Interval finite element method and its application on anti-slide stability analysis

The problem of interval correlation results in interval extension is discussed by the relationship of interval-valued functions and real-valued functions. The methods of reducing interval extension are given. Based on the ideas of the paper, the formulas of sub-interval perturbed finite element method based on the elements are given. The sub-interval amount is discussed and the approximate computation formula is given. At the same time, the computational precision is discussed and some measures of improving computational efficiency are given. Finally, based on sub-interval perturbed finite element method and anti-slide stability analysis method, the formula for computing the bounds of stability factor is given. It provides a basis for estimating and evaluating reasonably anti-slide stability of structures.     

基于单元的子区间摄动有限元方法研究

针对区间相关性导致区间扩张的问题,探讨了区间数之间的相关性并给出了降低区间扩张的子区间摄动方法。文中给出了基于单元的子区间摄动有限元计算公式和子区间划分数目的近似计算公式,同时文中讨论了区间有限元计算精度问题,给出了可提高计算效率的一些措施。对桁架结构和平面应力问题梁结构算例分析结果表明文中方法可以达到一定的计算精度,并且是合理可行的。     

两种各向异性材料界面周期裂纹的反平面问题

研究两种各向异性材料界面含周期裂纹的反平面剪切问题，运用复变函数方法，获得了封闭形式解答，并给出了应力强度因子公式。从本文解签的特殊情形，可直接导出均匀各向异性材料共线裂纹，两种各向同性材料界面裂纹的相应问题公式。     

MINIMAL POLYNOMIAL MATRIX AND LINEAR MULTIVARIABLE SYSTEMS(Ⅰ)

part(Ⅰ)of this work is on the theory of minimal polynomial matrix and Part(Ⅱ)onthe applications of this theory to linear multivariable systems.In Part(Ⅰ).concepts of annihilating polynomial matrix and the minimal polynomialmatrix of a given linear transformation in a vector group are given and the concepts of thegenerating system and minimal generating system of an invariant subspace for a givenlinear transformation are given as well.After discussing the basic properties of theseconcepts the relations between them and the characteristic matrix corresponding to aninduced operator of a given linear transformation in any of its invariant subspace arestudied in detail.The characteristics of the minimal polynomial matrix for a given vectorgroup and the necessary and sufficient condition for the two generating systems to have thesame generating subspace is given.Using these results we can give the expression for the setof all B’s which makes the system x=Ax Bu a complete controllable system for a givenA.     

Reduced equilibrium equations for perfectly elastic materials

Sufficient conditions are given on the coordinate systems which enable reduced equilibrium equations to be derived for perfectly elastic materials involving deformations which depend in an essential way only on two of the three coordinates. Reduced equilibrium equations given previously for plane and axially symmetric deformations are special cases of the equations given here. These equations considerably reduce the calculations involved in investigating possible solutions of finite elasticity, either exact semi-inverse solutions or approximate perturbation solutions. Moreover a formula for the pressure function appearing in the reduced equilibrium equations is given which relates to the corresponding pressure function associated with the inverse deformation. This formula is similar to one given previously for fully three dimensional deformations.     

结构的多机并行分析Ⅱ——PPCG法的实现

以多Transputer系统为应用的硬件环境,本文讨论文[1]中提出的PPCG1法和PPCG2法的实现问题,给出了用3L并行Fortran语言编写PPCG法应用程序的实现方法。特别讨论了与通讯有关的计算,给出了有关的并行Fortran程序段。最后用算例说明了PPCG1和PPCG2法的有效性。     

Elastostatics with non absolutely continuous data

The main problem of classical elastostatics is considered when given body forces and surface forces act on the body. The problem is studied in the case when the given forces are represented by general vector measures, i.e. when concentrated loads may be given on subsets either of the body or of its boundary. An existence and uniqueness (up to rigid displacements) theorem is proved. Conditions under which the energy integral is finite are given.     

对称重陀螺的非线性稳定性及分叉

本文在Movchan意义下给出对称重陀螺在完全耗散力作用下永久转动的非线性稳定准则,所涉及的某些平衡态是非孤立的,给出了Movchan意义下渐近稳定区的主要子域,并详细地讨论了分叉现象。     

Holographic moiré in real time

The body of knowledge necessary to observe holographic-moiré patterns in real time is introduced. The basic factors influencing fringe visibility in holographic moiré are analyzed and expressions to evaluate fringe visibility for any given displacement and deformation are given. The application of the introduced theory in the case of real-time observation is discussed. It is shown that the maximum benefits of this technique are achieved by combining it with closed-circuit TV. Several examples of application are given.     

三维气泡羽流建立区流动形态的观察

本文对三维气泡羽流(Bubble plume)建立区流动形态进行了实验研究,给出实验参数的确定、实验方法与装置以及所取得的结果。