查询词典 curvilinear coordinates

In this paper, a general, strain-consistent, third-order displacement field of shells is proposed. On this basis, the nonlinear theory of composite laminated shells including third-order transverse shear deformation and rotary inertia is developed. Hamilton's variational principle is used to derive the nonlinear static and dynamic governing differential equations and the corresponding boundary conditions of composite laminated anisotropic general shells under the orthogonal curvilinear coordinates. And the form of spherical shells is degenerated.

本文提出了一种最普遍的应变协调、三阶壳体位移场，在此基础上建立了考虑三阶横向剪切变形和旋转惯性的复合材料层合壳体非线性理论，用Hamilton变分原理导出了复合材料层合各向异性任意壳体在正交曲线坐标系下的非线性静、动力控制微分方程和相应的边界条件，并将其蜕化为球壳形式。

The necessary and sufficient condition of separation for homogeneous Scalar Helmholtz equation is both the existence of Stackel determinant and h 1h 2h 3S=f 1(μ 1)f 2(μ 2)f 3(μ 3)in orthogonal curvilinear coordinates system.

讨论了在正交曲面坐标系中齐次标量Helmholtz 方程变量分离的充要条件是Stackel行列式存在且h1h2h3S＝ f1（μ1）f2（μ2）f3（μ3）成立。

Partial and total differentials, Vector analysis, Orthogonal curvilinear coordinates, Matrices and

基础物理数学( S0043)(0，3)/基础应用数学( S0249)(0，3)偏微及全微分(1)、向量分析(7)、正交曲线座标系(3)、矩阵及本徵值问题(4)、常系数全微分方程式(1)。

By introducing reasonable fundamental assumptions and the Green strain in orthogonal curvilinear coordinates,geometric equations expressed by the Green strain tensor for solving thin shells with large deformation are derived in this paper.

将正交曲线坐标下的格林应变张量引入到薄壳大变形分析，通过建立恰当的基本假设，直接导出了用格林应变张量表示的壳体变形几何方程，将该方程代入到本构方程，由能量原理得到了小应变非线性变形平衡方程、内力方程和边界条件，在此基础上提出了大应变变形的简化分析方法。

Based on depth averaged mathematic model of flow and pollutant tr ans portation in non orthogonal curvilinear coordinates , the k-ε double equat ions' turbulence model and the coupling arithmetic of velocity water depth are a dopted, which are applied to the numerical simulation of the flow and the contam ination diffusion transportation.

基于非正交曲线坐标下水流与污染物扩散输移的深度平均数学模型，采用k -ε双方程湍流模型和速度—水深耦合算法，应用于实验室连续弯道的水流及污染物扩散输移的数值模拟，分别计算了流场及岸边和中心污染物排放的浓度场，得到与实测值吻合良好的计算

Based on Wu's general three-dimensional turbomachine flow theory, the flow field matrix line relaxation computer program was established for flow along the relative stream surface S2, employing non-orthogonal curvilinear coordinates and non-orthogonal velocity components.

针对叶轮机械S_2流面反问题的计算，介绍了使用任意非正交曲线座标和非正交速度分量的S_2流面反问题流场线松弛解法计算机程序。并对该程序与目前一般常用的速度推广法程序和矩阵直接解法程序的不同之处，作了简要的比较和评论。

The former, such as Bettess element and Astley element, needs geometry mapping and shape functions in terms of local coordinates, while for the latter, the shape functions are directly expressed in terms of global coordinates. This paper reviews the state-of-the-art and recent advances of the infinite element method for unbounded domains.

无限元分为映射无限元和非映射无限元：映射无限元需要引入几何映射，在局部坐标系中构造插值形状函数，如Bettess 元和Astley元；非映射无限元则直接在整体坐标系中构造插值形状函数，如Burnett元。

We treat the problem by separating the physical region into two domains useing spherical coordinates and bispherical coordinates respectively.

软球粒子因拥有特殊的物理结构，因此能够更贴切地描述生物粒子或人造复合粒子，也会造成许多不同於硬球的结果出现。

Equations of SBFEM for a seepage problem are derived with a transformation from Cartesian coordinates to scaled coordinates.

通过比例坐标与直角坐标之间的转换，推导渗流问题的比例边界有限元方程。

The unified mathematical description of these two ways usually uses the Cartesian coordinates or polar coordinates formulas.

这两种表示的数学描述通式，一般是在直角坐标系下的点或者矢量表达式。

"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。