Wilkinson定理扰动界的改进估计

Wilkinson定理是代数特征值问题中的一个经典定理,文章给出了Wilkinson定理的结果中关于扰动矩阵上界的另一种估计形式,并指出该形式对Wilkinson定理具有一定的改进。     

Data reduction and correction algorithm for digital real-time processing of cosmic ray measurements: NM64 monitoring at Dourbes

We present a data correction algorithm for real-time data processing for the NM64 galactic cosmic ray neutron monitor at the Royal Meteorological Institute (RMI) in Dourbes, Belgium. The correction is based on three main tests: a continuity test, tube ratios test and a derivative test. The continuity test works as a high pass filter with a threshold based on the entire recorded dataset. Additionally, it monitors whether the logging takes place at regular intervals (continuously). The ratios test identifies noisy sections and the final derivative test criterion will identify single or double spikes by testing them against the median increase of the intensities. Using these criteria, all data from the cosmic ray station at Dourbes is corrected in real time. Test results have been compared with data from verified neutron monitor stations with a similar geomagnetic cutoff rigidity.     

Effect of curing condition on bonding quality of scarf-repaired composite laminates

Both single-face vacuum bag curing (SVC) and double-face vacuum bag curing (DVC) can be used in scarf repair of composite structures. But different curing conditions caused by the sealing state may affect the bonding quality of scarf-repaired structures. In this paper, the effect of curing condition on bonding quality of scarf-repaired laminates was experimentally investigated in terms of surface profiles, moisture absorption curves and section profiles. In order to further explore the moisture absorption mechanism, finite element model of the repaired laminates using DVC was established with moisture diffusion of both the adhesive and composite laminates considered. This model was verified by experimental results. Based on the model of DVC case, the model of SVC case was built by changing moisture absorption parameters of the adhesive. Results show that SVC reduces the bonding quality, mainly reflecting in more adhesive inner voids and patch-to-parent dislocation. And SVC increases moisture absorption rate and moisture equilibrium content of the adhesive, and its effect on the former is far greater than that on the latter.     

Theoretical aspects of selecting repeated unit cell model in micromechanical analysis using displacement-based finite element method

Repeated Unit Cell(RUC)is a useful tool in micromechanical analysis of composites using Displacement-based Finite Element(DFE)method,and merely applying Periodic Displacement Boundary Conditions(PDBCs)to RUC is almost a standard practice to conduct such analysis.Two basic questions arising from this practice are whether Periodic Traction Boundary Conditions(PTBCs,also known as traction continuity conditions)are guaranteed and whether the solution is independent of selection of RUCs.This paper presents the theoretical aspects to tackle these questions,which unify the strong form,weak form and DFE method of the micromechanical problem together.Specifically,the solution’s independence of selection of RUCs is dealt with on the strong form side,PTBCs are derived from the weak form as natural boundary conditions,and the validity of merely applying PDBCs in micromechanical Finite Element(FE)analysis is proved by referring to its intrinsic connection to the strong form and weak form.Key points in the theoretical aspects are demonstrated by illustrative examples,and the merits of setting micromechanical FE analysis under the background of a clear theoretical framework are highlighted in the efficient selection of RUCs for Uni Directional(UD)fiber-reinforced composites.     

动力失效对起飞纵向气动特性影响数值研究

研究民用飞机动力失效对飞机起飞阶段纵向气动特性的影响规律及其机理,对保证飞机有效操纵和安全飞行具有重要意义.采用在点对点多块结构化网格系统上求解三维可压缩雷诺平均N-S方程的数值方法,研究发动机动力失效对某民用飞机起飞构型纵向气动特性的影响.通过DLR-F11模型验证研究方法对民用飞机高升力构型气动特性的预测能力;针对安装动力短舱的某翼吊涡扇发动机民用飞机起飞构型,通过对比其发动机在正常工况和失效时飞机气动特性的差异,得出动力失效对飞机纵向气动特性的影响规律及机理.结果表明:动力失效后,不但溢流效应会使飞机阻力系数增大;还会导致发动机进、排气特性较正常工作状态明显不同,恶化短舱附近流场,对飞机的升力、失速特性带来不利影响.     

