半球谐振陀螺谐振子动力学建模方法

准确完备的半球谐振陀螺（HRG）谐振子动力学模型是陀螺误差分析的基础。为建立半球壳谐振子动力学模型,基于弹性力学薄壳理论,提出了一种谐振子动力学建模方法。首先,在薄壳的弹性力学几何方程基础上,推导了半球壳谐振子的变形几何方程。其次,在提高受力分析计算精度的基础上,推导了半球壳谐振子的物理方程。然后,分析了谐振子中面的受力平衡关系,推导了谐振子的平衡微分方程。最后,基于以上对整个谐振子的动力学分析,建立了谐振子动力学方程。根据谐振子的不同外载荷形式,利用布勃诺夫-伽辽金法求解得到谐振子2阶谐振状态动力学模型,并得到了谐振子比例系数和2阶谐振频率的表达式。通过对比验证可以看出,参数计算值与实测数据结果一致,证明了所建立的动力学模型的准确性。     

共享资源系统的监控问题

本文研究了共享资源系统的监控器设计及相关的死锁与无穷占有问题。首先,本文指出禁止状态控制等价于一类标识控制问题。通过构造子系统的集结模型,可以避免求取整体系统模型及求取相应禁止状态的最小不可控子集。这一方法极大地降低了禁止状态控制设计的复杂性。然后,本文证明了对于禁止状态控制问题,相应子语言的死锁状态等价于新的禁止状态,并证明了相应算法的收敛性和最优性。最后,给出了某子系统无穷占有共享资源的充要条件。     

二维涡格法的超收敛性

本文提出并研究了二维涡格法的超收敛性。在离散化误差分析中,与薄翼理论的二维平板精确解进行比较,根据Chebychev多项式理论,导出了涡格法中具有超收敛性的离散化格式。并证明了这种离散化格式对二维抛物弧板和三次曲线弧板等问题也具有超收敛性。     

关于sinθ定理的一个注记

本文对酉不变范数以分离度、残量界或扰动界给出了任意矩阵的特征空间的扰动界。其结果可作为著名的Davris-Kahan sinθ定理的推广,由此能导出Davis-Kahan第二sinθ定理。     

Transfer element method with application to acoustic design of aeroengine nacelle

In the present survey, various methods for the acoustic design of aeroengine nacelle are first briefly introduced along with the comments on their advantages and disadvantages for practical application, and then detailed analysis and discussion focus on a kind of new method which is called ‘‘transfer element method'(TEM) with emphasis on its application in the following three problems: turbomachinery noise generations, sound transmission in ducts and radiation from the inlet and outlet of ducts, as well as the interaction between them. In the theoretical frame of the TEM, the solution of acoustic field in an infinite duct with stator sound source or liner is extended to that in a finite domain with all knows and unknowns on the interface plane, and the relevant acoustic field is solved by setting up matching equation. In addition, based on combining the TEM with the boundary element method(BEM) by establishing the pressure and its derivative continuum conditions on the inlet and outlet surface, the sound radiation from the inlet and outlet of ducts can also be investigated. Finally, the effects of various interactions between the sound source and acoustic treatment have been discussed in this survey. The numerical examples indicate that it is quite important to consider the effect of such interactions on sound attenuation during the acoustic design of aeroengine nacelle.     

