查询词典 finite dimensional

For the condensed dynamic stiffness matrix in finite models which have finite number of freedom and any dynamic stifmess matrix of infinite system, the element of them is a transcendental function of eigenfrequency. And therefore transcendental eigenvalue problem is needed to be solved in order to get the natural frequency and modes of vibration.

对于有限自由度系统的缩聚动刚度矩阵和无限自由度系统的任何动刚度矩阵，其元素是频率的超越函数，因此求解结构固有频率及其振型归结为求解超越特征值问题。

The micro-indentation results show that both theories for finite and infinitesimal deformation agree well with experimental data by suitably chosen material lengths. The results for fracture show that the difference between finite and infinitesimal deformation only exists in the vicinity very close to crack tip.

结果显示通过改变材料常数大变形和小变形都可以和微压痕实验结果吻合好，大小变形理论在断裂问题上的区别仅仅存在于非常靠近裂纹尖端处。

It tries its best to avoid using the finite difference grid, so that it can eliminate the artificial dispersion which arises from the injudiciously finite difference grid.

第四章提出了一种交替方向区域对分的FCM，用于模拟二维多孔介质中的生物降解过程，它试图尽可能的避开使用有限差分网格，从而消除由于网格选取的不合适而导致的人工弥散现象。

During the design process, we employ the elastoplastic theory and ANSYS 10.0 (a large-scale finite element analysis software) to analyze the stress status and bearing capacity of the joint under load. Also, we get the stress status and bearing capacity of the inner components based on the nonlinear finite element contact analysis.

在对节点构造进行设计的过程中，以弹塑性理论为基础，运用大型有限元分析软件ANSYS10.0对节点在荷载作用下的应力分布和承载力进行了非线性有限元分析；同时对轴承装配部分进行了接触分析，得到了接触状态下节点内部各零件的受力状态和极限承载力，并根据分析结果不断优化节点构造。

At present the numerical simulation of electromagnetic method of finite difference method, finite element method, boundary element law, integral equation method, and so on were commonly used in the exploration.

目前电磁法勘探中常用的数值模拟方法主要有：有限差分法、有限单元法、边界单元法和积分方程法等。

In the forward aspect, the advantages and disadvantages of such methods as finite difference, finite element and integral equation as well as their development trend are discussed. In the inversion aspect, mainly linear and nonlinear inversions are analyzed, with a detailed discussion on the linear inversion methods both in the time domain and in the frequency domain as well as a prediction of their future development trend.

正演方面主要讨论了有限差分、有限元和积分方程法，分析了各种方法的优缺点、适用范围，并指出了未来发展趋势；反演方面主要讨论了线性反演和非线性反演，根据井间电磁波成像的性质，对时间域和频率域线性反演方法分别做了详细论述，并给出了未来发展趋势。

In this thesis, the results of extremal work path theory are adopted, and the FEM based on deformation theory is formulated. The Inverse Finite Element Approach in sheet metal forming is studied in detail, and an Object-Oriented Finite Element Analysis program is developed, which provides rapid and effective means for stamping process planning and die design.

本文运用极值路径理论推导出基于形变理论的有限元公式，研究了钣料成形有限元逆算法，开发了面向对象的有限元分析程序，为冲压工艺和模具设计提供了快速有效的分析手段。

In chapter three, we first give the definition of quadratic automata (3. 6 definition), then study their invertibility. 3. 10 theorem gives a sufficient and necessary conditions for weak inverse quadratic form finite automata, and a way to find the one whose weak inverse is quadratic form finite automata.

第三章首先构造了二次型有限自动机类（3.6定义），研究其上的可逆性理论。3.10定理给出了弱逆二次型有限自动机的充要条件及弱原逆的求法、3.12定理则给出了弱可逆二次型有限自动机的充要条件及弱逆的求法。

Establish integrated invertibility theory over it: By R〓R〓 transformation method, we solve the problem of deciding weakly invertibility and finding weak inverse, By founding the bijections between all quadratic form automata and input memory linear finite automata, we find a algorithm to produce all weak inverse quadratic form finite automata.

本文着眼于这些最基本问题，将有限域上的二次型和置换多项式理论引入有限自动机可逆性的研究，构造了一类由二次型构成的非线性有限自动机（3.6定义），称之为二次型有限自动机，我们在其上面建立了与线性有限自动机可逆性理论相对应的完整的可逆性理论：采用线性R〓R〓变换方法，解决了此类有限自动机的弱可逆性判定、求弱逆问题（3.10、3.12定理）、通过建立全体二次型有限自动机与全体输入存储线性有限自动机之间的保持弱逆性的一一对应，给出了产生全部可逆二次型有限自动机的方法。

How to calculate the synthesis operator is the key problem of controlled illumination prestack depth migration. In this paper the inverse time focusing operator is synthesized based on the traveltime calculation method of finite difference approach, and with this synthesis operator the authors calculate the focusing point controlled illumination prestack depth migration using Fourier finite difference. The test results of Marmousi model show its effectiveness and the great advantage of improving computational efficiency.

进行控制照明叠前深度偏移的关键是合成算子的选择，笔者基于有限差分的走时计算方法合成了逆时聚焦算子，基于该合成算子利用傅里叶有限差分法进行了聚焦点控制照明叠前深度偏移，针对Marmousi模型的试算结果表明了该方法的有效性及其在提高计算效率方面的巨大优势。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。