光栅投影相位法系统模型及标定方法

本文针对传统投影光栅相位法的光学三角法模型进行了改进,采用直入射光路并配合使用一种简便易行的标定方法,只需使用相移公式求取相位差,而不会引入与系统几何位置关系有关的量,简化了求取高度矩阵的要求。实验结果表明,新系统模型精度良好,测量误差为0.107 mm。采用该模型和标定方法可以克服传统方法系统模型的局限性,最大限度减少误差源并提高抗干扰性。     

Finite Integral Transform Solutions for Free Vibrations of Rectangular Thin Plates With Mixed Boundary Constraints北大核心CSCD

Analytical solutions, with unique research value, can serve as benchmarks for empirical formulas and numerical methods, a tool for rapid parameter analysis and optimization, and a theoretical basis for experimental designs. Conventional analytical methods, e.g., the Lévy solution method, are only applicable to mechanical problems of plates and shells with opposite simply-supported edges, which, however, may fail to obtain analytical solutions for the issues with complex boundary constraints. In recent years, the finite integral transform method for plate and shell problems was developed to deal with non-Lévy-type plates and shells, but it is still infeasible to solve the mixed boundary constrains-induced complex boundary value problems of higher-order partial differential equations. Herein, for the first time, the finite integral transform method was combined with the sub-domain decomposition technique to solve the free vibrations of rectangular thin plates with mixed boundary constraints. The rectangular plate was first divided into 2 sub-domains according to the mixed boundary constraints, and the 2 sub-domains were solved analytically with the finite integral transform method. Finally, the continuity conditions were introduced to obtain the analytical solution of the original problem. Based on the side spot-welded cantilever plates commonly used in engineering, the free vibration problem of a rectangular thin plate with 1 edge subjected to clamped-simply supported constraints and the other 3 edges free, was analyzed. The obtained natural frequencies and mode shapes are in good agreement with those from the finite element method as well as the solutions in literature, thus verifying the accuracy of the proposed method. The solution procedure of the finite integral transform method can be implemented based on the governing equations without any assumption of the solution form. Therefore, this strict analytical method is widely applicable to complex boundary value problems of higher-order partial differential equations for such mechanical problems of plates and shells. © 2023 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.     

A Two-Photon Femtosecond Laser System for Three-Dimensional Microfabrication and Data Storage

Utilizing the well-focused femtosecond laser with extreme high pulse intensity, we built a two-photon micro-fabrication and data storage system, which was introduced through several functional parts. Based on this homemade system, several three-dimensional microstructures were fabricated by two-photon polymerization, and three-dimensional data storage of six-layers was achieved by two-photon excitation with a photochromic material.     

BF分子X1Σ＋, A1P和B1Σ＋态的势能函数

使用SAC/SAC-CI和D95＋＋, 6-311＋＋g, 6-311＋＋g**及D95(d)基组, 分别对BF分子的基态X¹Σ^＋、第一简并激发态A¹Π和第二激发态B¹Σ^＋的平衡结构和谐振频率进行优化计算. 对所有计算结果进行比较, 得出6-311＋＋g**基组为最优基组. 运用6-311＋＋g**基组和SAC方法对基态X¹Σ^＋, SAC-CI方法对激发态A¹Π和B¹Σ^＋进行单点能扫描计算, 并用正规方程组拟合Murrell-Sorbie函数, 得到相应电子态的势能函数解析式, 由得到的势能函数计算了与X¹Σ^＋, A¹Π和B¹Σ^＋态相对应的光谱常数, 结果与实验数据较为一致.     

新型光电技术将改变潜艇作战

潜艇执行水上监视任务需要能在桅杆出水几秒钟内获取完整水上图像的先进光学／光电传感器。潜艇利用光学瞄准具和光电桅杆仔细探测和分辨难以辨认的目标或那些在远距离上通过协同或非协同的方式使用杂波有限弹道的目标。Kollmorgen光电公司、Zeiss Optronik公司和Thales光电公司等专业公司正在生产潜艇光电桅杆系统。其中，Thales公司为将多光谱成像传感器引入潜艇和将潜望镜传感器数据集成到潜艇作战系统铺平了道路。美国光电系统领域的专业公司Kollmorgen公司为包括阿根廷（2艘TR1700型SANTA CRUZ级潜艇）、荷兰（4艘WALRUS级潜艇）和意大利（装备6艘SAURO级潜艇）在内的世界范围用户提供各种先进的光电桅杆系统。     

铝热法的反应

以铝(铝热法)来还原金属氧化物的反应,有着很重大的实用意义。利用铝热法可以获得一系列的金属(如Cr,Mn,V等等)。在中等学校里,铝热法反应的实验通常是按照维尔贺夫斯基教授所写的以“学校化学实验法和技术”为主的材料进行的。进行这种实验,除加热剂外,平常是应用特种可燃的混合物;这种混合物是由铝粉和过氧化钡以及一小条的镁条组成的。如果     

四硅氧烷Gemini咪唑表面活性剂的合成及表面性能

以三甲基氯硅烷、 γ-氯丙基三氯硅烷、 1,4-二氯丁烷和咪唑等为原料合成了一种新型的四硅氧烷Gemini咪唑表面活性剂([Si₄-4-Si₄im]Cl₂), 通过质谱(MS)和核磁共振氢谱(¹H NMR)证明所得产物为目标产物. 通过Wilhelmy板法测得其在25 ℃下的临界胶束浓度(cmc)为0.54 mmol/L, 水溶液的表面张力(γ_cmc)降至18.6 mN/m. 通过电导率法研究了其胶束形成热力学参数(Δ\begin{array}{c}{G}_m^{0—}\end{array},Δ\begin{array}{c}{H}_m^{0—}\end{array}和Δ\begin{array}{c}{S}_m^{0—}\end{array}), 表明在15~35 ℃下其胶束化过程是自发进行的, 且为熵驱动过程.     

一种新型深组合GPS／INS系统的设计与性能仿真研究

本文提出和研究了一种新的深组合ＧＰＳ／ＩＮＳ系统设计方法，它适用于干扰环境中的各类高动态载体。其特点是利用自适应码跟踪误差估计器，使组合卡尔曼滤波器获得白化的伪距量测残差，将组合卡尔曼滤波器纳入码跟踪环路，用以代替传统的速率辅助的延迟锁定环。组合卡尔曼滤波器根据信号的噪声、动态、以及ＩＮＳ的误差，自适应地改变码环的跟踪特性，同时也完成惯性导航系统误差的估计。它能克服常规组合系统不稳定性问题，仿真结果表明，在机动飞行和强干扰状态下，这种组合导航系统具有较高的导航精度和良好的信号跟踪及抗干扰性能。     

三重-比导数分光光度法及其应用研究

提出了可以应用于三元混合物同时测定的三重 比导数分光光度法,阐述了三重 比导数分光光度法的基本原理,研究了三重 比导数分光光度法在三元复方制剂增效联磺片中磺胺甲口恶唑(SMZ)、磺胺嘧啶(SD)、甲氧苄啶(TMP)的同时测定。试验结果表明,增效联磺片中SMZ、SD、TMP的回收率分别为102 1%(RSD=2.7%,n=20)、100.5%(RSD=1.8%,n=20)、101.2%(RSD=4 3%,n=20)。     

E.Dinc的双除数因子-比光谱导数法的错误性

E .Dinc等人曾提出双除数因子 比光谱导数法 ,并应用于两种三元混合体系的同时测定。实际上 ,双除数因子 比光谱导数法是完全错误的 ,它不能成功应用于三元混合体系的同时测定。文章从理论上和实践上证明了E .Dinc方法的错误性。