有限元模型用质量和刚度参数表示，这些参数由正交条件和特征方程的加权欧氏范数取极小值来确定。
The finite element model is expressed by mass and stiffness parameters, which are determined by minimization of weighted Euclidean, norms of orthogonality conditions and characteristics equations.
根据哈密尔顿系统理论，深入研究了系统特征方程的闭环极点和加权矩阵的关系，给出了希望加权矩阵的确定方法。
Based on the Hamiltonian system's theory, the relationship between closed-loop poles of system characteristic equation and weighting matrices was thoroughly investigated.
结果表明：起伏地表波动方程叠前深度偏移照明加权成像结果与理论模型构造形态非常吻合。
The result showed that the illuminated weighting imaging results by wave equation prestack depth migration from relief surface very coincide with the structural configuration of model.
采用加权曲面参数方程拟合型腔侧壁曲面的算法，实现了子午线轮胎活络模模具型腔曲面的构造。
Apply the weighted surface parameter equation to fit the algorithm of cavity lateral surface, and realize the cavity surface construction of radial parting mold of meridian tire.
离散型最小二乘法是解微分方程的加权残值法的一种。
The discrete least square method is one of methods of weighted residual (MWR) for Solving differential equations.
通过转换该凸最优的约束方程为简单的一维搜索，提出了最优加权系数的有效求解方法。
Converting the convex optimization question to simple one dimension search, we get the effective method to settle the optimal weight coefficient.
应用加权余量法于动力相似非耦联方程，建立了结构实验的动力模拟势能原理。
Next, dynamic simulated potential energy principle for structural experiments is established by applying weighted residual method to the dynamic similarly non-coupled equations.
然后求解这个加权矩阵方程，得到频率域的稀疏解。
Then the sparse solution in frequency domain can be obtained through computing the weighted matrix equation.
并用加权法推广到一般情况下驱动速度的分配的协调方程。
Using weight distribution method are set also the equation for common situation inthe rear part of the paper.
加权残值法是一种可以直接从偏微分方程中求得近似解的数学方法。
The method of weighted residuals is a mathematic procedure with which approximate solutions can be obtained directly from partial differential equations.
采用加权平均法可以得到该方程的近似的解析解，同时提高了计算精度。
The analytical approximate solution of the equation is been obtained and the calculated precision is improved simultaneously by using the Weighted Average Method.
结果表明：本文提出的控制微分方程的加权残值法解是成功的；而且圆柱壳的剪变形理论有满意的精度。
The results show that the solution of differential equations' MWR is successful, and the precision of the shear deformation theory of cylindrical shells is satisfactory.
本文提出一种求解偏微分方程的加权残数法。
A new Weighted Residual Method for solving Partial differential equation is presented in this paper.
本文建立了分析粘弹流体平面流的基本方程，并采用摄动法和加权余量法。
Fundamental equations for the analysis of plane flow of elastic-viscous fluid are established.
首先，采用伽辽金加权余量法推导有限元平衡方程，利用罚方法得到求解拟静态问题的罚有限元公式。
First, the penalty finite element balance equation for quasi-static problem is obtained by the application of Galerkin weighted residual method and the introduction of penalty parameter.
用法福尔质量加权平均N-S方程及两方程湍流模型求解三维超声速平板湍流边界层流动；
The mass-weight averaging N-S equations are adopted as the governing equations of flow, and a two-equation turbulent model is employed.
本文采用胡海昌关于具有三个广义位移平板的微分方程及边界条件，用加权残数法求解。
In this paper, Hu Haichang's differential equation and its boundary conditions for plates with three generalized displacements are employed and the method of weighted residuals is used.
列出了对位置偏差估计的状态方程和测量方程，用加权的最小二乘估计和卡尔曼滤波算法，实现了定位和跟踪。
The state equation and detecting equation of the position error of moving target are built, the location and track to moving target is achieved by least-square estimation and Kalman filter algorithm.
电力系统加权最小二乘准则的状态估计，通常采用正规方程法。
Power system state estimation is usually formulated as a weighted least-squares problem and is solved iteratively by the normal equation method.
采用加权残值法对耦合方程组进行有限元离散，并推导相应的弹塑性矩阵。
The governing equations are discredited by using Galerkin method, and the matrix for elastoplastic constitutive model is also deduced.
该模型通过隶属度加权来削弱个别异常数据对回归直线的影响，从而达到提高回归方程稳定性的目的。
By means of weighted subordination degree this model weakens the influence of distinct abnormal data affecting upon the regression straight line and...
借助并矢分析，分别采用加权余量法和变分法，推导出了三维非线性各向异性静磁场的矢量位有限元方程的一般计算公式。
The 3d finite element vector potential equations of non-linear anisotropic magnetostatic field have been derived in a pithy style by dyadic analysis.
当在空间位置出现突变时，偏微分方程的经典解法如有限元法和加权残差法等无法保证解的精度和收敛性。
The problems of resolution and convergence are increased by classic methods such as FEM and WRM when the solutions exhibit sharp changes.
本文研究了如何从加权残数法出发建立拉普拉斯方程数值流形方法的求解方程。
The numerical manifold method of Laplace equation was presented, it was also more general than the minimum potential energy principle to obtain the governing equations of the NMM.
该算法通过对高度的加权估计增加定位方程组中的已知信息，进而将方程组扩充为可求解的状态。
With the weighted altitude added into the navigation equations, they can be solved properly. Meanwhile, the clock bias forecast model is proposed.
本文研究了如何从加权残数法出发建立拉普拉斯方程数值流形方法的求解方程。
So we should implement the method of weighted residuals to derive the governing equations of the NMM.
应用加权最小二乘(WLS)法可得到一个加权融合观测方程，且它与状态方程构成一个等价的加权观测融合系统。
For the multisensor systems, using the weighted least squares (WLS) method, a weighted measurement fusion equation and a equivalent weighted measurement fusion system are obtained.
本文将QR法和样条加权残数法结合起来，求解高层框剪结构的地震动力反应。先用QR法建立结构的振动方程，然后，用样条加权残数法来求解。
In this paper, QR method and spline weighted residual method are combined to solve seismic responses of tall frame-shear wall structures.
本文将QR法和样条加权残数法结合起来，求解高层框剪结构的地震动力反应。先用QR法建立结构的振动方程，然后，用样条加权残数法来求解。
In this paper, QR method and spline weighted residual method are combined to solve seismic responses of tall frame-shear wall structures.
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