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试函数     
相关语句
  trial function
     Based on the beam theory of two generalized displacements, the trial function is used to construct the displacement functions. Further the generalized thick/thin beam is established.
     基于两广义位移梁理论,利用解析试函数来建立厚/薄梁单元的横向位移、转角位移、曲率、剪应变等位移模式,构造出厚/薄梁通用单元.
短句来源
     In the third part analysis and calculation according to the method of weighted residuals is presented, from establishing control equations and boundary conditions, selecting trial function, to calculating the stress and deflection loaded by wind-pressure or complex forces.
     第三部分运用加权残值法进行分析计算。 从几何非线性大挠度理论出发,建立控制方程,选择试函数,确定边界条件,应用加权残值法分析计算幕墙玻璃在风荷载和复杂荷载作用下的应力和挠度。
短句来源
     Beams and plates on Winkler foundation and elastic half space were calculated by collocation method and comparisons with theoretical results were made,which had indicated that this trial function was suited to solving many boundary value problems and also had a high accuracy.
     采用配点法对Winkler地基和弹性半空间地基上的梁和板进行了数值计算 ,并与理论结果或其它数值方法进行了对比 ,采用总残值进行判断数值结果的准确度 . 结果表明 ,该试函数适用于多种边值问题 ,且精度较高 .
短句来源
     The analytical trial function method was used to extend the existing Kirchhoff triangular thin plate element, to the corresponding lock-free Mindlin triangular thick plate element.
     为了有效克服剪切闭锁问题,利用已有的薄板单元构造厚薄板通用单元,提出了采用解析试函数法(ATF),将已有的Kirchhoff三角形薄板单元推广为相应的Mindlin三角形厚板单元的通用方法。
短句来源
     Cubic B-splines taken as trial function, the large deflection of circular plateswith arbitrarily variable thickness was calculated by the method of point collocation.
     文中以三次B样条函数为试函数,用配点法计算任意变厚度的圆板的大挠度。
短句来源
更多       
  trial functions
     From the governing equations of the elastic plane problem and the Airy stress function, the fundamental analytical solutions are first derived and then used as the trial functions to formulate the elements: ATF-Q4a, ATF-Q4b and ATF-Q4q.
     根据弹性力学平面问题的控制方程和艾雷应力函数,求出问题基本解析解,然后用其作为试函数来构造单元:ATF-Q4a、ATF-Q4b、ATF-Q4q。
短句来源
     with respect to the(N+1) points and two extended additional points in the x direction and the(M+1) points and two extended additional points in the y direction,are employed as the displacement trial functions.
     为适应任意边界,修改N+3和M+3维B3样条函数向量的最前和最后三个函数,得到x方向N+1个点、y方向M+1个点和x-y方向两个附加点的修正的B3样条函数向量,并以此作为板的位移试函数
短句来源
     ANALYSIS OF PLANE NOTCH PROBLEMS WITH ANALYTICAL TRIAL FUNCTIONS'METHOD
     解析试函数法分析平面切口问题
短句来源
     From the governing equations of the elastic plane problem and the Airy stress function,the complete basic analytical solutions are derived and used as the trial functions to formulate the element: ATF-GCQ4X.
     根据弹性力学平面问题的控制方程和艾雷应力函数,求出问题完备的基本解析解,然后用其作为试函数并采用广义协调条件来构造单元:ATF-GCQ4X。
短句来源
     By starting from the general case of annular plates bearing the annular load, using the subdomain method in the weighted residual method,choosing simple trial functions (first, second, third-degree polynomial), we have found the solution of the limit load of annular plates on their various supporting conditions.
     针对环形板的不同支承条件,从其承受环形荷载的一般情况出发,分别选择一次、二次、三次多项式为试函数,采用加权残数法的子域法求出了环形板在各种条件下的极限荷载。 文中通过例题说明了用加权残数法求极限荷载的方法和过程,并且显示了该方法的简单性及优越性。
短句来源
更多       
  test functions
     The meshless natural element method is a new numerical method based on the Voronoi diagram and dual Delaunay triangularization structure for a set of randomly distributed nodes. In the meshless natural element method, a local Petrov-Galerkin formulation is employed to abtain the discrete system equations,where trial functions are constructed using natural neighbour interpolants, and test functions are constructed using the finite element shape functions for a triangle with three nodes or its Bernstein-Bezier basis functions.
     无网格自然元法是一种基于随机分布结点的Voronoi图形和相应的Delaunay三角化几何结构,以自然邻结点插值函数为试函数,以三结点有限元形状函数为权函数或以三结点有限元形函数为变量构造的Bernstein-Bézier基函数为权函数,并利用局部Petrov—Galerkin方法建立离散的系统方程的新型数值求解方法。
短句来源
     First, test functions selected to satisfy natural boundary conditions, but not to assure meeting equations, are regarded as the approximate solutions of equations and let weighted-integrating of errors in whole space domain equal to zero. It is explained that the sum of virtual work done by generalized forces equal to zero (the weak integration of equilibrium eqation).
     采用直接法,首先选取满足自然边界条件但不一定满足方程的试函数作为方程的近似解,并使误差在整个空间上加权累积为零,这可解释为广义力在虚位移上所做的虚功之和为零(平衡方程的弱积分)。
短句来源
     Galerkin direct method is employed. First,test functions satisfyed natural boundary conditions are selected. Then approximate analytic formulations of system frequency are derived.
     本文采用Galerkin直接解法,首先选取满足自然边界条件的试函数,而后求出了系统固有频率的近似解析公式,同时也得到了极限流速的近似解析公式.
短句来源
     In the study of exact elements,it has been shown and proved that,as long as the test functions are constructed using the solution of the adjoint differential equation,the element is bound to produce exact nodal solutions no matter what the trial functions are employed.
     在对精确单元的研究中,发现与Ritz有限元法不同,只要检验函数采用伴随算子方程的解,无论试函数取何形式,在结点处都可得到精确的解函数值。
短句来源
  test function
     An effective procedure for solving the problem of plastic limit analysis of taper-shell with the method of weighted residuals is presented. By this procedure multinomials are used as a test function and subdomain method is applied to eliminate residuals.
     本文将加权余量法用于圆锥壳的塑性极限分析,用多项式作试函数,以子域法消除余量,解决了圆锥壳的极限分析问题。
短句来源
     This paper presents the strase analysis of rotating plates with trregular shapes. Thecontributions of displacements and stresses in the plates are obtained by the use of themathematical programming on method of weighted residual and the complete test function of double trigonometric series. The numerous results show that the stress contributions in rotating structuresof irregular shape are much different from regular structures.
     本文分析形状不规则旋转平板的应力状态.利用完备的双重三角级数作为试函数,运用数学规划加权残值法求得旋转板的位移和应力.数字计算结果表明尺寸不均匀旋转结构上的应力分布状况与尺寸匀称结构有很大的不同,因此更应注意其安全问题.
短句来源
     The natural element method(NEM) is a newly appeared numerical method to solve the partial differential equation(PDE). In the natural element method,the trial and test function are constructed using the natural neighbor interpolation method and the interpolation is constructed with respect to the Voronoi tessellation of the scattered points in the problem domain.
     自然单元法(NEM)是新近出现的一种求解偏微分方程(PDE)的数值方法,它采用自然相邻点插值方法在全域构造近似函数和试函数,该方法基于整个求解域内离散节点的Voronoi结构。
短句来源
     In natural element method(NEM),the trial and test function are constructed with the natural neighbor interpolation(NNT) method. The interpolation is constructed with respect to the Voronoi tessellation of the scattered nodes in the problem domain.
     自然单元法采用自然相邻点插值方法在全域构造近似函数和试函数,该方法基于整个求解域内离散节点的Voronoi结构。
短句来源
     It uses the moving least square approximation as a trial function,and uses the weighted function of the moving least square approximation as a test function of the weighted residual method.
     这种方法采用移动最小二乘近似函数作为试函数,并且采用移动最小二乘近似函数的权函数作为加权残值法的加权函数;
短句来源

