WEAK CONVERGENCE FOR NON-UNIFORM φ-MIXING RANDOM FIELDS

Let $\{\xi_{\bold t}, {\bold t} \in {\bold Z}^d\}$ be a nonuniform $\varphi$-mixing strictly stationary real random field with $E\xi_{\bold 0}=0, E|\xi_{\bold 0}|^{2+\delta}<\infty$ for some $0<\delta<1$. A sufficient condition is given for the sequence of partial sum set-indexed process $\{Z_n(A),\ A\in \Cal A\}$ to converge to Brownian motion. By a direct calculation, the author shows that the result holds for a more general class of set index ${\Cal A}$, where ${\Cal A}$ is assumed only to have the metric entropy exponent $r, 0相似文献   

A GENERAL FORM OF THE INCREMENTS OF A TWO-PARAMETER WIENER PROCESS

In this paper,we consider a general form of the increments for a two-parameter Wiener process.Both the Csorgo-Revesz‘s increments and a class of the lag increments are the special cases of this general form of increments.Our results imply the theorem that have been given by Csorgo and Revesz(1978),and some of their conditions are removed.     

有多阶固有频率要求的组合结构设计

在各子结构的振动固有特性（固有频率、振型）已知下，通过设计子结构间的连接元件，使得组合结构的多阶固有频率得到满足。在组合结构动力重分析中，以各子结构的剩余附着模态作为其保留模态的补充，进行模态缩减，保证了计算的精度，提高了计算速度。对具有刚体模态的子结构采取了移频处理技术。文中给出的两个设计计算实例，表明了本文方法的有效性。     

STABILITY OF A KIND OF COMPOUND BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE

In this paper, we discuss the stability of general compound boundary value prob-lems combining Riemann boundary value problem for an open arc and Hilbert bound-ary value problem for a unit circle with respect to the perturbation of boundary curve.     

有限宽轴承-转子系统非线性行为研究

利用平均本征值法求得有限宽轴承的油膜力．以刚性Jeffcott转子为研究对象，借助数值积分并结合Poincare映射研究了轴承-转子系统的非线性动力学行为．所得结果为平均本征值法用于同类型的工程实际问题打下了一定的基础．     

Stability of the second fundamental problem under perturbation of the boundary curve in plane elasticity

Let the elastic domain be a disk, and its boundary the unit circle. By dint of the stability of Cauchy‐type integral with respect to the perturbation of integral curve, this paper discusses the stability of the complex stress functions to the second fundamental problem in plane elasticity when smooth perturbation happens for the boundary curve. Copyright © 2010 John Wiley & Sons, Ltd.     

N种群周期系数非线性关系捕食—竞争系统的定性分析

本文应用比较定理，Ｂｒｏｕｗｅｒ不动点定理和Ｖ函数方法，讨论了Ｎ种群周期系数非线性关系捕食－竞争系统的正解的有界性，正周期解的存在性，正周期解的全局吸引性及唯一性。     

Characterization,solution properties,and morphologies of a hydrophobically associating cationic terpolymer

The acrylamide‐based terpolymers (PADB) with 4‐butylstyrene (BST) as the hydrophobic monomer and dimethyldiallyammonium chloride (DMDAAC) were synthesized by the micellar free radical technique. The polymer was determined by UV, FT‐IR and ¹HNMR, and the hydrophobic microblock structure of PADB was characterized successfully by the conventional DSC measurement. The use of DMDAAC improves the water solubility and intermolecular association of terpolymers. The feed amount of BST affects greatly the apparent viscosity of PADB solution. The polymer exhibits good viscosification property, salt resistance, temperature‐thickening, thixotropy, pseudoplastic behavior and shear‐thickening at low shear rate. The apparent viscosities of PADB solution remarkably increase by the addition of a small amount of surfactant. AFM measurements show that hydrophobic aggregates have been formed in 0.1 g dL^?1 PADB aqueous solution, indicative of strong associations of hydrophobic groups, which are reinforced with increasing PADB concentration. The microstructures of PADB are disrupted by the addition of small amounts of salt, resulting in the decrease in solution viscosity. However, with increasing NaCl concentration, the tree‐like associating structures are formed, leading to the increase in the solution viscosity of PADB. The AFM results reveal that the solution properties of PADB are due to the associating structures in the aqueous solution and brine solution. © 2007 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 45: 826–839, 2007     

模糊环境下多目标结构动力优化设计

考虑结构设计变量和多阶固有频率优化目标都具有模糊性，以适当方式形成了它们各自的隶属函数。顾及多阶固有频率目标和设计变量约束的最优性隶属程度，构造了多阶固有频率优化的模糊判决函数。形成了模糊环境下结构多阶固有频率动力优化设计方法。以空间杵架算例验证该方法的合理性和有效性。     

一类统计量的强大数律和重对数律的精确极限性质

设{xn,m≥1}是独立同分布随机变量序列,EX1=0,EX12=1．设Tn= Tn(X1,…,Xn)是随机函数且Tn=Sn Rn．本文证明在E|Rn|2∨r<∞或E|Rn|<∞下,对随机函数Tn成立着Baum-Katz强大数律和重对数律的精确极限性质的一般结果．由此作为推论,对U-统计量,Von-Mises统计量,线性过程,移动平均过程,线性模型中误差方差估计和功率和等在适当矩条件下均可写出Baum-Katz强大数律和重对数律的精确极限性质．