一种具有低振动灵敏度和宽动态范围的MEMS陀螺仪(英文)

为了进一步提高MEMS陀螺的动态范围和振动环境适应性,以加速其工程化应用步伐,研究了陀螺振动误差,提出了一种新型MEMS陀螺结构。MEMS陀螺仍然采用了音叉结构形式,同时采用了工字型框架和隔离结构,从而提高了陀螺结构的稳定性和抗振动性能,并降低了残余应力对陀螺影响。理论分析了驱动和检测模态频差对标度因数非线性的影响,并基于理论和实验分析了振动环境中的角振动对陀螺性能的影响。在此基础上,进行了陀螺的模态优化设计,以进一步减小了陀螺的振动灵敏度,并使其具有大动态范围。MEMS陀螺采用了SOI圆片制备,并采用了圆片级真空封装技术实现陀螺芯片的真空封装。MEMS陀螺芯片和ASIC芯片叠装在陶瓷管壳内,体积为11.4?11.4?3.8 mm3。实验结果表明,MEMS陀螺的测量范围为±7200 (°)/s,零偏稳定性为12.2 (°)/h(1σ)。随机振动环境下(7.6grms),该陀螺的振中零偏变化量小于10.0 (°)/h,振中的零偏稳定性小于24.0 (°)/h,是原陀螺的1/5。     

基于LIBS技术的水泥粉末在线成分分析

在工业现场生产水泥的过程中，各种成分的含量直接影响着水泥的质量，因此如何快速准确地监测水泥中各个成分的含量意义重大。采用的实验方式为，将不经过任何预处理的水泥粉末直接放入位于二维移动平台上的物料盒中，通过激光诱导击穿光谱(LIBS)直接对水泥粉末表面的不同位置进行激发检测，对得到的光谱数据首先进行归一化和主成分分析等预处理操作，然后针对水泥中Ca, Si, Al, Fe, Mg五种元素，分别建立偏最小二乘(PLS)和支持向量回归(SVR)两种定量分析模型进行方法比较。此外，对比了粉末状水泥与压片式水泥两种测量方式的结果。实验结果表明，采用粉末状水泥直接测量的方式下，针对水泥样品元素浓度与所得到的光谱中特征线强度的关系，SVR方法比PLS方法更具优势，粉末状水泥直接测量的精度接近压片式测量的精度，说明LIBS技术对水泥粉末状样品直接在线测量具有可行性。     

NONLINEAR DYNAMICS AND SYNCHRONIZATION OF TWO COUPLED PIPES CONVEYING PULSATING FLUID

In this paper, the nonlinear dynamical behavior of two coupled pipes conveying pulsating fluid is studied. The connection between the two pipes is considered as a distributed linear spring. Based on this consideration, the equations of motion of the coupled two-pipe system are obtained. The two coupled nonlinear partial differential equations, discretized using the fourth- order Galerkin method, are solved by a fourth-order Runge-Kutta integration algorithm. Results show that the connection stiffness has a significant effect on the dynamical behavior of the coupled system. It is found that for some parameter values the motion types of the two pipes might be synchronous.     

广义线性常微分方程线性边值问题（英文）

本文研究如下形式的边值问题x(t)-x(0)-∫t0d[A(s)]x(s)=f(t)-f(0),t∈[0,1],(*)Mx(0)+Nx(1)+ε∫10K(τ)d[x(τ)]=r,(**)其中A,K是m×n矩阵值函数,f是一个n维实向量值函数.并且A,K在[0,1]上是有界变差且正则的,f在[0,1]上也是正则的,ε∈[0,1]是一个参数.本文得出问题(*)(**)解的存在唯一性条件,并讨论该问题的伴随问题.     

Erlang(2)扩散风险模型的Gerber-Shiu期望折现惩罚函数

将由布朗运动刻画的随机干扰项加入到Erlang(2)风险模型中,在模型中引入了由Gerber和Shiu定义的期望折现惩罚函数,并给出了这类模型的Gerber-Shiu函数所满足的积分微分方程.     

New method to solve electromagnetic parabolic equation

This paper puts forward a new method to solve the electromagnetic parabolic equation （EMPE） by taking the vertically-layered inhomogeneous characteristics of the atmospheric refractive index into account. First, the Fourier transform and the convo- lution theorem are employed, and the second-order partial differential equation, i.e., the EMPE, in the height space is transformed into first-order constant coefficient differential equations in the frequency space. Then, by use of the lower triangular characteristics of the coefficient matrix, the numerical solutions are designed. Through constructing ana- lytical solutions to the EMPE, the feasibility of the new method is validated. Finally, the numerical solutions to the new method are compared with those of the commonly used split-step Fourier algorithm.     

一类具有p-Laplacian算子的非线性分数阶微分方程m点边值问题解的存在性

讨论具有p-Laplacian算子的非线性分数阶微分方程m点边值问题的解的存在性,研究结果是建立在不动点定理和压缩映射原理基础上.此外给出两个例子来说明结果.     

On the Rayleigh-Plateau instability

In this paper,we study the surface instability of a cylindrical pore in the absence of stress. This instability is called the Rayleigh-Plateau instabilty. We consider the model developed by Spencer et ...