 

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  trial function
The proof is based on the trial function method developed by Mitidieri and Pokhozhaev without recourse to comparison theorems and to the maximum principle.
      
When producing the trial function for the body trajectories in the "velocity-altitude" variables, we did not allow for fragmentation explicitly, since it is less probable for small meteoroids than for large ones.
      
Moreover, an analysis of the correlation between EL and EU with increasing number of terms in the expansion of the trial function makes it possible to improve the accuracy (at least by one order of magnitude) of the value E∞ extrapolated to infinity.
      
Making a Jastrow ansatz for a variational wave function of a strongly interacting extended Fermi system, we derive a set of integro-differential equations to relate the Jastrow trial function to the radial distribution function.
      
Our previously developed trial function scheme has been generalized to investigate the spin and charge polarization around the nearest neighbors of the impurity, and the influence of the polarization on the formation of local moments.
      
更多          
  trial functions
We obtain conditions for the nonexistence of global solutions and estimates of existence time for local solutions to the problem The proofs are based on the method of trial functions developed by Mitidieri and Pokhozhaev.
      
The variational principle for the integration of the convective-diffusion equation is developed, which reduces the problem solution to selecting adequate trial functions.
      
The application of the least-squares method with the use of various models as trial functions shows that the model of a single body with ablation provides the best fit to the observed trajectory.
      
Lower bounds with exponential trial functions are obtained for the first time (the corresponding formulas are presented for the first time as well); for a Gaussian basis, lower bounds for Coulomb systems have not been known either.
      
For variational calculations of molecular and nuclear systems involving a few particles, it is proposed to use carcass basis functions that generalize exponential and Gaussian trial functions.
      
更多          
  test functions
In this article the p-adic Lizorkin spaces of test functions and distributions are introduced.
      
Methods of structural and structural-parametric design of complex nonlinear systems were developed on the basis of the method of test functions using the robust statistics and the Fokker-Plank-Kolmogorov equation.
      
The Boltzmann collision operator is computed for a variety of test functions characteristic of the motion of a rarefied gas and the values obtained according to it are compared to the Krook model.
      
Homological dimensions of certain algebras of principal (test) functions
      
The braking trajectories based on the model of successive destruction with ablation are used as the test functions.
      
更多          
  test function
Test Function-based Design of Robust Systems for Nonparametric Detection and Discrimination of Information Signals in White Gaus
      
The proofs are based on the test function method developed by Mitidieri and Pokhozhaev.
      
In the first part, an investigation on the relative efficiency of the different real-coded genetic algorithm is carried out on a typical mathematical test function.
      
The approximation error for the three test function ei, ei(x)=xi, i=0,1,2 is hereby of special importance.
      
A new maximal funtion is introduced in the dual spaces of test function spaces on spaces of homogeneous type.
      
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