查询词典 numerical analysis

Using numerical simulation technology and method of orthogonal experiment design and single factor rotating optimization, this thesis makes a study of "lost core injection ", thus achieve the optimization of the parameters of molding process, to offer basic reference when developing production technology and mould of the plastics intake manifold. Based on the study of the status in quo and development trend of weight reduction on automobile, the application of plastics to automobile and intake manifold, then under the guidance of theory model and numerical simulation technology in the process of high polymer material, this thesis launches flowing main research work: First of all, on the basis of the three-dimensional model of the part and finite element net model, several designs of gating and running system are numerically simulated and analyzed via MPA of Moldflow.

本文在对当今汽车轻量化、零部件塑料化以及的汽车进气歧管塑料化的发展现状和发展趋势进行了研究和简要介绍，然后在高分子材料成型过程中的理论模型和数值计算方法的指导下，展开主要的研究工作：首先，在零件三维模型和有限元网格模型的基础上，使用Moldflow 的MPA模块对塑料进气歧管的多个浇注系统设计方案进行数值模拟，通过分析各个方案的充填质量、熔接线位置及数量等指标，得到了综合质量较高的4 个进料口的浇口位置及半限制型浇口大小的浇注系统。

Based on Collins integral formula and the expansion of the hard aperture function into a finite sum of complex Gaussian functions,the approximate analytical expression of the diffraction field of Gaussian beam by a circular disc is derived,and its characteristics are analyzed by the numerical calculation and numerical simulation.

基于圆孔光阑函数展开为复高斯函数和的方法，用Colins积分公式，导出了高斯光束照射下圆盘衍射的光场近似解析表达式，经计算机数值计算，对高斯光束照射下圆盘衍射的衍射特性进行了详细的分析

The hardware contains parallel lights insurement. Panoramic Annular lens. CMOS imaging device. 3-D control.The software achieves numerical integral, numerical differential coefficient, fast fourier transfer. smoothing process in the Matlab.

硬件主要由平行光管、全景环形成像镜头、CMOS成像器件、三维调节系统这么几部分组成，软件是以Matlab为平台实现了数字积分、数字微分、快速傅立叶变换、平滑处理等方面的工作。

Chapter 5 to text the numerical method put forward carries on the numerical experiment, special two fractional differential equation problem within biologies carries on the test, the number result enunciation method is valid.

第五章对文中所提出的数值方法进行了数值试验，特别就计算生物学中的两个分数阶微分方程问题进行测试，数值结果表明方法是有效的。

Then, under the consideration of mixed boundary value condition, a pair of dual integral equations for the rocking vibrations of a disk on saturated grounds are obtained, which can be reduced to a Fredholm integral equation of the second kind and solved by numerical procedures. Consequently, the dynamic compliance coefficient is evaluated and numerical results are presented to portray the influence of poroelastic effects on the dynamic interaction problem.

对于刚性圆板，作者首先采用Hankel变换对波动方程进行求解，得到了该控制方程在Hankel变换域内的通解，然后由混合边值条件建立了饱和地基上刚性基础摇摆振动的对偶积分方程，并将其化为第二类Fredholm积分方程，用数值方法计算了不同频率下基础的动力柔度系数，从而考察孔隙水的存在对基础摇摆振动特性的影响。

Using Biot's 2D elastodynamic theory solves the saturated soil equation. The Fredholm integral equation of the second kind can be built by using the fundamental solution of circular load, the compatibility condition and superposition method. The Fredholm integral equation of the second kind of pile groups can be solved by using numerical method. The numerical solutions of pile groups axial forces, pore pressures under vertical harmonic loading and shear forces, moments and pore pressures under horizontal harmonic loading can be obtained.

采用Biot提出的三维波动原理，利用圆形简谐载荷作用下的Biot固结方程的基本解和桩土之间的变形协调条件，并采用叠加原理得到饱和土中群桩的第二类Fredholm积分方程，应用数值法求解群桩的第二类Fredholm积分方程，得到在垂直简谐载荷作用下群桩的轴力、孔压随桩身变化的数值结果以及在水平简谐载荷作用下群桩的剪力、弯矩和孔压随桩身变化的数值结果。

The formula of numerical computing is presented with discretion for Fresnel diffraction and phase numerical reconstruction of wave front.

从光的菲涅耳衍射、波前相位重构入手，对连续信号进行了离散化处理，给出了数值计算公式。

The evolution of frontal rainbands happening during the frontogenesis induced by deformation field is investigated through the numerical cloud model. Besides, in order to get insight from the results of numerical simulations, the semigeostrophic frontogenesis model is used to investigate the effect of diabatic heating on the frontogenesis and the analytical method of WKBJ is used to study the influence of large-scale deformation field and frontal circulation on the development of symmetric disturbance happened in the frontal zone.

为了加深对数值模拟结果的理解，还利用半地转模式对非绝热加热影响锋生的过程进行了讨论，通过WKBJ方法讨论了变形场锋生条件下对称扰动的发展，从中可以了解大尺度变形场和锋生环流对中尺度扰动的作用，这方面的工作可以对前面非静力数值模拟结果的理解提供帮助。

The frontogenesis process involves in the interactions among the systems of multiple scales. Since the hardness of the nonlinear problem, it is difficult to study frontogenesis analytically. The introduction of the effects of orography, friction and diabatic processes generally makes impossible the analytical resolution of the problem and leads to the use of numerical models. Primitive equations are numerical integrated together with a detailed description of physical processes. The circulation obtained is then used to diagnose and test theoretical mechanisms. It should be noted, however, that a fully description of frontogenesis in explicitly resolving the of large-, meso- and micro-scale flow in the same framework is not yet possible because of the excessive computer capacity and the time required. In order to deal with the problem, the action of large-scale background has been simplified and taken into consideration through the addition of the forcing into the nonhydrostatic cloud model.

大气锋生是一种多尺度相互作用的过程，理论研究遇到非线性的困难，在考虑地形、摩擦、非绝热等物理过程之后，解析研究更加棘手，通过数值模拟搞清其中的物理机制是重要的研究手段，但是把大、中、小尺度甚至微尺度的系统及其相互作用过程在一个模式里同时模拟好仍然受计算机速度和容量的限制，本论文在非静力云模式中通过强迫方式加入大尺度变形场的作用，在考虑到大尺度背景作用的同时，可以充分利用云模式所提供的丰富物理过程、非静力和高分辨率特点，开展一些过去较难进行的研究工作。

The model of multi-layers dense media is developed for numerical simulation of polarized brightness temperature from layering lunar soil and rock. Numerical simulations show the functional dependence of relevant physical parameters.

提出模拟的亮温和多层月壤月岩的多层密集粒子介质辐射传输模型为理论观测，反演月球表面参数，讨论了月壤厚度等参数反演可予以实施的方法。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。