On Higher Order Pyramidal Finite Elements

In this paper we first prove a theorem on the nonexistence of pyramidal polynomial basis functions. Then we present a new symmetric composite pyramidal finite element which yields a better convergence than the nonsymmetric one. It has fourteen degrees of freedom and its basis functions are incomplete piecewise triquadratic polynomials. The space of ansatz functions contains all quadratic functions on each of four sub-tetrahedra that form a given pyramidal element.     

三维实体退化虚拟层合梁单元在梁极限承载力分析中的应用

提出采用三维实体退化虚拟层合梁单元计算梁极限承载力的方法。考虑结构的几何非线性和材料非线性,利用该单元编制了极限承载力计算程序,并将其应用于梁极限承载力的分析。计算实例表明,该单元收敛快,稳定性好,在单元数较少的情况下,具有较高的精度。由于能克服块体单元或梁段     

Exact Solutions of Five Complex Nonlinear Schrödinger Equations by Semi-Inverse Variational Principle

In this paper, we establish exact solutions for five complex nonlinear Schrödinger equations. The semi-inverse variational principle (SVP) is used to construct exact soliton solutions of five complex nonlinear Schrödinger equations. Many new families of exact soliton solutions of five complex nonlinear Schrödinger equations are successfully obtained.     

Teleportation of three-dimensional single particle state in noninertial frames

Considering the spin degree of freedom of the Dirac field, we study the entanglement behavior of a different class of communication channel and teleportation of three-dimensional single particle state in noninertial frames. Numerical analysis shows that the communication channel in our scheme can offer enough distillable entanglement for the teleportation protocol. Moreover, the teleportation protocol could work well if Rob＇s acceleration is not very big, but the fidelity of the teleportation is still reduced due to the Unruh effect.     

无网格法在三维复杂超音速流场模拟中的应用研究

对最小二乘无网格方法在含复杂外形三维超音速流场中的应用进行了研究.选用分解法求解采用最小二乘法得到的对称方程组,针对最小二乘无网格方法的计算特点生成近似正交均匀分布的离散点,对B1AC2R常规导弹超音速流场采用最小二乘无网格方法进行了无粘数值模拟,计算了B1AC2R常规导弹在不同攻角下的轴向力、法向力及俯仰力矩系数,并将数值结果与实验结果进行了比较.结果表明,最小二乘无网格方法在求解含复杂外形超音速流场时具有较高的准确度,将其应用于三维含复杂外形超音速流场的模拟是完全可行的.     

三维荧光二阶校正同时测定人体液中伊立替康及其代谢物7-乙基-10-羟基喜树碱的含量

提出了激发发射矩阵荧光光谱与化学计量学二阶校正方法相结合用于同时快速定量人体液(血浆和尿液)中的伊立替康(CPT11)和其主要代谢产物7-乙基-10-羟基喜树碱(SN38)的绿色、高灵敏分析策略. 尽管其分析物之间以及分析物和背景之间的光谱存在严重重叠现象, 采用基于交替归一加权残差(ANWE)算法的二阶校正方法进行解析仍能得到令人满意的定性定量分析结果. 当该体系的组分数选取为3时, 可以得到血浆和尿液中CPT11的平均回收率分别为(96.8±6.3)%和(101.7±1.1)%, SN38在血浆和尿液中的平均回收率分别为(100.4±4.9)%和(101.6±1.1)%. 另外, 通过品质因子, 如灵敏度(SEN)、选择性(SEL)、检测下限(LOD)和定量检测限(LOQ)评估了该方法的准确性. 实验结果表明, 该方法能以“数学分离”代替繁琐的“物理和化学分离”, 成功地解决实际复杂体系中内源干扰物质与分析物光谱重叠所引起的难分辨的问题, 可用于人体液中CPT11和SN38含量的直接快速定量测定.     

