可靠性增长潜力的分析方法

提出了可靠性增长潜力的分析方法，并讨论了相关影响因素，进而给出了专家评值法，该方法对确定产品可靠性增长的可能目标，明确要采取的主要措施，是一种实用而有效的方法，尤其适用于已批量生产的产品，特别对现阶段以引进和自主开发相结合的我国工业，具有重要的实用价值。     

不定积分的分部积分法探究

分部积分法是求不定积分的重要方法之一，也是求不定积分中的一个难点。在教学中，采用简单可行的方法准确的确定哪个函数为 u ，哪个函数为 dv ，再用简便的运算方法和技巧，可以快速求出 v。     

空间光学系统技术发展探讨

文章总览国际典型大科学工程和计划，对空间光学系统技术在过去20年的发展做出了简要的归纳和总结。同时通过跟踪一些领域前沿和技术生长点，指出了一些可能对未来空间光学系统带来重大改变的方向。     

Analysis on capabilities of density-based solvers within OpenFOAM to distinguish aerothermal variables in difusion boundary layer

Open source feld operation and manipulation（OpenFOAM）is one of the most prevalent open source computational fluid dynamics（CFD）software.It is very convenient for researchers to develop their own codes based on the class library toolbox within OpenFOAM.In recent years,several density-based solvers within OpenFOAM for supersonic/hypersonic compressible flow are coming up.Although the capabilities of these solvers to capture shock wave have already been verifed by some researchers,these solvers still need to be validated comprehensively as commercial CFD software.In boundary layer where diffusion is the dominant transportation manner,the convective discrete schemes＇capability to capture aerothermal variables,such as temperature and heat flux,is different from each other due to their own numerical dissipative characteristics and from viewpoint of this capability,these compressible solvers within OpenFOAM can be validated further.In this paper,frstly,the organizational architecture of density-based solvers within OpenFOAM is analyzed.Then,from the viewpoint of the capability to capture aerothermal variables,the numerical results of several typical geometrical felds predicted by these solvers are compared with both the outcome obtained from the commercial software Fastran and the experimental data.During the computing process,the Roe,AUSM＋（Advection Upstream Splitting Method）,and HLLC（Harten-Lax-van Leer-Contact）convective discrete schemes of which the spatial accuracy is 1st and 2nd order are utilized,respectively.The compared results show that the aerothermal variables are in agreement with results generated by Fastran and the experimental data even if the1st order spatial precision is implemented.Overall,the accuracy of these density-based solvers can meet the requirement of engineering and scientifc problems to capture aerothermal variables in diffusion boundary layer.     

含不确定参数的复合材料板振动的 区间分析法

提出了求解具有不确定参数的复合材料板的振动固有频率区间分析法.区间分析法利用区间数学和泰勒定理,把不确定变量简化为区间向量.这样可以在较少的结构信息的情况下确定结构响应的变化区间.在样本比较小,概率统计特性缺乏,从而通常的概率统计方法不能有效应用时,区间分析仍然有效. 对复合材料板的振动固有频率的区间法公式进行了推导,并用2个数值例子与凸模型方法的解进行比较.结果表明区间分析法比凸模型方法的解区间小.      

结构振动的鲁棒可靠性

以传统的结构振动概率设计方法为基础,用区间集(超长方体)将不确定变量定量化,降低了传统的概率统计方法对统计特性的过分要求,通过区间参数摄动法得到固有频率所在的区间集,建立了激振力频率与结构固有频率干涉的非概率模型,给出了结构振动鲁棒可靠性准则.振动鲁棒可靠性的度量是通过结构避免发生共振所允许的不确定量的大小来体现的.结构所能承受的不确定度越大就越可靠,反之就不可靠,在数学模型上表现为激振力频率区间集与结构固有频率区间集的偏序关系.通过数值算例表明了所提出的结构振动非概率鲁棒可靠性准则的可行性.      

Improvement of Baldwin-Lomax turbulence model for supersonic complex flows

Entropy represents the dissipation rate of energy. Through direct numerical simulation (DNS) of supersonic compression ramp flow, we find the value of entropy is monotonously decreasing along the wall-normal direction no matter in the attached or the separated region. Based on this feature, a new version of Baldwin-Lomax turbulence model (BL-entropy) is proposed in this paper. The supersonic compression ramp and cavity-ramp flows in which the original Baldwin-Lomax model fails to get convergent solutions are chosen to evaluate the performance of this model. Results from one-equation Spalart-Allmaras model (SA) and two-equation Wilcox k-x model are also included to compare with available experimental and DNS data. It is shown that BLentropy could conquer the essential deficiency of the original version by providing a more physically meaningful length scale in the complex flows. Moreover, this method is simple, computationally efficient and general, making it applicable to other models related with the supersonic boundary layer.     

发现学习法在数学教学中的应用

本文结合大学生的思维特点及数学学科的特点，论述了恰当地采用发现学习法将使“教师教的活动与学生学的活动”达到事半功倍的效果。     

被动式加载系统多余力的产生机理及其消除方法的研究

分析了被动式加载系统的工作特点；详细推导了被动式加载系统多余力的数学模型；探讨克服被动式加载系统多余力、提高加载精度的方法，为研制高性能的被动式加载系统提供理论依据。     

随机编码感知的高分辨遥感光谱计算成像

传统遥感光谱成像系统的空间分辨率和光谱分辨率是衡量成像品质的重要指标,而它们受制于探测传感器的点阵密度,提高遥感光谱成像传感器的性能代价非常巨大。另一方面,在入射光能量一定的条件下,由于高分辨光谱的窄波段成像与低窄带辐射能量接收之间的矛盾,传统遥感光谱成像方法的空间分辨率和光谱分辨率往往难以兼得。如何利用普通探测器获得...