中小型企业建立生产计划优化线性规划模型的通用模式

本文提出了建立企业生产计划优化线性规划模型中约束方程的通用方法。简化了建模过程。并经多个企业的实际应用证明了其普遍适用性。为中小型企业建立生产计划优化线性规划模型提供了一个通用模式。     

Evolution of binaries with chemically peculiar primaries

The chemically peculiar (CP) stars are classified into subgroups based on the type of peculiarities. A significant fraction of these are known to be binaries. The faster evolution of the massive component leads to a white dwarf or a neutron star. Further evolution of the binary is analysed taking into consideration, the orbital parameters, effect of magnetic field, spectroscopic peculiarities and finally the statistics of CP binaries and Low Mass X-ray Binaries (LMXB).

The possible consequences of the evolution to lead to the formation of Magnetic Cataclysmic Variables (MCV) and LMXB are discussed.     

基于度的结构区间可靠性分析方法研究

为了分析考虑不确定性因素影响下的结构可靠性,基于不确定性参数的区间描述,用度的方法对结构区间可靠性进行分析。用区间数描述影响结构功能的不确定性,建立结构可靠性分析的区间应力一强度干涉模型,将这些区间变量引入到结构区间可靠性的分析中。基于区间数学以及区间数比较方法理论,提出了一种新的区间可靠性指标。运用基于度的结构区间可靠性分析方法进行计算,分析结果表明该方法具有良好的数学性质,计算得出的结果与用非概率可靠性计算结果相一致,表明该方法可以对结构安全或可靠的程度做出合理的估计。     

基于当地变量的横流转捩预测模型的研究与改进

Langtry和Menter提出的转捩预测模型需要改进以具备预测横流转捩的能力。当地变量Helicity参数可以指示边界层内的横流信息,因而可用来构造适用于复杂构型以及当代计算流体力学(CFD)并行计算的横流转捩预测模型。实现了基于Helicity参数的横流转捩预测模型,对于后掠角为45°的NLF(2)-0415无限展长后掠翼,模型能够预测不同雷诺数对横流转捩的影响,但是对6:1椭球的横流转捩预测结果与试验数据相差较多。针对实现的横流转捩预测模型的缺点,考虑横流速度因素进行改进。横流速度的求解经过简化近似可以当地求解,因而保证了改进的模型完全基于当地变量的优势。采用改进后的横流转捩预测模型分别对NLF(2)-0415机翼、6:1椭球以及DLR-F5机翼进行数值模拟,并与试验数据进行对比分析,结果显示改进后的横流转捩预测模型可以较为准确地捕捉横流转捩现象。     

Semi-analytical investigations of high area-to-mass ratio geosynchronous space debris including Earth’s shadowing effects

This paper investigates the long-term perturbations of the orbits of geosynchronous space debris influenced by direct radiation pressure including the Earth’s shadowing effects. For this purpose, we propose an extension of our homemade semi-analytical theory [Valk, S., Lemaître, A., Deleflie, F. Semi-analytical theory of mean orbital motion for geosynchronous space debris under gravitational influence. Adv. Space Res., submitted for publication], based on the method developed by Aksnes [Aksnes, K. Short-period and long-period perturbations of a spherical satellite due to direct solar radiation. Celest. Mech. Dyn. Astron. 13, 89–104, 1976] and generalized into a more convenient non-singular formalism. The perturbations accounting for the direct radiation pressure with the Earth’s shadow are computed on a revolution-by-revolution basis, retaining the original osculating Hamiltonian disturbing function. In this framework, we compute the non-singular mean longitude at shadow entry and shadow exit at every orbital revolution in opposition to classical approaches where the singular eccentric anomalies at shadow entry and shadow exit are computed. This new algorithm is developed using non-singular variables. Consequently, it is particularly suitable for both near-circular and near-equatorial orbits as well as orbits which transit periodically around null eccentricities and null inclinations.The algorithm is tested by means of numerical integrations of the equations, averaged over the short periods, including radiation pressure, J₂, the combined Moon and Sun third body attraction as well as the long-term effects of the 1:1 resonance occurring for geosynchronous objects. As an extension of [Valk, S., Lemaître, A., Anselmo, L. Analytical and semi-analytical investigations of geosynchronous space debris with high area-to-mass ratios influenced by solar radiation pressure. Adv. Space Res., doi:10.1016/j.asr.2007.10.025, 2007b], we especially apply our analysis to space debris with area-to-mass as high as 20 m²/kg. This paper provides numerical and semi-analytical investigations leading to a deep understanding of the long-term evolution of the semi-major axis. Finally, these semi-analytical investigations are compared with accurate numerical integrations of the osculating equations of motion over time scales as high as 25 years.     

