离散化

The revolution bellows is idealized as a series of conical frusta, joined at nodal circles. The linear finite element analysis equation and the geometrical nonlinear finite element analysis equation in Total Lagrangian Formulation for the revolution bellows are derived using stationary total potential principle.

考虑到油罐刚度比波纹管刚度大的多，将油罐看作为刚体，将波纹管部分和管道部分分别用空间梁单元离散化，通过分析得到波纹管与油罐连接接合面、波纹管与管道连接接合面不同单元之间的位移协调约束方程，并用罚函数法进行处理。

The contour smoothing processing focused on the common zigzag and blurred effect occurred in conventional segmented images. The problems of fragments and furcations were also solved by the characteristic analysis of the local gray level.

该算法把消除颗粒噪声、采样离散化误差作为边缘平滑的重点；通过对图像局部灰度特性的分析解决了轮廓跟踪过程中出现的断边、分支问题。

Appropriate model and space discretization were chosen to simulate the loading process of specimens conducted on the Split Hopkinson Pressure Bar in two-dimension,and the adiabatic shear deformation course of the hat-shaped specimen under high strain rate was obtained.

通过选择恰当的模型和科学的空间离散化，对SHPB加载过程进行了2D数值模拟，数值重现了帽型试样高应变条件下的绝热剪切变形历程。

The process is described as follow: firstly, definition of welding line by alternately man-computer, including welding line geometry information and technical parameters, Secondly, welding line was scattered a series of welding point; Thirdly, visiting the elements of entity such as face, edge etc.

在规划中，首先通过交互手段定义并获取焊缝，包括焊缝的几何信息和工艺参数。然后，对焊缝离散化处理，得到一系列焊接路径点。

Simultaneously, compared with the nine-point difference scheme which are widely applied , our new schemes have more advantageous on non-orthogonal grids, for example, the convergent accuracy, the fast-solving of the discrete system and so on.

同时与目前广泛使用的九点差分格式(文[1])作了对比实验，发现新建的三种对称有限体格式在对非正交网格的适应性、收敛精度以及相应离散化系统的快速求解等方面具有明显的优势。

On the basis of the investigation of different moments, the concept of generalized moments is firstly defined and then, an abstract algorithm framework for computing the accurate generalized moments is presented. The framework replaces integrals on 2-dimensions space by summations on 1-dimension ORBIR list without introducing the error incurred by discrete sampling, and therefore, reduces the computation complexity for moments generation.

矩在工程实践中的应用非常广泛，在考察矩的实质的基础上，定义了泛化矩的概念，并研究泛化矩的生成框架，该框架在不引入离散化过程中存在的采样误差的前提下，将矩生成过程中需要的二重积分运算转化为在一维的ORBIR矩形序列上的求和，因此降低了矩生成的计算复杂度。

Results and Conclusion When the workpiece is of little elastic deformation, the discretization approach as proposed in this paper is appli- cable not only to the mathematical modeling for thread-cutting process, but to the modeling for processing simple workpiece by using complex cutter, and processing complex workpiece by using simple cutter.

结果和结论作者提出的离散化思路在工件弹性变形不大时，不仅适用于螺纹切削过程的数学建模，亦适用于其它复杂形状刀具加工简单形状工件和用简单形状刀具加工复杂形状工件时的数学建模。

Using pattern recognition, we can obtain the slowness, amplitude andprimary frequency of compressional, shear and Stonely waves respectively, andthen calculate the available geological parameters.

我们根据各波型到达时间、相位、振幅和频率四方面的差异进行模式识别，在离散化输入条件下从长源距全波波形图上分离提取了纵波。横波和斯通利波的时差、振幅和主频，进而计算出各有关地质参数。

In order to study the torsional vibration characteristics of the power driveline of vehicle, the components of the power driveline of a medium size motor truck with six cylinders was transformed equivalently. The concentration mass-elasticity-damp discrete torsional vibration model with the multi-degrees of freedom was established on the basis of determining the structure parameters of the component.

为研究汽车动力传动系的扭振特性，本文对某中型载货汽车动力传动系各零部件进行当量转化，在确定各部件结构参数的基础上，建立了多自由度集中质量—弹性—阻尼离散化的扭振模型。

It is a kind of effective analysis method in time domain. The finite element model of rotor system is established using Timoshenko beam model.

本文采用Timoshenko梁—轴模型，对转轴进行有限元离散化，建立转子系统的非线性力学模型。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新