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The paper consists of two parts: one part concerns on the applications of almost periodic type functions, the other part concerns on remotely almost periodic function and slowly oscillating function and their applications.

本文主要包括两部分内容:一部分是关于概周期型函数应用的,另一部分是关于遥远概周期函数和缓慢振动函数及其应用的。

Firstly, this paper investigated roundly the basic theory of the ambient vibration method, analyzed systematically the main methods of ambient vibration identification, and discussed their advantages and disadvantages. Then we established the finite element model of structural dynamics and test model and analyzed their mutual relation, improved MUSIC method and correlation function method in the harmonic identification, and gave the subspace method and correlation function method based on continuous model, which is multi-harmonic retrieve technique. And then, this paper also puts forward least-squares method to estimate directly structural physical and modal parameters; this approach replaced the derivative operator in the continuous time model with an equivalent approximation, and estimated the physical parameters of structures by the least-squares method. And then, we discussed the approximation methods of derivative and their convergence. Finally, this paper researched the modal parameters of a frame structure by the simulation and test. The results demonstrated that subspace method, correlation function method and the least-squares method are effective and stable respectively.

全面地研究环境振动识别方法的基本理论,系统地分析环境振动识别方法的主要方法,讨论它们的优点和不足;建立结(来源:6666AB44C论文网www.abclunwen.com)构动力学的有限元模型和试验模型,分析有限元模型与试验模型之间的相互关系;改进谐波识别中的MUSIC识别方法和相关函数识别方法,给出大型结构模态识别的连续型的子空间分解识别方法和相关函数识别方法,这个方法是多元谐波识别方法;提出直接识别结构的物理参数和模态参数的最小二乘方法,这个方法利用导数的近似值代替导数值,并运用最小二乘方法识别结构的物理参数,讨论导数近似值的选择方法,分析算法的收敛性;通过仿真计算和模型实验,研究高层框架结构的模态参数识别,验证子空间分解识别方法、相关函数识别方法和最小二乘识别方法的有效性,算法的稳定性;从理论和试验两个方面分析和研究噪声对识别精度的影响,影响识别精度的因素,以及部分模态成分的模态参数不能够被识别的原因。

The paper introduces a kind of differentiable fractal interpolation function,discusses its generating mechanismas well as the sufficient condition that generates its IFS .

文章介绍一类可微的分形插值函数,探讨了它的产生机理以及生成它的迭代函数系所满足的充要条件,在此基础上给出样条分形插值函数的定义,并讨论它所具有的部分收敛性质。

Another Two Forms of Necessary and Sufficient Condition of Differentiable Complex Function;2. The paper introduces a kind of differentiable fractal interpolation function,discusses its generating mechanismas well as the sufficient condition that generates its IFS.

文章介绍一类可微的分形插值函数,探讨了它的产生机理以及生成它的迭代函数系所满足的充要条件,在此基础上给出样条分形插值函数的定义,并讨论它所具有的部分收敛性质。

The first part is introduction in which some excellent results are given. For example, LeachandSholander mean of two variables E and its monotonicity, Some results of paper and [4] are also given. In Chapter l,mean function and mean family of n variables in one dimension are given. On the base of mean function of n variables of paper [1], weproof that is mean function and discuss its monotonicity andcontinuity.

第一部分是引言,主要介绍了一些已有的结果,如:一般的两个变元的Leach and Sholander均值B以及它的单调性,又介绍了文[1][4]中一些已有的结果,第一章主要介绍了一维n元平均函数和平均族,在已有的文[1]中给出的参差域K上的n元平均函数概念的基础上,证明一般形式的是平均函数,讨论了它的单调性和连续性,其中还将已有的二元Stolarsky平均推广到了n元平均。

In this paper the Karnaugh map for simplifying logic functions is used in computing canonical covers based on the equivalence between the theory of functional dependencies and logic algebra.

本文依据函数依赖理论与逻辑代数对应部分的等价性,引入化简逻辑函数的卡诺图法求函数依赖集的规范覆盖。

The linear approximation function uncouples the problems at different terminals so that we arrive at the local problem for each terminal at each time period.

构造线性替代函数来逼近目标函数中的期望函数部分,使问题分解为多个单时段单节点问题。

It obtained analytic expression or arithmetic solution of the mean value, the mean square value, the related function and the spectral density function of heat conduction system of 0-D, 1-D, 2-D and 3-D, by applying stochastically theory of linear system and the results of the first part.

该部分利用线性系统的随机理论和第一部分的成果,获得了0维、1维、2维和3维导热系统均值、均方值、相关函数、谱密度函数的解析表达式或数值解。

Furthermore, a conjecture about the stability of the multi-adding-point error model is presented and some corollaries of the conjecture are proved.

摘要提出多综合点误差模型及其孤立部分传递函数的概念,得到了所有孤立部分传递函数都正实的充分必要条件,以此为基础,给出了关于系统稳定性充分条件的一个猜想,并证明了猜想的一些推论。

This paper summarizes the research job of predecessors, full text is divided in four part:The first part introduces the develop history and present conditions of MCRE;In the second part, the concept of average Markov process is introduced. Moreover we investigate the relations for Markov processes, martingales, stationary processes and average Markov process systematically.The third part summarizes the model that constructs the MCRE by p-m chains and skew product Markov chains by p-m chains, also we discuss the relations among the basic gunctions of the probability character for MCREIn the fourth part, we discuss the dimension of GW-tree and the canonical branching chain in random environment, furthermore we summarize the exact formulas of mathematical expectation and variance of branching chain in random environment.

本文主要是综述这方面前人工作,全文分成四个部分:第一部分介绍了MCRE的发展历史和研究现状;第二部分研究了马氏过程、鞅和平稳过程这三类经典的随机过程的相互关系,包括他们之间的包含和排斥关系,引入了&均马氏过程&的概念,研究了它与三类经典过程—马氏过程、鞅及平稳过程的关系;第三部分综述了用p-m链构造的构造的随机环境中的马氏链和绕积马氏链,讨论了与之相关的概率特性函数的性质;第四部分讨论了GW树的维数,并综述了随机环境中的典范的分枝链,讨论了随机环境中的分枝链的数学期望和方差的计算公式。

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