查询词典 finite dimensional operator

By considering the finite spread in beam longitudinal momentum and the effect of finite space-charge field of the electron beam,the dispersion relation of IRL instability is derived ,and the growth rate of IRL wave and the linear damping rate of the space-charge wave are also got.

利用动力学理论对一种新型自由电子激光──离子波纹激光进行了研究，考虑电子束的纵向动量离散和空间电荷场效应，导出了IRL不稳定性色散关系，求得了IRL辐射波的增长率及电子束空间电荷波的线性阻尼率，并对其进行了讨论，得到了一些结论。

However,most of the current numerical implementation are based on a hybrid finite - element/finite - difference/control - volume solution with the middle - plane model. This kind of model leads to great inconvenience in applications..

但目前的流动模拟软件都是采用基于&中性层&模型的有限元/有限差分/控制体积法来分析z1，所谓中性层是假想的位于模具型腔和型芯中间的层面，其模拟过程如图1所示。

The three-dimension solid and finite element model of the greatness pulsation bag style dust catcher structure,including middle case ,sieve pore,lower column,beam and ash bucket was built based general finite analytic software ANSYS.

基于有限元软件ANSYS建立了包括中箱体、花板、下立柱、横梁和灰斗等在内的某大型袋式除尘器结构的三维有限元模型，对除尘器结构强度进行了热力场仿真计算，给出了中箱体和灰斗的应力、应变等云图。

The first to use PRO / E software components establishment of the body (body, cylinder head, cylinder pad, cylinder liner, the main bearing caps, Flywheel carcasses, gear Connection Board Room, Shell pump, oil pan, about mounting frame, rear axle oil blocks, etc.) 3D solid model; Then use Hypermesh software division finite element mesh to ensure a good grid quality, and better coordination of the grid between quantity and accuracy of contradictions; Finally using ANSYS software components of a body finite element analysis.

首先利用PRO/E软件建立机体组件（机体、气缸盖、气缸垫、气缸套、主轴承盖、飞轮壳、齿轮室连接板、水泵壳体、油底壳、左右悬置支架、后轴油封盖等）的三维实体模型；然后利用Hypermesh软件划分有限元网格，保证了良好的网格质量，较好地协调了网格数量和计算精度之间的矛盾；最后利用ANSYS软件对机体组件进行了有限元分析。

This paper establishes a finite element model for the interaction between the soil and the sheet piles and performs a seismic response analysis for the portal water injection sheet pile adopting the nonlinear calculation module of finite element software ANSYS.

本文建立的有限元模型之间的互动，土壤和钣桩并进行地震反应分析，为门户注水板桩采用了非线性计算模块的有限元软件ansy

The forming process and the characteristics of plastic deformation, the sites of the heavily strained zones with severe thickness reduction and their evolution, the influences of the main processing parameters, such as the plastic melt pressure and its distribution from the gate to the end of the mold, and of friction coefficient between the sheet flange and the mold, on these during the hybrid forming of the aluminum sheet have been revealed by the updated Lagrange finite element formulation for the finite elastic-plastic deformation.

运用弹塑性大变形更新的Lagrange有限元方法，揭示了铝薄板的成形过程和塑性变形的特点与规律、大塑性变形区的产生位置及其塑性变形特点，探明了复合成型过程中塑料熔体压力及其分布规律以及铝薄板凸缘与模具摩擦系数等主要工艺参数对铝薄板成形过程和塑性变形的影响规律。

Single factor experiments were done with the factors including the width of protrusion and the trolley's velocity, which showed that the surface frictional coefficient decreases with the width of protrusion increasing, and doesn't change with the trolley's velocity changing, which was consistent with the results of the orthogonal experiment. A theoretical model of the horizontal projection of a corrugated bionic surface's contact area was built, which showed that the contact area's horizontal projection decreases with width and interval increasing respectively and that the ratio of the contact area's horizontal projection and the vertical load decreases with the vertical load increasing. It indicated that the surface frictional coefficient decreases with the above three factors increasing respectively. Finite element modeling and analysis of interactions of a plate and soils was done using ANSYS, which showed that the plate frictional coefficient is little relative to soil elastic modulus and decreases with vertical surface pressure and that trolley's pull and vertical displacement of bionic surface's control pilot keep constant almost during the plate being pulled. Finite element modeling and analysis of interactions of a corrugated bionic surface and soils was done using ANSYS, which showed that surface frictional coefficient is little relative to soil elastic modulus and decreases with bionic surface's structural parameters and vertical pressure increasing. However, the three factors all didn't affect the surface frictional coefficient remarkably on the condition of 90% dependability. For the first time, bionic surfaces were applied to screw piles, which formed bionic screw piles, and the contrast experiments showed the bionic screw pile had certain resistance-decreasing effects.

建立了波纹型仿生曲面与土壤的接触面积的水平投影的理论模型，表明接触面积的水平投影A随着波纹型仿生曲面突起宽度、两相邻突起间距的增大而减小，接触面积的水平投影与波纹型仿生曲面表面垂直载荷之比随着波纹型仿生曲面表面垂直载荷的增大而减小，进而得出仿生曲面摩擦系数随着波纹型仿生曲面突起宽度、两相邻突起间距以及表面垂直载荷的增大而减小；利用ANSYS软件对平板与土壤的相互作用进行了有限元建模与分析，表明平板摩擦系数与土壤弹性模量关系不大，而随着表面垂直载荷的增大而减小；平板牵引过程中台车牵引力和仿生曲面控制节点垂直方向位移基本保持不变；利用ANSYS软件对波纹型仿生曲面与土壤的相互作用进行了有限元建模与分析，表明波纹型仿生曲面系数在一定范围内基本不受土壤弹性模量的影响，随着波纹型仿生曲面突起宽度、两相邻突起间距以及表面垂直载荷的增大而减小，但在可信度为90％的前提下，三个因素影响都不显著；首次将波纹型仿生曲面应用于与土壤作用方式以挤压为主的螺旋桩，形成仿生螺旋桩，并与普通螺旋桩进行了沉桩对比试验，表明波纹型仿生曲面应用于螺旋桩桩体表面具有明显的降阻作用。

Based on rolling technology of 2050 hot strip roughing mill group, a 3-D coupling thermal, mechanical and microstructural rigid-plastic finite element model had been developed by using nonlinear finite element method and physical metallurgy microstructural evolution models.

根据某厂2050热带钢粗轧机组轧制工艺，借助物理冶金组织演变模型，利用非线性有限元法开发了热连轧过程热、力、组织耦合三维刚塑性有限元模型。

This paper puts forward CS roof plate finite element model and its analyse method. The analysis result indicates that the finite element model and analyse method is appropriate and makes some analyse of the CS plates with different distributed steel.

本文提出了三步节能CS屋面板有限元模型建立以及分析方法，分析结果表明本文建立的有限元模型和采用的分析方法是合理的，并利用有限元方法对其他配筋形式的三步节能CS屋面板进行了分析。

S the rational finite element interpolates with the soultions of elasticity and formulates directly in the physical domain, it has superiority over the isoparametric finite element in clear physical meaning and accuracy.

bstract 由于理性有限元用弹性力学的解插值并且在物理域内直接列式，因而与等参元相比，具有物理意义明确和精度高的优点。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。