Frame Wavelets with Compact Supports for L^2（R^n）

The construction of frame wavelets with compact supports is a meaningful problem in wavelet analysis. In particular, it is a hard work to construct the frame wavelets with explicit analytic forms. For a given n × n real expansive matrix A, the frame-sets with respect to A are a family of sets in R^n. Based on the frame-sets, a class of high-dimensional frame wavelets with analytic forms are constructed, which can be non-bandlimited, or even compactly supported. As an application, the construction is illustrated by several examples, in which some new frame wavelets with compact supports are constructed. Moreover, since the main result of this paper is about general dilation matrices, in the examples we present a family of frame wavelets associated with some non-integer dilation matrices that is meaningful in computational geometry.     

水泥聚苯模壳格构式混凝土墙体的抗侧性能试验及分析

论文介绍6片不同高宽比的水泥聚苯模壳格构式混凝土墙体在轴压力和水平往复侧推力作用下的试验,分析这种墙体的抗侧强度、刚度和延性等力学性能.试验表明,高宽比大于1的墙体破坏时表现为墙体跟部的单一水平裂缝,其他部位完好;高宽比3∶4的墙体破坏时存在多条通过格构梁柱的斜向裂缝,墙体裂缝分布密集,变形能力好.     

单函数(A,Γ)小波的存在性问题

小波分析是除了Fourier分析和Gabor分析以外一种新的时频分析工具．它被应用在信号处理、图像处理以及许多其他领域．小波分析的—个基本问题是什么样的(A,Γ)对,使得存在单函数(A,Γ)小波.本文填补了Ionascu,Yang Wang关于单函数小波存在性问题在二维情形论证中的漏洞.     

On the Pesin set of expansive geodesic flows in manifolds with no conjugate points

In this paper, we show that the Pesin set of an expansive geodesic flow in compact manifold with no conjugate points and bounded asymptote coincides a.e with an open and dense set of the unit tangent bundle. We also show that the set of hyperbolic periodic orbits is dense in the unit tangent bundle.     

一种变权综合评价方法及其在膨胀土分类中的应用

针对膨胀土胀缩等级分类问题,构造了一种新的区间关联函数,提出了"分类特征体现度越大,权重越大"的权重计算原理,给出了一种新的变权计算方法,将单指标关联函数的最大值作为其评价类的靶心坐标,根据样本与靶心的贴近度,对样本进行分类.将该方法应用于膨胀土的胀缩等级分类,其合理性和有效性得到了验证.     

石灰膨胀土团聚体微结构的扫描电镜分析

石灰改良土为团聚体骨架结构,骨架是由团聚体构成,孔隙是由团聚体间的孔隙和团聚体内部微孔隙组成,粒间孔包括胶结物孔隙和压实时团聚体之间形成的孔隙。实验证明团聚体越小越有利于石灰与土的结合,微结构为链状结构;石灰掺量主要影响团聚体的表面微结构。在饱和状态时,钙离子浸入团聚体的内部,团聚体的内层也出现与外层类似结构。相同石灰掺量的样品,饱和状态和非饱和状态时钙的重量相对含量的分布有不同,非饱和状态时表面的钙相对较多,越往内部越少,内外差异很大;而饱和状态时,外层的钙比内层稍多,内外差异较小,团聚体内部形成较大的微集聚体。     

STRUCTURAL DAMAGE MODEL OF UNSATURATED EXPANSIVE SOIL AND ITS APPLICATION IN MULTI-FIELD COUPLE ANALYSIS ON EXPANSIVE SOIL SLOPE

Focused on the sensitivity to climate change and the special mechanical characteristics of undisturbed expansive soil, an elastc-plastic damage constitutive model was proposed based on the mechanics of unsaturated soil and the mechanics of damage. Undisturbed expansive soil was considered as a compound of non-damaged part and damaged part. The behavior of the non-damaged part was described using non-linear constitutive model of unsaturated soil. The property of the damaged part was described using a damage evolution equation and two yield surfaces, i.e., loading yield (LY) and shear yield (SY). Furthermore, a consolidation model for unsaturated undisturbed expansive soil was established and a FEM program named UESEPDC was designed. Numerical analysis on solid-liquid-gas tri-phases and multi-field couple problem was conducted for four stages and fields of stress, displacement, pore water pressure, pore air pressure, water content, suction, and the damage region as well as plastic region in an expansive soil slope were obtained.     

苏州阳澄湖地区淤泥质粘土工程地质特性探讨

苏州阳澄湖周围的沼积湖积平原存在一种性质较为特殊的淤泥质粘土,其亲水性粘土矿物含量和液塑限指标均较高,但在天然状态下虽具一定的胀缩性却未达到膨胀土的标准,可是经过扰动压实后,随着干密度的增大和含水量的减少却表现出较强的胀缩性,即转变为“人工膨胀土”[1]。本文通过苏州阳澄湖东北方向某一级公路附近3个取土场土样的试验分析,探讨了此地区这种淤泥质粘土的特殊性,为以后的工程施工提供了科学依据。     

Non-expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces

In this article, we will investigate the properties of iterative sequence for non-expansive mappings and present several strong and weak convergence results of successive approximations to fixed points of non-expansive mappings in uniformly convex Banach spaces. The results presented in this article generalize and improve various ones concerned with constructive techniques for the fixed points of non-expansive mappings.