新型高低速流统一算法及其叶轮机应用

 对于可压缩/不可压缩混合流动或高低速混合流动问题,目前没有较好的解决方法。基于Roe格式及预处理方法,提出了全速度Roe格式。全速度Roe格式是将Roe格式与低速Roe格式通过一个与本地马赫数相关的函数联合而得到的。与标准Roe格式相比,对亚音速流动,全速度Roe格式中声速对数值耗散的影响随着马赫数变化而变化。与预处理Roe格式相比,全速度Roe格式简单易于实现,而且没有计算稳定性的限制,不需要采用全局截断处理,从而在理论上对高低速流动具有一致精度。事实上,全速度Roe格式意味着可以通过直接改变Roe格式的非线性特征值,解决可压不可压流动统一计算精度的问题。这是对统一算法的新观点。数值模拟表明,全速度Roe格式具有与预处理Roe格式一样的激波捕获能力、极低速流动准确模拟能力。     

钉载作用下多裂纹板的裂纹闭合接触问题

 基于摩擦接触问题的数学规划解法,采用各向异性体平面弹性理论中的复势方法,建立了含裂纹群有限大各向异性板,在钉载作用下裂纹闭合或局部闭合问题的有效分析方法。忽略钉与孔间的摩擦,假设钉载沿孔边呈余弦分布,通过在可能闭合的裂纹边界引入互补变量函数并将其展成Fourier级数形式,以Faber级数为工具,应用保角映射技术和最小二乘边界配点法,导出裂纹面摩擦接触的线性互补模型,并通过算例验证了方法的有效性。数值结果表明,由于采用级数解描述板应力场和位移场,本方法具有较高的计算精度和效率,便于研究裂纹闭合对应力强度因子等断裂参数的影响。     

关于某个四阶非对称微分方程边值问题的唯一性

本文处理如下形式的四阶非对称微分方程边值问题的唯一性。 对于对称情形,传统的处理方法是利用Thichmarsh,E.C.的函数论方法与亏指标理论。而当方程为非对称时,上述方法会有些困难。但若通过构造某个特殊的与(?)λ有关的内积,并利用内插不等式及Opial不等式,则非对称情形能被容易地处理且得到许多唯一性的结果。     

S_2流面正命题适用于纯物质流体的变分原理族及其对偶变分原理族

本文建立了适用于纯物质流体轴流式S_2流面正命题的变分原理族及其对偶变分原理族。证明了其中的两条狭义变分原理在均转子焓均熵条件下在亚声速区内分别为极大值原理和极小值原理。在变分原理的构造中,采用吉布斯关系作为约束,从而使这些变分原理适用于纯物质流体。     

关于对偶理论中互补松弛定理的使用方法探讨

对于对偶理论中互补松弛定理在各种情况下的使用方法进行了说明，能够使学生更好地掌握该定理的含义和应用方法     

转子/静子干涉气动声学反问题研究

探讨了通过测量空间有限点声压来反演静叶表面压力分布的转子/静子干涉气动声学反问题。具体从线化欧拉方程出发,将空间有限点的声压与静叶表面的非定常压力分布关联成第一类Fredholm积分方程的形式。鉴于问题的不适定,本文采用奇异值分解与Tikhonov正则化解法相结合的最小二乘方法进行求解,并采用离散Picard条件进行可解性分析,而最优正则化参数的选取则采用广义互校核方法。计算结果表明,在信噪比不是很低的情况下,反演是可行的。      

Hybrid partition- and network-level scheduling design for distributed integrated modular avionics systems

Distributed Integrated Modular Avionics (DIMA) develops from Integrated Modular Avionics (IMA) and realizes distributed integration of multiple sub-function areas. Time-triggered network provides effective support for time synchronization and information coordination in DIMA systems. However, inconsistency between processing resources and communication network destroys the time determinism benefiting from partitions and time-triggered mechanism. To ensure such time determinism and achieve guaranteed real-time performance, system design should collectively provide a global communication scheme for messages in network domain and a corresponding execution scheme for partitions in processing domain. This paper firstly establishes a general DIMA model which coordinates partitioned processing and time-triggered communication, and then proposes a hybrid scheduling algorithm using Mixed Integer Programming to produce feasible system schemes. Furthermore, incrementally integrating new functions causes upgrades or reconfigurations of DIMA systems and will generate integration cost. To control such cost, this paper further develops an optimization algorithm based on Maximum Satisfiability Problem and guarantees that the scheduling design for upgraded DIMA systems inherit their original schemes as much as possible. Finally, two typical cases, including a simple fully connected DIMA system case and an industrial DIMA system case, are constructed to illustrate our DIMA model and validate the effectiveness of our hybrid scheduling algorithms.     

采用二维贝叶斯方法求解旋转盘腔导热反问题

为了研究压气机旋转盘腔换热特性,实现准确求解转盘表面传热系数,引入二维贝叶斯方法,此方法采用先验分布优化测温误差,并且更加符合转盘的二维特性。通过加入噪声的模拟数据验证方法的可行性,结果表明无测温误差时方法的平均误差是3.2%,有测温误差时方法的平均误差是10.6%,并分析了误差来源。通过与已有实验结果对比,发现方法更适用于计算转盘迎风面与背风面传热差异较大时的表面传热系数,平均相对误差为9.6%,满足实际工程精度的要求。通过改变盘面温度测点数量,发现测点增加会提升计算精度,并采用统计抽样理论分析原因,发现在可接受误差为10%时,所需要的测点数量比较合理。     

Two-phase framework for near-optimal multi-target Lambert rendezvous

This paper proposes a two-phase framework to obtain a near-optimal solution of multi-target Lambert rendezvous problem. The objective of the problem is to determine the minimum-cost rendezvous sequence and trajectories to visit a given set of targets within a maximum mission duration. The first phase solves a series of single-target rendezvous problems for all departure-arrival object pairs to generate the elementary solutions, which provides candidate rendezvous trajectories. The second phase formulates a variant of traveling salesman problem (TSP) using the elementary solutions prepared in the first phase and determines the final rendezvous sequence and trajectories of the multi-target rendezvous problem. The validity of the proposed optimization framework is demonstrated through an asteroid exploration case study.     

Uncertain multiobjective redundancy allocation problem of repairable systems based on artificial bee colony algorithm

Based on the uncertainty theory, this paper is devoted to the redundancy allocation problem in repairable parallel-series systems with uncertain factors, where the failure rate, repair rate and other relative coefficients involved are considered as uncertain variables. The availability of the system and the corresponding designing cost are considered as two optimization objectives. A crisp multiobjective optimization formulation is presented on the basis of uncertainty theory to solve this resultant problem. For solving this problem efficiently, a new multiobjective artificial bee colony algorithm is proposed to search the Pareto efficient set, which introduces rank value and crowding distance in the greedy selection strategy, applies fast non-dominated sort procedure in the exploitation search and inserts tournament selection in the onlooker bee phase. It shows that the proposed algorithm outperforms NSGA-II greatly and can solve multiobjective redundancy allocation problem efficiently. Finally, a numerical example is provided to illustrate this approach.