Nonlinear thickness-shear vibration of an infinite piezoelectric plate with flexoelectricity based on the method of multiple scales

This paper presents a nonlinear thickness-shear vibration model for onedimensional infinite piezoelectric plate with flexoelectricity and geometric nonlinearity. The constitutive equations with flexoelectricity and governing equations are derived from the Gibbs energy density function and variational principle. The displacement adopted here is assumed to be antisymmetric through the thickness due to the thickness-shear vibration mode. Only the shear strain gradient through the thickness is considered in the present model. With geometric nonlinearity, the governing equations are converted into differential equations as the function of time by the Galerkin method. The method of multiple scales is employed to obtain the solution to the nonlinear governing equation with first order approximation. Numerical results show that the nonlinear thickness-shear vibration of piezoelectric plate is size dependent, and the flexoelectric effect has significant influence on the nonlinear thickness-shear vibration frequencies of micro-size thin plates. The geometric nonlinearity also affects the thickness-shear vibration frequencies greatly. The results show that flexoelectricity and geometric nonlinearity cannot be ignored in design of accurate high-frequency piezoelectric devices.     

矩阵摄动和Newmark-β逐步积分相结合的不确定性结构载荷识别

为了反演作用在不确定性结构上的动态激励上下界,在时域内建立了一个矩阵摄动和Newmark-β逐步积分相结合的载荷识别算法。首先依据矩阵摄动理论将动载荷近似表示为中值和摄动量相叠加的一阶泰勒多项式形式,然后引入Newmark-β逐步积分算法对振动学微分方程解耦,推导一个将输入载荷、输出响应和结构特性联系在一起的线性振动离散方程,借助该方程反求出动载荷的中值和摄动量,最终获得动载荷的上下边界。数值算例结果表明,该方法可以高效准确地重建载荷的上下边界,并具有优良的抗噪性能。     

一种可视化检测肼的苯并噁唑类荧光增强型探针

以苯并噁唑为荧光基团，合成和表征了一种用于可视化检测N₂H₄的荧光增强型探针(HL2)，并研究了其光谱性质。实验结果表明，HL2对N₂H₄具有高的选择性和灵敏度，抗干扰能力强，响应快，它对N₂H₄的检测限为0.072 μmol·L^-1。此外，HL2可应用于实际水体样品中N₂H₄的检测，并且还能实现HeLa细胞中N₂H₄的荧光成像。     

Beam dynamics studies on BEPC-Ⅱstorage rings at the commissioning stage

During the 1st and 2nd stages of the commissioning of the upgrade project of the Beijing Electron Positron Collider(BEPC Ⅱ),which started on Nov.12,2006 and Oct.24,2007,respectively,we got the luminosity one tenth of its design value,provided beams to synchrotron radiation users for about 4 months,and studied beam dynamics as well.In this paper,some beam dynamics studies on the storage rings and their preliminary results are given.     

The simulation of ultrasonic beams with a Gaussian beam equivalent point source model

Point Sources and Gaussian beams are used frequently as fundamental building blocks for developing ultrasonic beam models. Both these models have different weaknesses that limit their effectiveness. Here, we will show that one can develop a Gaussian Beam Equivalent Point Source （GBEPS） model that removes those weaknesses and combines the accuracy and versatility of the point source models with much of the speed and well-behaved nature of Gaussian beam models. We will demonstrate the efficiency and versatility of this new GBEPS model in simulating the beams generated from ultrasonic phased arrays, using as few as one Gaussian beam per element of the array. A single element GBEPS model will be shown to be as accurate as a point source model even when substantial beam focusing or steering is present in the array or where the array beam is transmitted through an interface. At the same time the GBEPS model will be shown to be several orders of magnitude faster than the point source model.     

Ce∶LuAG闪烁晶体的生长研究

Ce∶LuAG晶体是一种性能优良的闪烁材料,但采用提拉法生长Ce∶LuAG时,经常出现开裂和包裹物缺陷。本文通过理论与实践相结合的方式分析了温度梯度、提拉速度、晶体旋转速度和热应变等因素对晶体产生缺陷的影响,并提出了解决办法,给出了适合生长优质Ce∶LuAG晶体的工艺参数:熔体上方温度梯度在5 ℃/mm左右,放肩角度在30°~60°,提拉速度1.0~1.5 mm/h,晶体旋转速度15~25 r/min。最后成功生长出直径30 mm、等径长50 mm质量较为完好的Ce∶LuAG单晶,晶体内核心面积小。     

基于线上线下结合的无机定性分析实验教学

针对在实验室开设定性分析实验受到的制约,设计并开设了"无机化合物的性质与鉴定"虚拟实验,以作为常规无机定性分析实验的重要补充和扩展。虚拟实验和传统实验一并开设,构成线上线下结合的教学模式,完善知识体系,全面培养学生的无机定性分析能力。     

溶液密度法测定糖水溶液中糖分含量——推荐一个基础化学实验

介绍了一个基础化学实验——溶液密度法测定糖水溶液中糖分含量。该实验通过糖分含量-密度工作曲线测定糖水溶液中的蔗糖含量,并估算饮料中的糖含量。实验涉及多项化学实验基本操作以及作图法等实验技能,推荐作为大一学生的前期实验开设。     

基于迈克耳孙干涉光程差放大法的微小位移测量

基于迈克耳孙干涉光路,介绍了一种新的测量微小位移的实验方法.通过在迈克耳孙干涉原光路中添加平行平面镜组,使入射光和反射光在反射镜组中多次反射.当平行平面镜之间的距离发生微小变化后,两反射光束之间光程差将会被放大,通过观测干涉条纹的变化可以计算出微小的位移.设计了实验光路,对该方法进行了实验验证.与传统的迈克耳孙干涉实验相比,该方法的测量精度有很大的提高.