数字散斑干涉三维变形测量技术研究进展

三维变形可以转换为应力/应变分布，是材料性能测试和结构可靠性分析的关键参数。在众多三维变形测量技术中，数字散斑干涉技术可以高精度地测量三维变形信息，在航空航天、汽车、先进制造、土木工程和生物医学等行业发挥着十分重要的作用。从散斑干涉基本原理出发，详细介绍了几类三维变形散斑干涉测量技术，并分析比较各类方法的优缺点；同时介绍了散斑干涉三维变形测量技术的国内外研究进展和最新应用；最后展望了散斑干涉三维变形测量技术在动态同步测量、测量系统简化以及应用范围扩宽等方面的发展趋势。     

非宇称时间对称耦合器中的非局域孤子

研究了非宇称时间对称复数势下非线性耦合器中多类型非局域孤子的存在性和稳定性,发现基态孤子、偶极孤子、多极孤子分别从线性谱中不同的离散特征值分叉出来形成孤子族,其功率受非局域程度和传播常数的影响.在相变以下,各个类型孤子均在相对较低功率区间是稳定的.随着非局域程度的增加,基态孤子族的稳定区域变小,其他孤子族的稳定区域则变大.在相变以上,基态孤子则在相对中功率区是稳定的,并且从第二大离散特征值分叉出的偶极孤子不存在稳定区域.孤子线性稳定性分析结果中的特征值总是以共轭对的形式出现.此外,还研究了耦合系数对孤子态的影响.     

Solutions to the system of operator equations AXB=C=BXA

In this paper, we present some necessary and sufficient conditions for the existence of solutions, hermitian solutions and positive solutions to the system of operator equations AXB=C=BXA in the setting of bounded linear operators on a Hilbert space. Moreover, we obtain the general forms of solutions, hermitian solutions and positive solutions to the system above.     

“配方法解一元二次方程”教学设计

一、教情分析 (一)教学内容 浙教版义务教育课程标准教科书数学八年级下册第5章第4节“乘法公式(1)”. (二)教学目标 知识技能目标:理解配方法的意义,会用配方法解数字系数的一元二次方程. 过程方法目标:通过探索配方法的过程,培养观察、归纳、概括能力,体会转化的数学思想方法. 情感态度目标:在独立思考和合作探究中感受成功的喜悦,体验数学的价值,增强学习数学的兴趣.     

New multiplexed system for synchronous measurement of out-of-plane deformation and two orthogonal slopes

We propose a novel system for synchronous measurement of out-of-plane deformation and two orthogonal slopes using a single camera. The linearly polarized reference beam introduced by an optical fiber interferes with the unpolarized object beam to measure the out-of-plane deformation. A modified Mach—Zehnder interferometer is used to measure the two orthogonal slopes of the out-of-plane deformation. One of the object beams of the Mach—Zehnder interferometer is an unpolarized beam, and the other object beam is split into two orthogonal linearly polarized object beams by a polarizing prism. The two beams are orthogonally polarized. Hence, they will not interfere with each other. The two polarized beams respectively interfere with the unpolarized beam to simultaneously measure the two orthogonal slopes of the out-of-plane deformation. In addition, the imaging lens and apertures are respectively placed in three optical paths to independently control the carrier frequencies and shearing amounts. The effectiveness of this method can be proved by measuring two pressure-loaded circular plates.