Quantum analysis of measurement results

It is shown that a stochastic matrix operator (quantum measurement matrix) may be considered in some cases as a density matrix. Results of measurements in the form of figure numbers, interconnected with a matrix of quantum measurements, are similar to quantum observable quantities determined in quantum statistical theory. __________ Translated from Izmeritel’naya Tekhnika, No. 12, pp. 3–8, December, 2006.     

The perturbation method and the extended finite element method. An application to fracture mechanics problems

The extended finite element method has been successful in the numerical simulation of fracture mechanics problems. With this methodology, different to the conventional finite element method, discretization of the domain with a mesh adapted to the geometry of the discontinuity is not required. On the other hand, in traditional fracture mechanics all variables have been considered to be deterministic (uniquely defined by a given numerical value). However, the uncertainty associated with these variables (external loads, geometry and material properties, among others) it is well known. This paper presents a novel application of the perturbation method along with the extended finite element method to treat these uncertainties. The methodology has been implemented in a commercial software and results are compared with those obtained by means of a Monte Carlo simulation.     

新型横向磁场电机的标量磁位三维磁场分析与参数计算

提出了一种新型横向磁场电机（TFM），定子采用E型铁心，可以大大降低加工难度和制造成本。但是，该电机磁路复杂，需采用三维场场进行分析。在三维有限元磁场中，如果对电流区域进行适当处理，采用标量磁位进行分析，与采用矢量磁位相比，可大大提高计算速度。对电流区域在三维磁场计算中的处理方法进行了推导，根据所推导的原理编制三维有限元软件，利用该软件对样机磁场进行计算。试验结果表明了该方法的正确性。     

有限差分法计算HF分子的振动能级和光谱

本文用有限差分法计算了HF分子的振动能级并且把计算的结果用切比雪夫法进行拟合得到了HF的光谱项,将所得结果与黄整等人的用时域有限差分法计算所的结果和实验值进行了比较。     

多元回归分析在电热式平板硫化机热板温度场中的应用

分析电热平板硫化机热板温差大的主要影响因素,重点研究热源分布情况对温差的影响.以400×400电热平板硫化机为例,应用多元回归的二次响应曲面模型及其子模型,对热源间距(电热管间距)与热板表面最大温差之间的函数关系进行预测,检验并分析预测结果(拟合曲线)的可靠程度,从而得出较合理的数学模型,即完整二次响应曲面模型.此模型可为工程设计提供参考依据.     

图形识别的有限自动机方法

针对工程图中具有某种特殊意义的图形符号(如粗糙度、标高符号等),研究了确定性有限自动机识别矢量图形的方法.从DFA出发,构造待识别图形符号的状态集合以及状态间的转换关系,然后通过搜索图形元素集合以及一定的条件进行状态转换,根据其最终所处状态判断识别结果.     

Analysis of singular stress fields at multi‐material corners under thermal loading

The scaled boundary finite‐element method is extended to the modelling of thermal stresses. The particular solution for the non‐homogeneous term caused by thermal loading is expressed as integrals in the radial direction, which are evaluated analytically for temperature changes varying as power functions of the radial coordinate. When applied to model a multi‐material corner, only the boundary of the problem domain is discretized. The boundary conditions on the straight material interfaces and the side‐faces forming the corner are satisfied analytically without discretization. The stress field is expressed semi‐analytically as a series solution. The stress distribution along the radial direction, including both the real and complex power singularity and the power‐logarithmic singularity, is represented analytically. The stress intensity factors are determined directly from their definitions in stresses. No knowledge on asymptotic expansions is required. Numerical examples are calculated to evaluate the accuracy of the scaled boundary finite‐element method. Copyright © 2005 John Wiley & Sons, Ltd.     

A finite element method for poro mechanical modelling of geotechnical problems using local second gradient models

In this paper, a new finite element method is described and applied. It is based on a theory developed to model poromechanical problems where the mechanical part is obeying a second gradient theory. The aim of such a work is to properly model the post localized behaviour of soils and rocks saturated with a pore fluid. Beside the development of this new coupled theory, a corresponding finite element method has been developed. The elements used are based on a weak form of the relation between the deformation gradient and the second gradient, using a field of Lagrange multipliers. The global problem is solved by a system of equations where the kinematic variables are fully coupled with the pore pressure. Some numerical experiments showing the effectiveness of the method ends the paper. Copyright © 2005 John Wiley & Sons, Ltd.     

钢包用滑板的热应力有限元分析

连铸钢包使用的滑动激光器是控制连铸生产过程的关键设备之一。为了确定501滑板使用中产生裂纹的原因，抑制裂纹形成，提高滑板使用寿命，本文应用有限元法进行了滑板热应力分析，并与生产中使用的滑板比较，有限元分析显示：在滑板材质一定的情况下，滑板形状以及滑板的预紧能力和固定方式是影响滑板使用寿命的基本因素。