激光与材料热作用的数值模拟研究

用有限差分方法数值模拟了激光对材料加热作用的过程。建立了激光材料中激发瞬态温度场的隐格式有限差分模型，该模型考虑了激光作用过程中材料的热物理参数依赖于温度的特性，得到了材料中瞬态温度场分布曲线。获得了材料中瞬态温度场分布集中于一个非常小的区域的结论，为激光加工及激光超声的产生提供了理论基础。     

动力调谐陀螺仪的瞬态动力学及误差分析

为了建立陀螺仪在过载—振动复合环境下的误差模型,应用有限元分析软件ANSYS,针对某型导弹使用的动力调谐陀螺仪的结构,建立基于具体参数的实体和有限元动力学模型,并开展了陀螺仪的瞬态动力学分析研究,由此计算由于陀螺转子和平衡环的质心偏移造成的陀螺仪漂移误差,得到在过载—振动复合环境下陀螺仪漂移角速度与在过载、振动单一环境下漂移角速度之间的关系。     

单边抛物线形柔性铰链的计算与性能分析

提出了一种单边抛物线形柔性铰链,以力学卡氏第二定理和微积分为理论基础,推导了单边抛物线形柔性铰链柔度和转动精度的闭环解析公式,利用有限元的方法对柔性铰链的解析公式进行校验,结果表明:有限元方法与闭环解析式的结果基本一致.并对单边抛物线形柔性铰链的性能进行分析,得出了结构参数对其柔度性能的影响关系,并通过对双边抛物线形柔性铰链比较,分析了单边抛物线形柔性铰链的转动能力、转动精度和对轴向载荷的影响等性能,为柔性铰链在结构紧凑、大位移场合的工程应用提供了有价值的参考.     

电子束曝光机工作台吊装结构动态特性的研究

正在研制的激光定位吊装结构工作台系统是电子束曝光机的主要组成部分。本文概述了工作台吊装结构的特点,用有限元法建立了吊装结构的三维实体力学模型,在理论上对其进行了动态特性分析与计算,并用锤击法进行了测试。分析与实验表明,工作台吊装结构抗冲击能力很强,能够满足电子束曝光机高精度和高速度的要求。     

一种具有自动纠错功能的FIR滤波器研究

提出了一种有效实现自动纠错功能FIR数字滤波器技术,该技术采用2种不同架构的标准滤波器通过并行操作来完成。任一滤波器软错误的发生就会引起两个滤波器输出不匹配,达到检测错误的目的,增强了传统滤波器对差错检测和差错纠正的支持。最后对该滤波器地性能进行评估,该滤波器性能良好,纠错率接近100%,可广泛运用在各种信号处理中。     

分析宽频带、双极化、恒束宽四脊喇叭的混合方法

介绍了作为反射面天线馈源的宽频带、双极化、恒波束四脊喇叭，运用有限元和模式匹配相结合的混合法详细且计算了四脊喇叭的广义散射矩阵。然后运用口面积分计算了四脊喇叭的辐射远场，给出了四脊喇叭和用四脊喇叭做馈源的反射面天线的实测结果。     

The Optimal Error Estimate of the Fully Discrete Locally Stabilized Finite Volume Method for the Non-Stationary Navier-Stokes Problem

This paper proves the optimal estimations of a low-order spatial-temporal fully discrete method for the non-stationary Navier-Stokes Problem. In this paper, the semi-implicit scheme based on Euler method is adopted for time discretization, while the special finite volume scheme is adopted for space discretization. Specifically, the spatial discretization adopts the traditional triangle P1−P0 trial function pair, combined with macro element form to ensure local stability. The theoretical analysis results show that under certain conditions, the full discretization proposed here has the characteristics of local stability, and we can indeed obtain the optimal theoretic and numerical order error estimation of velocity and pressure. This helps to enrich the corresponding theoretical results.     

LCOS显示芯片像素单元热分析

热分析技术是LCoS芯片可靠性设计的关键所在,通过使用有限元分析软件ANSYS建立了LCoS芯片像素单元的有限元模型,严格模拟了LCoS显示芯片工作时像素单元内部的热场分布情况,实验结果为LCoS芯片及其应用系统的热设计提供了重要的数值依据.     

TRANSIENT TORSIONAL WAVE IN FINITE HOLLOW CYLINDER WITH INITIAL AXIAL STRESS

An analytical solution is obtained for transient torsional vibration of a finite hollow cylinder with initial axial stress. The cylinder is subjected to dynamic shearing stress at the internal surface and is fixed at the external surface. The basic equations are presented and the solution is obtained by means of Fourier series expansion technique and the separation of variables method. The effects of the initial stress on the natural frequencies and transient torsional responses are presented and discussed.     

Numerical Study on an RBF-FD Tangent Plane Based Method for Convection–Diffusion Equations on Anisotropic Evolving Surfaces

In this paper, we present a fully Lagrangian method based on the radial basis function (RBF) finite difference (FD) method for solving convection–diffusion partial differential equations (PDEs) on evolving surfaces. Surface differential operators are discretized by the tangent plane approach using Gaussian RBFs augmented with two-dimensional (2D) polynomials. The main advantage of our method is the simplicity of calculating differentiation weights. Additionally, we couple the method with anisotropic RBFs (ARBFs) to obtain more accurate numerical solutions for the anisotropic growth of surfaces. In the ARBF interpolation, the Euclidean distance is replaced with a suitable metric that matches the anisotropic surface geometry. Therefore, it will lead to a good result on the aspects of stability and accuracy of the RBF-FD method for this type of problem. The performance of this method is shown for various convection–diffusion equations on evolving surfaces, which include the anisotropic growth of surfaces and growth coupled with the solutions of PDEs.