流场可压缩性对涡相互作用影响的数值研究

涡相互作用作为冲压发动机喷注装置的典型抽象流动现象,研究其可压缩性影响对于认识包含化学反应的真实燃料喷射场具有一定基础理论价值。基于经过数值验证的可压缩Navier-Stokes算法与压力泊松方程初始条件设置方法研究流场可压缩性对涡相互作用演化过程的影响。结果表明,以较高涡旋马赫数表征的可压缩性在改变涡对形态的同时,具有延缓涡旋相互靠近,迟滞融合进程的作用。关于涡对系统开始融合的临界条件,可压缩相互作用开始的临界展弦比与无量纲时间相比于低速涡对明显提高。为在无量纲时间意义下统一不同马赫数涡对相互作用的进程,从涡心密度随时间变化规律出发在不可压涡对特征时间的基础上,初步构建了考虑可压缩性的时间尺度修正关系。     

基于高速存储平台的高性能RS编译码器设计

目前,星载高速存储设备中采用商用RS编译码IP核来实现数据纠错功能,能够实现的编译码最高速率为800 Mbps,只能依靠多个IP核同时工作达到吉比特高速数据存取速率的要求。星载存储数据发生错误的主要原因是存储区单粒子翻转和存储介质本身特性产生的单比特数据错误。针对星载存储数据的误码特性,本文提出一种RS编译码改进算法,通过对编码算法中的剩余多项式及译码算法中的伴随多项式进行降次处理,减小编译码过程中运算的迭代次数及计算量,以及对编译码算法中的基本运算单元有限域乘法器采用子项复用技术,实现对传统RS编译码算法的改进。结果表明改进后的编译码器能达到最高数据速率为10.5 Gbps,编码器资源较单个商用IP核减少15%,译码器资源减少40%,能够满足后续高速存储平台的应用要求。     

基于连续损伤模型的复合材料波纹梁压溃分析

复合材料的耐撞性受到了广泛重视,而波纹梁因其优异的抗屈曲构型被广泛应用于飞机翼梁和直升机底板等经常发生碰撞的结构中。进行了复合材料波纹梁的屈曲分析,研究了高度对波纹梁破坏模式的影响。建立复合材料波纹梁的连续损伤单波模型,层内基于Hashin判据建立含损伤因子的损伤刚度矩阵,层间根据二次名义应力准则和B-K准则模拟损伤演化,并通过典型复合材料波纹梁压溃试验验证了所建立模型的正确性。基于单波分析模型,通过施加周期性边界条件和反对称边界条件,研究了多波结构的吸能特性。     

一种中心型间断有限元MMALE方法

针对多介质可压缩流体动力学问题,提出了一种单元中心型二维MMALE(Multi-Material Arbitrary Lagrangian-Eulerian)方法.在拉氏步,流体力学方程组采用中心型间断有限元方法求解.对于混合网格,采用Tipton压力松弛模型更新物理量,用等参坐标法更新物质中心点坐标.界面重构采用一种...     

含滑行时间约束的真空段弹道设计研究

由于动力系统及测控资源的约束,工程中存在着末级两次点火但滑行时间受限的运载火箭真空段弹道设计问题。基于线性引力场的假设,引入含滑行时间约束的切换条件,从而将含固定滑行时长的弹道优化问题转换成对两点边值问题的迭代求解和对运动方程的积分,并通过多个算例仿真验证了该方法的正确性和有效性。同时,研究了迭代过程中滑行段不同弹道预报方法对弹道设计的影响,结果显示较高的预报精度可以获得更优的弹道设计结果。该方法提供了一种新的弹道设计思路,在总体方案论证或初步设计阶段可以替代传统设计方法,以有效提升弹道设计效率,优化火箭方案。