数值分析

The details contents in this paper are as follows: 1 Studied the theory analysis of the causation of ricochet phenomena.

针对动能弹斜侵彻混凝土靶时的跳弹现象，本文分别采用理论分析方法和数值模拟方法对这种特殊现象进行了分析计算，具体的研究内容如下： 1）进行了跳弹现象产生原因的分析研究。

Chapter four studies the chaotic responses in a system consisting of simple pendulum and harmonic oscillator under bounded noise excitation. Firstly, the Melnikov function of the two-degree-of-freedom system under Hamiltonian perturbation is derived. The essential condition of the autonomous system for the probable onset of chaos is obtained, the Poincare maps of the system under small Hamiltonian perturbation and the effect of increasing perturbation on the Poincare maps are studies. Then for the non-autonomous system under damping and harmonic or bounded noise excitation, the largest Lyapunov exponent and Poincare maps are calculated. From the analysis of the largest Lyapunov exponent, the critical criterion for the onset of chaos, and the conclusion that the threshold of bounded noise amplitude for the onset of chaos in the system increases as the intensity parameter of Wiener process increases are obtained. The result from the analysis of Poincare maps is in agreement with that obtained from the Largest Lyapunov exponent. The effect of varying damping coefficient and intensity parameter of Wiener process is also analyzed.

第四章研究了有界噪声激励下的两自由度单摆—谐振子系统的混沌运动，首先推导了该两自由度系统仅在Hamilton扰动下的Melnikov函数，得到该自治系统可能产生混沌的必要条件；研究了该系统在小的Hamilton扰动和增大摄动情形下的Poincare截面；然后对有阻尼、谐和或有界噪声激励下的非自治系统数值计算了其最大Lyapunov指数和Poincare截面；从Lyapunov指数分析得到了这个两自由度系统产生混沌运动的临界条件及产生混沌的临界激励幅值随Wiener过程强度参数值的增大而增大的结论，Poincare截面分析的结果亦符合Lyapunov指数分析的结论；研究了Wiener过程强度参数、阻尼系数变化对Poincare截面的影响。

The examples given have proved the advantage of the Boundary Element Method. In the analysis of the fracture mechanics using Boundary Element Method, the calculation model of one-quarter singular element has been established, and has been proved its validity.

把边界元法应用于线弹性结构断裂分析中，建立了裂尖奇异区分析的四分之一奇异元计算模型，算例表明，用四分之一奇异元分析断裂力学问题是一种有效的逼近裂尖场的数值方法。

By using the measure and research of the emulating two-port network parameters of using direct-current analysis and figure value output function of sinusoidal steady state circuit in circuit emulating sofeware PSPICE8.0,the measune and reseavch have solved the problem of the measuring purely resistive network of simple and odd one in traditional experimient,and also brought about the analysis of alternating current and direct-current for two-port network of any one complex and measure and research of Y、Z、T、...

利用电路仿真软件PSPICE8.0中直流分析及正弦稳态电路的数值输出功能仿真二端口网络参数的测量与研究，解决了传统实验中只能测量简单、单一的纯电阻网络问题，实现了对任一复杂二端口网络交、直流的分析及Y、Z、T、H等参数的测量与研究，为更多的不易完成的传统实验以及复杂电路的分析研究开辟了一条新路。

Firstly, we collected and sorted out the GPS data, established the uniform velocity field for the Chinese mainland and the surrounding regions, and the horizontal deformation field relative to the Eurasia plate; Secondly, we established a motion model for the entire rotation and homogeneous strain of the first and second level blocks in Chinese mainland, analyzed the motion pattern and strain behavior of active blocks in Chinese mainland, as well as the motion pattern of principal fault zones in Chinese mainland; Thirdly, considering the heterogeneity of strain distribution inside a block and supposing that the strain tensor inside the block is the linear function of location, we derived and established an equation for the entire rotation and linear strain of block and a motion model for the entire rotation and linear strain of principal blocks in Chinese mainland; We also calculated the principal strain field and the maximum shear strain field in Chinese mainland and the surrounding regions, analyzed the basic characteristics of strain field in Chinese mainland, as well as the relationship between the spatial distribution of strain field and large tectonic zones; Finally, we established the 2-D geotectonic model and digital model for Chinese mainland and the surrounding regions, calculated the stress field in Chinese mainland and the surrounding regions, and analyzed the basic features of stress field in Chinese mainland and the principal driving force for the motion and deformation in Chinese mainland.

