查询词典 numerical analysis

In view of underground engineering settlement discrete monitoring data analysis requirements,a new method of color image of nephogram rendering is proposed,in thought of measuring changes in the numerical and color parameters is the dispersional of numerical characteristics,by summing up the various nephogram generation.

利用测量数值是连续变化的和颜色参数是离散数值的特点，针对地下工程沉降离散监测点的数据分析要求，通过总结各种云图的生成方法，提出了一种新的绘制彩色云图的方法。

I wrote it myself numerical analysis courses designed algorithm, which is part of the numerical fitting.

我自己写的数值分析课程设计的算法，这里是数值拟合的部分。

The numerical calculation of integration is an important branch of numerical analysis.

积分的数值计算是数值分析的一个重要分支。

The numerical experiment is done by using finite element analysis. The dynamic responses are simulated for of integrate anchorage system and anchorage systems with different defects through 1-D and axis symmetry numerical calculate.

通过分析，锚杆—围岩结构系统的数值模拟解和试验结果都可用本文所建立的数学力学模型的分析解来拟合，这从参数反演角度进一步证明了所建立的模型是科学合理的，其分析求解方法是正确的。

Theory analysis and numerical solution of the Maxwell s equations is a hot topic in both numerical mathematics and engineering communities.

它的理论分析和数值方法研究一直是数值和工程计算中的热点问题。

Theoretical analysis and numerical results show that the new reconstruction algorithm can reduce the computational complexity and greatly improve the numerical stability.

理论分析和数值试验都表明，这种新的重建算法较常用的Newton-Raphson类算法，不仅数值稳定性有较大的提高，而且计算量有所减少。

With the development of the numerical value method, the simulation technology of numerical value analysis is applied widely and improved.

数值计算方法的迅速发展使得数值模拟技术得到广泛的应用和提高。

In this topic, the dynamic analysis methods for piezoelectric vibrator are studied systematically based on the theoretical model, FEM numerical experimentation and FEM governing equation for given compound-mode vibrator, and some valuable conclusions are obtained. The main work accomplished is summarized as follows: 1.Elaborate the main modeling methods for piezoelectric vibrator and the significance and necessity to study the dynamic characteristics of piezoelectric vibrator which emphasize the urgency of this paper. 2.Take the bending deformation induced by piezoelectric ceramic as example, the energy transfer mechanism of electric energy to mechanical energy are analyzed; the motion and force transfer mechanism are analyzed for the longitudinal-bending vibrator. 3.Based on mode assumption and Hamilton principle, the coupling model of piezoelectric vibrator of linear USM is built; moreover, the equivalent circuit model is obtained and a coupling equation represents the relation between electric parameters and mechanical parameters is derived which provides foundation to match the vibrator and driving circuit. 4.Combine the constitutive equation of piezoelectric ceramic with elastic-dynamical equation, geometric equation in force field and the Maxwell equation in electric field and the corresponding boundary condition equation, the FEM control equation for piezoelectric vibrator of USM to solve dynamic electro-mechanical coupling field is established by employing the principle of virtual displacement. The equation lays the foundation to study the non-linear constitutive equation of piezoelectric ceramic driven by high-power. 5.Define the dynamic indexes of characteristic of vibrator and carry out variable parameters simulation by calculating the model parameters and the electric characteristics of vibrator are simulated according to the equivalent circuit model. By numerical experimentation, the working mode of vibration of vibrator and the shock excitation results of the working frequency band which provides the mode frequency to realize bimodal are analyzed. Detailed calculation of the electro-mechanical coupling field parameters is made by programming the FEM control equation.

本课题从理论模型、有限元数值试验、有限元控制模型等方面以复合振动模式振子为例对超声电机压电振子的动力学特性及其分析方法进行了全面系统地研究，得出了许多有价值的结论，主要概括如下： 1、阐述了目前针对超声电机压电振子的主要建模方法，对压电振子动态特性的研究意义和必要性进行了论述，突出了本文研究内容的迫切性； 2、以压电陶瓷诱发弹性体发生弯曲变形为例，分析了压电陶瓷通过诱发应变来实现机电能量转换的机理；对基于纵弯模式的压电振子的运动及动力传递机理进行了分析； 3、基于模态假定，利用分析动力学的Hamilton原理，建立了面向直线超声电机压电振子的机电耦合动力学模型，并据此建立了压电振子的等效电路模型，导出了电参量与动力学特性参量的耦合方程，为压电振子与驱动电路的匹配提供了依据； 4、从压电陶瓷的本构方程出发，综合力场的弹性动力学方程、几何方程、电场的麦克斯韦方程以及相应的边界条件方程，采用虚位移原理，建立了压电振子动态问题机电耦合场求解的有限元控制方程，为研究其大功率驱动下的非线性本构模型奠定了基础； 5、界定压电振子的动力学特性指标，对压电振子的机电耦合动力学模型参数进行计算及变参数仿真；依据等效电路模型，对压电振子的电学特性进行了仿真分析；通过有限元数值实验，对压电振子工作模态附近的模态振型及工作频率附近的频段进行了激振效果分析，找出了实现模态简并的激振频率；利用有限元控制方程，通过编程计算，对压电振子的力电耦合场参数进行了详细计算，得出了一些有价值的结论。

A realistic electric field distribution on the gap satisfying the edge condition is used, and the numerical results are compared with those obtained from the experiments and from the numerical analysis with the uniform electric field at the gap.

一个在馈电间隙上满足边缘条件的电场分布被使用，基于该电场分布的数值解析结果与试验结果，以及利用馈电间隙上的均匀电场分布所求解的结果进行了比较。

Based on the dynamic equation, the transport and acceleration of out-flowing ionospheric ions in the magnetosphere are studied by means of finding the ion distribution function. They include two parts: the study of static ion distribution with analysis and numerical compute; the study of ion acceleration by induced electric feild in the period of dipolarization of taillike geomagnetic lines in the substorm expansion phase with the numerical simulation of the ion distribution function.

本文在磁层中上行离子的加速与传输理论研究领域中，采用动力论方程，用求解离子分布函数的方法来研究问题：(1)用解析求解和数值计算的方法，对上行离子在不同Kp指数条件下磁场位形中的定态分布进行了研究；(2)用数值模拟计算分布函数的方法，对上行离子在亚暴膨胀相磁场向偶极形驰豫过程中受磁尾的感应电场加速进行了研究。

They have quite a lot of work to do.

他们有许多工作要做。

Let us give you a more elaborate example of this process.

让我们给你这个过程的更多的详细例子。