基于Kriging近似函数的变复杂度近似模型

为解决飞行器多学科不确定性设计与优化过程中多次调用计算复杂的高精度学科分析模型带来的计算复杂性问题，结合变复杂度建模思想和Kriging近似函数，建立了基于Kriging近似函数的变复杂度近似模型。该近似模型的构造基于较少的高精度模型取样点和较多的低精度模型取样点，在满足近似精度的要求下可大大减小高精度模型近似模型构造的计算成本。数学算例和某飞行器气动力变复杂度近似模型算例证明了该方法的有效性。     

Variational Bayesian labeled multi-Bernoulli filter with unknown sensor noise statistics

It is difficult to build accurate model for measurement noise covariance in complex back-grounds. For the scenarios of unknown sensor noise variances, an adaptive multi-target tracking algorithm based on labeled random finite set and variational Bayesian (VB) approximation is pro-posed. The variational approximation technique is introduced to the labeled multi-Bernoulli (LMB) filter to jointly estimate the states of targets and sensor noise variances. Simulation results show that the proposed method can give unbiased estimation of cardinality and has better performance than the VB probability hypothesis density (VB-PHD) filter and the VB cardinality balanced multi-target multi-Bernoulli (VB-CBMeMBer) filter in harsh situations. The simulations also confirm the robustness of the proposed method against the time-varying noise variances. The computational complexity of proposed method is higher than the VB-PHD and VB-CBMeMBer in extreme cases, while the mean execution times of the three methods are close when targets are well separated.     

A novel approximation of basic probability assignment based on rank-level fusion

Belief functions theory is an important tool in the field of information fusion. However, when the cardinality of the frame of discernment becomes large, the high computational cost of evidence combination will become the bottleneck of belief functions theory in real applications. The basic probability assignment (BPA) approximations, which can reduce the complexity of the BPAs, are always used to reduce the computational cost of evidence combination. In this paper, both the cardinalities and the mass assignment values of focal elements are used as the criteria of reduction. The two criteria are jointly used by using rank-level fusion. Some experiments and related analyses are provided to illustrate and justify the proposed new BPA approximation approach.     

A study on the quintic nonlinear beam vibrations using asymptotic approximate approaches

This paper intends to promote the application of modern analytical approaches to the governing equation of transversely vibrating quintic nonlinear beams. Four new studied methods are Stiffness analytical approximation method, Homotopy Perturbation Method with an Auxiliary Term, Max–Min Approach (MMA) and Iteration Perturbation Method (IPM). The powerful analytical approaches are used to obtain the nonlinear frequency–amplitude relationship for dynamic behavior of vibrating beams with quintic nonlinearity. It is demonstrated that the first terms in series expansions of all methods are sufficient to obtain a highly accurate solution. Finally, a numerical example is conducted to verify the integrity of the asymptotic methods.     

BEST APPROXIMATION BY NORMAL MATRICES WITH SPECTRAL CONSTRAINTS

考虑在给定谱约束和Ｆｒｏｂｅｎｉｕｓ范数意义下用正规矩阵最佳逼近一个给定复方阵的问题。给出了这个问题可解的充分必要条件,提出了求解这个问题的一个数值算法,并给出了一个数值例子。     

湍流等离子体尾迹雷达散射截面的计算及其影响因素分析

针对一阶畸变波Born近似模型,深入分析了湍流内外尺度和电子数密度脉动值对雷达散射截面的影响,并且给出了关于湍流外尺度的一个经验的,能被工程上较好使用的公式.在以上分析的基础上,计算了几种高程条件下再入小钝头锥体等离子尾迹的雷达散射截面,与已有实验结果进行了对比分析.分析和计算结果表明,湍流的外尺度和局部电子数密度值对雷达散射截面值影响较大;湍流内尺度变化的影响不大.     

机动目标的广义卡尔曼滤波信号模型的理论推导

卡尔曼滤波方法是一种应用广泛的估值方法,但其要求系统数学模型已知,而广义卡尔曼滤波与卡尔曼滤波相比并不需要系统数学模型已知,具有更强的现实意义。从泛函分析的角度讨论了连续函数的最佳逼近问题,并以此为基础提出了广义卡尔曼滤波的信号模型和递推公式。最后通过广义卡尔曼滤波与经典卡尔曼滤波仿真曲线的比较,验证了广义卡尔曼滤波的有效性。     

中心刚体-柔性悬臂梁系统的动力特性研究

对中心刚体-柔性悬臂梁系统的动力特性进行研究。首先采用Hamilton原理和有限元离散化方法,给出该系统的一次近似耦合模型以及相应的KED解耦模型,然后通过数值仿真对该系统的动力特性进行研究。研究中考虑了2种情况:中心刚体的转动惯量远大于柔性悬臂梁的转动惯量的情况和中心刚体的转动惯量接近柔性悬臂梁的转动惯量的情况。研究结果显示,传统的零次近似模型在处理大范围运动为未知的刚柔耦合动力学问题时同样存在失效的可能,而一次近似模型能够对系统的动力学行为进行正确的数学描述。当中心刚体的转动惯量远大于柔性悬臂梁的转动惯量时,一次近似模型的结果与零次近似模型的结果之间存在较小偏差;但当中心刚体的转动惯量接近柔性悬臂梁的转动惯量时,零次近似模型将导致错误的结果。     

飞机总体优化设计的新进展

回顾飞机总体优化设计的传统方法 ,介绍多学科优化方法在飞机设计中的应用状况和最新发展。重点讨论为解决设计变量过多和计算耗费太大问题提出的试验设计和响应面近似法以及带不确定性多学科优化的鲁棒设计方法。提出飞机总体优化设计的一些关键研究领域 :气动—结构、气动—隐身、结构—主动控制等 ,最后展望多学科优化在飞机总体设计中的应用前景     

以持续抽象策略实现软件体系架构进化

以对传统的模型-视图-控制器(MVC)体系架构框架实施的进化过程为例,针对软件系统的体系架构模式／框架设计,识别并提出一种新的进化式设计理念体系:基于持续抽象策略的进化式设计理念体系; 并探索了以这种理念体系及其语言记录和传承软件系统设计经验及其进化能力历史的可能性。本文指出,架构方案的可抽象能力是软件架构进化能力的核心因素,决定架构方案在软件进化过程中的生存能力。新的进化式设计方法学理念体系建议以持续抽象过程作为体系架构设计的进化策略,以领导软件体系架构的进化方向,持续加强软件体系架构的可靠性、可扩展性、动态性和可复用性。还介绍了这一新的设计方法学理念体系在信号和逻辑集成工具SAL Studio1．0设计开发过程中的实践。