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element solution
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  元解
     THE EXISTENCE AND L_2(Ω)-ERROR ESTIMATES OF PENALTY FINITE ELEMENT SOLUTION FOR NAVIER-STOKES EQUATIONS
     Navier-Stokes方程罚方法有限元解的存在性及L~2(Ω)估计
短句来源
     Hybrid and Boundary Element Solution for Nonlinear Reissner Plate
     非线性Reissner板杂交元及边界元解
短句来源
     The precision of finite element solution of the eigenvalue problem of the Biharmonic equation is λ h-λ=O(h 2) . The λ h is extrapolated by Richardson extrapolation method,and the result λ^ h-λ=O(h 3.5 )is obtained. The precision of eigenvalue approximation is raised from O(h 2) to O(h 3 5 ) .
     Biharmonic方程的本征值问题的有限元解的精度为λh-λ =O (h2 ) ,用Richandson外推的方法 ,λh 进行外推 ,得到外推结果为λ^h-λ =O(h3 5) ,本征值精度从O(h2 )提高到O(h3 5) ,外推方法是提高有限元解精度的有效方法 .
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     Galerkin Finite Element Solution for Nonlinear Neutron Transport Equation
     非线性中子输运方程的Galerkin有限元解
短句来源
     Papers [2,3,9] proved that the gradients of finite element solution possess superconvergence at Gaussianpoint.
     文[2,3,9]证明了有限元解的梯度在高斯点具有超收敛性。
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  元解法
     A Finite Element Solution to Laplace Equation and some Applications
     Laplace方程的有限元解法及应用
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     THE FINITE ELEMENT SOLUTION FOR OPEN BOUNDARY FIELD PROBLEM
     开域场问题的有限元解法
短句来源
     Boundary element Solution of Some Iso surface Boundary Value Problems
     等值面边值问题的边界元解法
短句来源
     BOUNDARY ELEMENT SOLUTION OF ELASTO-PLASTIC PROBLEMS OF SHALLOW SHELLS
     弹塑性扁壳问题的边界元解法
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     A LOCALLY IMPLICIT FINITE ELEMENT SOLUTION OF VISCOUS FLOWS
     粘性流动的局部隐式有限元解法
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  元求解
     Deformable B-spline Curves and Surfaces Model and Its Finite Element Solution
     可变形B样条曲线曲面模型及其有限元求解
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     The presented algorithms are applied to the finite element solution to Possion equation.
     所给出的算法适用于Possion方程的有限元求解问题.
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     The Finite Element Solution of Contact Problem and Its Applications in the Stability Analysis of Gravity Dams
     接触问题的有限元求解及其在重力坝稳定分析中的应用
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     We discrete the variational equation with Galerkin method, analyze the characteristics of interpolation functions employed for discreting pressure and velocity fields and established the finite element solution of algebraic equations.
     使用Galerkin方法离散变分方程,分析了离散速度场、压力场所用的插值函数的性质,建立了有限元求解的代数方程组。
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     The variable and algebraic equations for finite element solution were formulated via Galerkin method, and iteration steps for final pressure velocity solutions were presented.
     用Galerkin方法建立了有限元求解的变分方程和代数方程,给出了迭代求解步骤;
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  “element solution”译为未确定词的双语例句
     FINITE ELEMENT SOLUTION TO COUPLED THERMO-ELASTIC CONTACT STRESS AND IMPACT RESPONSE OF MESHING GEARS
     FINITE ELEMENT SOLUTION TO COUPLED THERMO-ELASTICCONTACT STRESS AND IMPACTRESPONSE OF MESHING GEARS
短句来源
     Error Estimate and Numerical Simulation for Characteristics Finite Element Solution of 1-D Richards Equation
     1-D Richards方程特征有限元法的误差估计及数值模拟
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     aero-N-56.The suitable medium was that glycerol,90 g/L; NH 4Cl 1.50 g/L; Fe 2+ 0.005%,Co 2+ 0.004 %,trace element solution,12 m L/L.
     通过单因素实验 ,确定了E aero N 56菌株 1 3 PD发酵培养基为 :甘油 90g L ,NH4Cl 1 50g L,Fe2 + 0 0 0 5 % ,Co2 + 0 0 0 4 % ,微量元素液 1 2mL L。
短句来源
     B-Spline Finite Element Solution of Waveguide Eigenvalue Problems
     B样条有限元法解波导本征值问题
短句来源
     By measuring the rate of ammonia oxidation,it was found that the optimal conditions were NaHCO_3 1 g/L,(NH_4)_2SO_4 2 g/L,pH 8.5,packing the liquid deal 50mL in an Erenleger flask (250 mL),trace element solution 1 mL under the optimal conditions,the rate ofammonia oxidation of Nitrosococcus sp. was 17.04 mg/g·h. .
     研究发现,最适条件:NaHCO3为1g/L,(NH4)2SO4为2g/L,pH值8.5,装液量50mL/250mL三角瓶,微量元素溶液1mL/L. 氨氧化速率达到17.04mg/g·h.
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  element solution
A two-step algorithm for finite-element solution of electromagnetic-testing problems: Electric-capacitance testing
      
A two-step algorithm for finite-element solution of electromagnetic-testing problems: Eddy-current testing
      
We consider an iterative algorithm of mesh optimization for finite element solution, and give an improved moving mesh strategy that reduces rapidly the complexity and cost of solving variational problems.
      