波浪前缘静子叶片对高速轴流风扇单音噪声的影响

航空发动机压气机噪声与大型风洞压缩机噪声问题日益凸显,相关研究机构迫切需求新的降噪手段以指导大型叶轮机械降噪设计。为了探索波浪前缘静子叶片在大型叶轮机械降噪中的应用前景,采用非定常雷诺平均Navier-Stoke（URANS）方程与FW-H方程混合方法对基准静子叶片和3种波浪前缘静子叶片的降噪效果进行了数值模拟,研究对象静子来流平均马赫数约为0.49,基于静子叶片弦长的雷诺数约为1 040 000。数值预测结果显示：波浪前缘静子叶片可以显著降低高速轴流风扇单音噪声,但会对风扇的气动性能产生少许不利影响;相较于基准静子叶片,3种波浪前缘静子叶片可以在1BPF时降低风扇入口声功率级0.97~1.5 dB,2BPF时降低风扇入口声功率级2.89~4.9 dB,3BPF时降低风扇入口声功率级3.32~4.72 dB;同时,总压比降低0.1%~0.8%,等熵效率降低0.1%~0.3%。进一步研究表明：不同频率下声源振幅和相位关系是风扇单音噪声强度的主要影响因素,总的来说,幅值的增加会降低声源强度,然而通过改变声源相位关系的降噪方式则需要兼顾径向模态与波长两个方面。     

Multi-disciplinary design optimization with fuzzy uncertainties and its application in hybrid rocket motor powered launch vehicle

In this paper, an Uncertainty-based Multi-disciplinary Design Optimization (UMDO) method combining with fuzzy theory and Multi-Discipline Feasible (MDF) method is developed for the conceptual design of a Hybrid Rocket Motor (HRM) powered Launch Vehicle (LV). In the method proposed, membership functions are used to represent the uncertain factors, the fuzzy statistical experiment is introduced to analyze the propagation of uncertainties, and means, standard deviations and credibility measures are used to delineate uncertain responses. A geometric programming problem is solved to verify the feasibility of the Fuzzy-based Multi-Discipline Feasible (F-MDF) method. A multi-disciplinary analysis of a three-stage HRM powered LV involving the disciplines of propulsion, structure, aerodynamics and trajectory is implemented, and the mathematical models corresponding to the F-MDF method and the MDF method are established. A two-phase optimization method is proposed for multi-disciplinary design optimization of the LV, including the orbital capacity optimization phase based on the Ziolkowski formula, and the scheme trajectory verification phase based on the 3-degree-of-freedom point trajectory simulation. The correlation coefficients and the quadratic Response Surface Method (RSM) based on Latin Hypercube Sampling (LHS) are adopted for sensitive analysis of uncertain factors, and the Multi-Island Genetic Algorithm (MIGA) is adopted as the optimization algorithm. The results show that the F-MDF method is applicable in LV conceptual design, and the design with the F-MDF method is more reliable and robust than that with the MDF method.     

基于合作博弈论的水下声传感器网络

声学传感器节点之间的合作面临声学信道故障、声学信号的长传播延迟、有限带宽和连接丢失等挑战,成为水下探索和海底监测研究中的关键问题。在节点合作中,可以利用合作通信博弈改善节点之间的合作问题。首先,介绍了水下声传感器网络中影响合作的各种因素,围绕水下通信的可靠性、能耗性、安全性等方面,提出水下合作的分类,并且从不同的角度研究了用于水下声传感器网络的各种合作技术;其次,通过回顾博弈论在节点相互合作中的应用,分析了不同的合作博弈方法,比较了它们在不同指标上的性能;最后,介绍了水下声传感器网络的开放性问题和未来研究方向。     

Modeling and flapping vibration suppression of a novel tailless flapping wing micro air vehicle

This paper establishes and analyzes a high-fidelity nonlinear time-periodic dynamic model and the corresponding state observer for flapping vibration suppression of a novel tailless Flapping Wing Micro Air Vehicle(FWMAV), named NPU-Tinybird. Firstly, a complete modeling of NPU-Tinybird is determined, including the aerodynamic model based on the quasi-steady method, the kinematic and dynamic model about the mechanism of flapping and attitude control,combined with the single rigid body dynamic mod...     

含钉孔有限大板应力集中系数的解析变分解法

导出满足弹性理论平面问题所有支配方程的应力场与位移场的罗朗级数展开式;用变分方法满足含钉孔有限大板边界条件并确定级数中的系数与应力集中系数;最后进行收敛性验证并给出系统计算曲线。