Quantum Lax Operators and Discrete 2+1-Dimensional Integrable Models

A specific quantum Lax operator, forming a quantum U _q (sl n) chain, is suggested. The intertwining R L L relation is proved. The invariant local 2+1-dimensional reformulation of the auxiliary linear problem for the L-operator is discussed.     

三维轴对称折叠腔CO2激光器的位相锁定

在一新型三维轴对称腔CO2激光器的基础上提出了一种对此激光器位相锁定的方法。通过在输出镜后放置一具有反射和整形作用的凹凸镜，让作为输出注入光束的谐振腔优先起振。此腔输出的光束到达凹凸镜时被其反射。利用重新定义光斑半径的方法，证明此光束能够覆盖其他放电管输出的光束，根据几何光学，此光束能反射进入各个放电管。然后利用光子简并度的概念证明了反射光束能够控制腔内的本征模式，并且数值分析了注入锁定后腔内模式匹配。在反射注入锁定的情况下，给出了数值计算的光强输出及其模拟，结果证明经位相锁定后，激光器输出光束的质量有了很大的提高。     

计算流管声场的三维有限元数值模型

发展了一种三维有限元数值模型和计算方法来对矩形流管声场进行整体的计算.与以往的二维方法相比,此种数值方法不仅全面反映了矩形流管内声波的传播情况,而且提高了网格精度,从而大大扩展了对铺设有声衬的流管的计算领域.结果表明,该数值模型是有效和准确的,与其它方法和文献的计算结果吻合得非常好.同时,在大大增加计算量的同时,也对程序代码进行了优化工作,提高了计算效率.     

射频场照射下同核体系的弛豫

根据WBR理论和同核体系的特点,构造出了一个相应的三维转动,利用Wigner旋转矩阵的特性并借助于计算机代数语言,计算出了射频场照射下同核体系完整的弛豫方程组.在此基础上,给出了射频场照射下纵向与横向弛豫时间的计算公式,并从理论上研究了射频场的照射对同核体系弛豫的影响.研究结果表明:1)射频场的照射对同核体系的弛豫有一定程度的影响.2)在射频场的照射下,同核体系的纵向弛豫时间T1小于无射频场时的T1,而横向弛豫时间T2大于无射频场时的T2.3)纵向弛豫时间T1随射频场的增强而逐渐减小,横向弛豫时间T2随射频场的增强而逐渐增大. 关键词： 核磁共振 弛豫 射频场 三维转动     

焊接变形光学测量技术研究

针对薄板焊接变形测量难的问题,提出了一种非接触式三维光学实时测量薄板焊接变形的新方法。首先通过2个高分辨率高速数字相机从不同观察点同时拍摄物体运动的视频图像;然后运用三维重建技术,包括共线方程、基于共面方程的像片定向、直接线性变换解法、外极线几何约束和光束平差解法等重建待测标志点的三维坐标;最后依据同名点将不同时刻薄板的变形状态关联起来,计算出待观测点的焊接变形量,并实时绘制显示出变形曲线。与传统方法相比,该方法具有不受焊接温度及强烈干扰影响和实时、高效、高精度等优点。     

基于WebGL的舰船模拟训练虚拟三维技术应用

由于目前国内的舰船模拟训练系统大多均为岸基模拟器,和半实物半仿真的应用模式,受制于该传统方式下系统通用性、可扩展性差,成本高等局限性;提出一种基于WebGL的舰船模拟训练虚拟三维环境,采用其应用框架Three.js图形引擎库在网页中绘制3D虚拟交互界面,可直接通过浏览器登录系统,从而给出了可跨平台免插件高效的舰船模拟训练界面;结果表明该方法在人机交互界面的友好性、监控的直观性、训练操作的便捷性、较强的沉浸性等方面具有优势,亦可推广应用于其他模拟训练领域。     

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。     

某跨音风扇转子全三维设计与数值模拟

本文采用与三维流场分析程序相匹配的任意叶轮机通用叶片造型程序,进行某单级高通流、跨音、宽弦长风扇转子设计。在设计过程中,通过调整转子进口流量、出口总压、叶片最大相对厚度和前后缘厚度等参数沿径向的分布,弯度和最大弯度位置沿弦向的分布,从设计上减弱了叶片上部的激波强度、降低了激波及其关联的损失,克服了该转子叶尖高相对马赫数和低损失、高效率的矛盾。最终获得满足气动性能和结构强度的风扇转子.     

Hydrogen-bonded Three-Dimensional Networks Encapsulating One-dimensional Covalent Chains: [Cu(3-ampy)(H2O)4](SO4)·(H2O) (3-ampy = 3-Aminopyridine)

A three-dimensional complex [Cu(3-ampy)(H2O)4](SO4)·(H2O) (3-ampy = 3-aminopyridine) has been synthesized. Crystallographic data: C5H16CuN2O9S, Mr = 343.80, triclinic, space group P, a = 7.675(2), b = 8.225(3), c = 10.845(3) (A), α= 86.996(4), β = 76.292(4),γ = 68.890(4)°, V = 620.0(3) (A)3, Z = 2, Dc = 1.841 g/cm3, F(000) = 354 and μ = 1.971 mm-1. The structure was refined to R = 0.0269 and wR = 0.0659 for 1838 observed reflections (I ＞ 2σ(Ⅰ)). The structure consists of [Cu(3-ampy)(H2O)4]2 cations, SO42- anions and lattice water molecules. 3-Ampy acting as a bidentate bridging ligand generates a 1D covalent chain. A supramolecular 2D framework is formed through π-π stacking of pyridine rings. The lattice water molecules and SO42- anions are located between the adjacent 2D frameworks. The hydrogen bonding interactions from lattice water molecules and SO42- anions to coordinate water extend the 2D framework into a 3D network.     

Experimental investigation of methane hydrate decomposition by depressurizing in porous media with 3-Dimension device

In order to simulate the behavior of gas hydrate formation and decomposition, a 3-Dimension experimental device was built, consisting of a high-pressure reactor with an inner diameter of 300 mm, effective height of 100 mm, and operation pressure of 16 MPa. Eight thermal resistances were mounted in the porous media at different depthes and radiuses to detect the temperature distribution during the hydrate formation/decomposition. To collect the pressure, temperature, and flux of gas production data, the Monitor and Control Generated System (MCGS) was used. Using this device, the formation and decomposition behavior of methane hydrate in the 20～40 mesh natural sand with salinity of 3.35 wt% was examined. It was found that the front of formation or decomposition of hydrate can be judged by the temperature distribution. The amount of hydrate formation can also be evaluated by the temperature change. During the hydrate decomposition process, the temperature curves indicated that the hydrate in the top and bottom of reactor dissociated earlier than in the inner. The hydrate decomposition front gradually moved from porous media surface to inner and kept a shape of column form, with different moving speed at different surface position. The proper decomposition pressure was also determined.