频率约束的三维连续体结构动力拓扑优化设计

针对频率约束和结构重量最小的动力拓扑优化问题, 基于(independent continuous mapping, ICM)独立、连续、映射方法,建立了频率约束下的三维连续体拓扑优化模型. 利用瑞利商和一阶泰勒展式对频率约束进行了显式化处理,并采用幂函数与复合指数函数作为过滤函数,将优化模型进行了标准化转换, 利用对偶理论及数学规划法进行了求解. 另外,利用质量矩阵和刚度矩阵过滤函数比值与动态约束处理了局部模态和模态交换等数值问题. 最后,通过应用两类不同过滤函数的数值算例表明了文中模型及方法在处理动力拓扑优化问题上的合理性与有效性.      

A contrastive study on the influences of radial and three-dimensional satellite gravity gradiometry on the accuracy of the Earth's gravitational field recovery

The accuracy of the Earth’s gravitational field measured from the gravity field and steady-state ocean circulation explorer(GOCE),up to 250 degrees,influenced by the radial gravity gradient V zz and three-dimensional gravity gradient V ij from the satellite gravity gradiometry(SGG) are contrastively demonstrated based on the analytical error model and numerical simulation,respectively.Firstly,the new analytical error model of the cumulative geoid height,influenced by the radial gravity gradient V zz and three-dimensional gravity gradient V ij are established,respectively.In 250 degrees,the GOCE cumulative geoid height error measured by the radial gravity gradient V zz is about 2 1/2 times higher than that measured by the three-dimensional gravity gradient V ij.Secondly,the Earth’s gravitational field from GOCE completely up to 250 degrees is recovered using the radial gravity gradient V zz and three-dimensional gravity gradient V ij by numerical simulation,respectively.The study results show that when the measurement error of the gravity gradient is 3×10 12 /s 2,the cumulative geoid height errors using the radial gravity gradient V zz and three-dimensional gravity gradient V ij are 12.319 cm and 9.295 cm at 250 degrees,respectively.The accuracy of the cumulative geoid height using the three-dimensional gravity gradient V ij is improved by 30%-40% on average compared with that using the radial gravity gradient V zz in 250 degrees.Finally,by mutual verification of the analytical error model and numerical simulation,the orders of magnitude from the accuracies of the Earth’s gravitational field recovery make no substantial differences based on the radial and three-dimensional gravity gradients,respectively.Therefore,it is feasible to develop in advance a radial cold-atom interferometric gradiometer with a measurement accuracy of 10 13 /s 2-10 15 /s 2 for precisely producing the next-generation GOCE Follow-On Earth gravity field model with a high spatial resolution.     

三维轮廓扫描法测量透镜曲率半径的实验研究

三维轮廓扫描方法可通过连续扫描透镜表面三维空间形貌,拟合得到其曲率半径值。该方法具有测量精度高、可任意选定测量区域、测量力微弱、对光学表面划伤可忽略等优点。通过实验,研究了三维轮廓扫描法测量透镜曲率半径的精度,并分析了测量区域大小、扫描间距等因素对测量精度的影响。实验结果表明,该方法测量凸、凹球面透镜的曲率半径的相对重复性可达到110-6。     

鄱阳湖三维水质模拟软件设计与仿真

随着鄱阳湖生态经济区建设的推进,鄱阳湖水环境保护问题引起了各方高度关注。通过建立水质数学模型,用计算机进行模型求解、模拟和预测,以及设计相应的水质模拟仿真软件来进行水污染扩散仿真,是水污染控制和水环境管理的有效手段。鉴于国外三维水质数据模拟软件价格高、使用受限以及鄱阳湖三维水质数据模拟的特定应用研究需求,利用软件工程的结构化方法和图形可视化技术,设计了一个面向鄱阳湖三维水质数据模拟和分析的软件工具WSAT/H3D-PYH。通过使用该软件进行BOD和DO扩散模拟和趋势预测实验表明,软件具有较好的预测精度,并能以可视化形式直观分析和预测未来一段时间湖区水质浓度的变化趋势。此外,软件还可对局部点污染源扩散进行动态模拟,以便于对突发污染事件可能造成的后果进行提前的估计,为后续治理方案措施的制定提供很好的依据。