收集整理了已有GPS资料，建立了中国大陆及周边地区统一的速度场以及相对欧亚板块的水平形变场；建立了中国大陆一、二级地块整体旋转与均匀应变的运动模型；分析了中国大陆活动地块的运动状态，应变状态，以及中国大陆主要断裂带的运动状态；考虑到一个块体内部应变张量空间分布的非均匀性，假设块体内部的应变张量是位置的线性函数，推导建立了块体整体旋转与线性应变方程，建立了中国大陆主要地块整体旋转与线性应变的运动模型；计算了中国大陆及周边地区的主应变场与最大剪应变场，分析了中国大陆应变场的基本特征，以及应变场的空间分布与大型构造带的关系；建立了中国大陆及周边地区二维的地质构造模型和数值模型，计算了中国大陆及周边地区的应力场，分析了中国大陆应力场的基本特征以及中国大陆运动、形变的主要驱动力。

The paper combines investigative mode of theory analysis and numerical simulation analysis, based on elastic and plastic theory, explaining the relation of stress fields and stress- transmogrification. Then citing key stratum theory, the paper analyzing the moving rule of the stratum above the laneway along the gob, gaining some disciplinary cognition.

论文采用理论分析与数值计算模拟分析相结合的研究方式，根据弹塑性理论求解了巷道围岩的应力场及应力变形关系；进而引用关键层理论，对深井综放开采沿空巷道的上覆岩层运动规律进行分析，获得了一些规律性认识。

Firstly, a scalar and vector potential analysis models of tooth-layer magnetic field in a two-degree-of-freedom motor is developed, which is the same as standard hybrid step motor. By applying the finite element method, the distribution of the tooth-layer magnetic field is studied in detail. It provides an effective means for further calculation of performance and parameters of the motor.

首先，对两自由度电机产生转矩的关键部分——齿层区域的磁场进行了细致深入的分析，提出了齿层磁场的标量位和向量位分析模型，并通过有限元的数值计算，对各种情况下齿层磁场的分布规律从微观上进行了形象的分析和研究，为完整电机的进一步计算提供了有力的工具。

In the fourth chapter, using the magnetic vector potential as the unknown variable, a mathematical model for numerical calculation of the magnetic field and loss distribution in 3-phase 5-limb transformer core is presented.

第三章针对变压器铁心结构的特点，对各向异性非线性边值问题的有限元分析方法进行了详细的阐述，并推导出了实用的N-R格式及单元分析格式，对具有多媒质单元的有限元分析方法进行了介绍，为变压器铁心磁场及损耗分布的数值计算奠定了基础。

Based on existing theory of dielectric resonator, several difference configuration whispering gallery modes dielectric resonator and the characteristic of coupling between such a resonator and millimeter-wave transmission line are studied by means of electromagnetic theory, microwave theory and microwave circuit theory in this dissertation.

本文在现有的介质谐振器分析理论基础上，利用电磁场理论，微波理论和微波电路理论对几种不同的结构的边廊模介质谐振器和它与传输线间的耦合进行理论分析，并用数值计算的方法分析求解了这些边廊模介质谐振器的电磁参数和电路参数。

Then choosing SPDB which has the best operational risk result based on the conclusions of the third chapter, to compare with Sviskaenska Enskilda Baken,aiming for finding the advanced methods in operational risk management from foreign bank and convenient for the suggestion bring forward in the next chapter.

由于在以往文献中，与国外银行操作风险的比较分析大多停留在文字表述层面，或仅依靠银行财务报表数据(资本充足率、不良贷款率等)进行简单对比描述，很少进行实证分析，因而缺乏操作风险估计值的直观对比，所以本文力图采用基本指标法估计操作风险数值并进行比较分析是文章的另一创新之处。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。