FINITE LAYER ANALYSIS FOR SEMI-INFINITE SOILS (Ⅰ)——GENERAL THEORY

In the present paper a finite layer method is studied for the elastodynamics of transverse isotropic bodies. With this method, semi-infinite soils can be considered as an transverse isotropic half-space, its material functions varying with depth. Dividing the half.space into a series of layers in the direction of depth the material fimetioms in each layer are simulated by exponential fumctions Consequently, the fundamental equations to be solved can be simplified if the fouricr transform with repsect to coordinates is used. We have obtained the relationship between the "layer forces" and "layer displacements". This finite layer method, in fact, can also be called a semi-analytical method. It possesses those advantages as the usual semi-analytical methods do, and can be used to analyse the problem of the interaction between soils and structures.     

粘弹性基支粘弹板轴对称问题的动力响应

本文讨论粘弹性半空间地基上粘弹性圆板受轴对称载荷时的动力响应,将问题化为在Laplace变换空间中的第一类Fr积分方程,通过数值解和进行数值逆变换求得问题的解答。     

(1R,4S,5S)-6-环己基-4-[(1R,2S,5R)-5-甲基-2-异丙基环己氧基]-3-氧杂-6-氮杂双环[3.1.0]-2-己酮的合成及结构表征

环已胺与差向异构体5-[(1R,2S,5R)-5-甲基-2-异丙基环己氧基]-3-溴-2(5H)-呋喃酮发生不对称Mi-chael加成-分子内亲核取代反应,并经柱层析分离,得到一对手性氮杂环丙烷-丁内酯衍生物,其中的标题化合物为首次得到的新手性化合物,产率17%,其结构经IR、1H NMR、13C NMR和HRMS进行了表征。     

不确定环境下基于时间、费用及鲁棒性权衡的多目标项目调度优化

项目调度中的时间和费用是两个重要的指标,而在不确定环境下进度计划的鲁棒性则是保证项目平稳实施的关键。本文研究不确定环境下的多目标项目调度优化问题,以优化项目的工期、鲁棒值和成本为目标安排各活动的开始时间。基于此,作者构建多目标项目调度优化模型,将模型分解为三个子模型分析目标间的权衡关系,然后设计非劣排序遗传算法进行求解,应用精英保留策略和基于子模型权衡关系的优化策略优化算法,进行算法测试和算例参数敏感性分析。最后,应用上述方法研究一个项目实例,计算得到非劣解集,实例的敏感性分析结果进一步验证了三个目标间的权衡关系,据此提出资源的有效利用策略。本文的研究可以为多目标项目调度制定进度计划提供定量化决策支持。     

Solution of the spin-one DKP oscillator under an external magnetic field in noncommutative space with minimal length

The spin-one Duffin-Kemmer-Petiau(DKP) oscillator under a magnetic field in the presence of the minimal length in the noncommutative coordinate space is studied by using the momentum space representation. The explicit form of energy eigenvalues is found, and the eigenfunctions are obtained in terms of the Jacobi polynomials. It shows that for the same azimuthal quantum number, the energy E increases monotonically with respect to the noncommutative parameter and the minimal length parameter. Additionally, we also report some special cases aiming to discuss the effect of the noncommutative coordinate space and the minimal length in the energy spectrum.     

Adaptive multitrack reconstruction for particle trajectories based on fuzzy c-regression models

In this paper, an approach to straight and circle track reconstruction is presented, which is suitable for particle trajectories in an homogenous magnetic field (or 0 T) or Cherenkov rings. The method is based on fuzzy c-regression models, where the number of the models stands for the track number. The approximate number of tracks and a rough evaluation of the track parameters given by Hough transform are used to initiate the fuzzy c-regression models. The technique effectively represents a merger between track candidates finding and parameters fitting. The performance of this approach is tested by some simulated data under various scenarios. Results show that this technique is robust and could provide very accurate results efficiently.     

有限空间中经典场的正则量子化

从离散的角度研究带边界的1+1维经典标量场和Dirac场的正则量子化问题. 与以往不同的是, 这里将时间和空间两个变量同时进行变步长的离散, 应用变步长离散的变分原理, 得到离散形式的运动方程、边界条件和能量守恒的表达式. 然后, 根据Dirac理论, 将边界条件当作初级约束, 将边界条件和内在约束统一处理. 研究表明, 采用此方法, 不仅在每个离散的时空格点上能够建立起Dirac括号, 从而可以完成该模型的正则量子化;而且, 该方法还保持了离散情况下的能量守恒.     

k-ε双方程湍流模型对制退机内流场计算的适用性分析

为研究不同双方程湍流模型对制退机内复杂流场计算的适用性,以某火炮制堪机为研究对象,建立了实际结构下的三维计算模型,利用动网格与滑移网格技术.实现了火炮实际后坐速度下的制退机内部三维运动流场的数值计算.分别采用标准k-ε模型、RNGk-ε模型和Realizablek-ε模型计算制退机内部各腔室压力,与实验曲线对比,结果表...     

k-ε双方程湍流模型对制退机内流场计算的适用性分析

为研究不同双方程湍流模型对制退机内复杂流场计算的适用性,以某火炮制退机为研究对象,建立了实际结构下的三维计算模型,利用动网格与滑移网格技术,实现了火炮实际后坐速度下的制退机内部三维运动流场的数值计算。分别采用标准k-ε模型、RNGk-ε模型和Realizable k-ε模型计算制退机内部各腔室压力,与实验曲线对比,结果表明,应用标准k-ε模型对后坐冲击过程的制退机内部压力计算的误差最小,与实验结果吻合最好。     

新题征展(124)

A 题组新编 1.(张乃贵)(1)已知F1,F2是双曲线x2/a2-y2/b2=1的左、右焦点,点P是双曲线右支上的一点,且PF1=5PF2,则双曲线的离心率取值范围是____;