Furthermore, the superconvergent approximation between the interpolation of the exact solution and the finite element solution is proved.
      
SIF values from the present calculation and finite element solution are also given for comparison.
      
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In the article, the electric field distribution in composite dielectrics has been analyzed by the finite element method using the elements of the Lagrange and Hermite types. Theoretically, the accuracy of the finite element solution by using the element of the H-type is higher than that by using the element of the L-type. But the practical computations have shown that with improper treatment of boundary conditions the result of the finite element solution will be less accurate when the...

In the article, the electric field distribution in composite dielectrics has been analyzed by the finite element method using the elements of the Lagrange and Hermite types. Theoretically, the accuracy of the finite element solution by using the element of the H-type is higher than that by using the element of the L-type. But the practical computations have shown that with improper treatment of boundary conditions the result of the finite element solution will be less accurate when the element of the H-type is used than when the L-type is used.

本文分别用Lagrange型和Hermite型元素,对复合层介质电埸分布进行有限元分析。在理论上,采用H-型元素所得到有限元介的精度,总是比L-型高,但是实际计算表明,若边界条件处理不当,H-型元素精度反而不如L-型元素。我们采用L-型元素分别计算了高压油纸式短尾电容套管龟埸分布及变压器线圈间主绝缘电埸分布,计算的结果,相当满意。

In this paper, we consider the first boundary value problem of second order elliptic equation and m≥1 degree serendipity rectangular elements. It is proved that s- th order derivatives of the finite element solutions (0≤s≤m, s + m≥2) possess superconvergence at (m + 1- s) 2 fixed points on each element.

考虑二阶椭园型方程第一边值问题及m≥1次奇妙族矩形元,本文证明了有限元解的S阶(0≤s≤m,s+m≥2)导数在每单元的(m+1-s)~2个固定点上有超收敛性。

Hybrid stress elements and isoparametric elements are adopted to calculate stress intensity factors and J-integral of plane cracks in this paper. At every crack tip, an array of singular hybrid stress elements as sectors with parabolical arcs is arranged. Each sector is connected to a quadrilateral isoparametric element with eight nodal points. The principle how to use the two types of elements mixedly is interpreted in this paper. The advantages of the method are the following.(...

Hybrid stress elements and isoparametric elements are adopted to calculate stress intensity factors and J-integral of plane cracks in this paper. At every crack tip, an array of singular hybrid stress elements as sectors with parabolical arcs is arranged. Each sector is connected to a quadrilateral isoparametric element with eight nodal points. The principle how to use the two types of elements mixedly is interpreted in this paper. The advantages of the method are the following.( 1 ) The singular elements adopted as sectors can give a better description of the hoop stress distribution in the vicinity of a crack tip;( 2 ) The isoparametric elements are adaptable to every kind of curve boundary, and simple and convenient to calculate;( 3 )J-integral can be calculated quite accurately in the isoparametric element region, so that it can be extended to elasto-plasticity calculation of plane cracks.Three numerical examples are given as follows:( 1 ) a rectangular sheet with equal length edge cracks in both sides;( 2 ) a rectangular sheet with a long crack in single side; ( 3 ) a rectangular sheet with a oblique crack.Every sheet is stressed under single uniform tensile load. 216-256 degrees of freedom are adopted in every example respectively. Comparison o f the obtained results with those of analytical and other singular element solutions shows that the values of the stress intensity factors obtained in every example, whether those were solved from the linear equations or came from J-integral values, are all in good agreement. The errors are only within 1 - 2 %. The scatter degrees of J-integrals from 4 - 6 integral pathes in each example are only within±0.7%.By carrying out practical calculations it is shown that the advantages of the method are high accuracy, reduced computer run time, and adaptability to practical application.

本文介绍一种用奇异性杂交应力元及等参元计算平面裂纹的应力强度因子和J积分的方法。实际计算表明,此种方法的优点是精度高,计算时间短,便于实际应用。文中给出三个算例。各例分别采用216~256个自由度。计算结果同解析解及其他奇异元的解进行了比较。各例算得的应力强度因子值,均同解析解相差仅1~2%。每例中由4~6条路径求得的J积分值,其分散度均在±O.7%以内。 计算在TQ-16机上进行,程序编译约6~7分钟,每例的计算时间约6~8分钟。

 
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