基于近似技术的协同优化方法在机翼设计优化中的应用

将多学科设计协同优化方法与近似技术相结合,实现某机翼涉及结构和气动两个学科的设计优化。在对某机翼的协同优化设计中,采用基于均匀设计的二次响应面技术得到近似的协同优化模型,利用基于动态松弛近似的协同优化得到合理的结果。研究表明,将协同优化方法与近似技术相结合,能够有效地解决复杂工程的设计优化问题。     

两共线半无限裂纹板的弯曲问题

研究两共线半无限裂纹板的弯曲问题，应用Ｓｃｈｗａｒｚ对称原理和复应力函数的奇异性分析，将问题化为全纯函数的“联结问题”，求得了问题的封闭形式解和应力强度因子公式，并通过与有限元结果比较，说明了它们的工程实用价值。     

Analytical solution methods for eigenbuckling of symmetric cross-ply composite laminates

Based on the first-order shear deformation theory, this paper explores the analytical methods for eigenbuckling of symmetric cross-ply rectangular composite laminates with a pair of parallel edges simply supported and the remaining two edges arbitrarily constrained. The main con-tribution of present paper lies in two aspects: one is to present a simple and effective analytical method, namely, the separation-of-variables method, which can generate the closed-form buckling solutions without any computational difficulty;the other is to incorporate the accurate computation method of exponential matrix into the state space technique to avoid the inevitable numerically ill-conditioned problems reported in several literatures. The results obtained via both analytical meth-ods are identical, and a good agreement with their counterparts in literature is observed. The separation-of-variables method can generate exact solutions within 1 s, which is impossible if the state space method is employed. Besides, the combination of the accurate computation method of exponential matrix and the state space method greatly improves the computational efficiency and gives correct results compared with the straightforward use of state space method.     

两类激波捕捉格式的性能分析

考虑了两类典型的激波捕捉格式:特征形式的MUSCL(Monotone Upstream-centred Schemes for Conservation Laws)格式和WENO(Weighted Essentially Non-Oscillatory)格式.MUSCL格式在作特征变换时使用了局部线性化的思想,并且针对波系的性质施加相应的限制器;通过逐维重构实现有限体积法的WENO格式.针对一维、二维和三维Euler系统进行数值实验.在一维和二维的情况下,特征形式的MUSCL格式在接触间断的捕捉上具有较明显的优势,而对于激波的捕捉则差别不大.对于三维问题则是WENO格式对流场的分辨更精细.最后对上述结果给出解释,并且提出了可能的改进方法.     

Semi-analytical theory of mean orbital motion for geosynchronous space debris under gravitational influence

This paper provides a hamiltonian formulation of the equations of motion of an artificial satellite or space debris orbiting the geostationary ring. This theory of order 1 has been formulated using canonical and non-singular elements for eccentricity and inclination. The analysis is based on an expansion in powers of the eccentricity and of the inclination. The theory accounts for the influence of the Earth gravity field expanded in spherical harmonics, paying a particular attention to the resonance occurring for geosynchronous objects. The luni-solar perturbations are also taken into account. We present the resonant motion and its main characteristics: equilibria, stability, fundamental frequencies and width of the resonant area by comparison with a basic analytical model. Finally, we show some results concerning the long term dynamics of a typical space debris under the influence of the gravitational field of the Earth and the luni-solar interactions.