查询词典 analytical geometry

However,authors still do not find the relevant references on convergence and symmetric problems of the semi-analytical solution.Based on the semi-analytical solution for Hamilton canonical equation theory,the formulations of the clamp and simply supported and symmetric boundary conditions on the Hamiltonian element are derived by the variational principle.Several numerical examples show that with increase of meshes,the convergence rate of the semi-analytical solution is faster than the convergent rate of traditional finite element method based on displacement.

①在厚度上没有任何位移和应力模式的假设，由于传递矩阵方法的引入，从理论上讲，不受板壳厚度或层合板壳层数的限制；②采用弹性力学的Hamilton正则方程半解析法，可以克服边界的局部化效应[8]；③由于在平面内或圆柱壳的曲面内采用了有限元法，所以一般的板壳问题不受结构侧面边界条件的限制，在复杂工程板壳问题上具有广泛的应用领域。

Extended the semi-analytical finite element method into the Dugdale model of elastic-plastic fracture mechanics, the analytical elements based on the Dugdale model of mode Ⅰ and mode Ⅱ crack are constructed. The formulas for the stiffness matrices and load vectors of analytical elements are deduced.

将上面的半解析有限元法应用于弹塑性断裂力学中的Dugdale模型，分别构造了基于Ⅰ型和Ⅱ型Dugdale模型的裂纹解析元，并建立了解析单元的出口刚度阵和荷载向量的列式。

The purpose of the examinatorial and designing analytical chemistry experiments is to develop students' abilities of utilizing the learned knowledge on analytical chemistry to solve the problems on experiment and improve their comprehensive abilities and skills in analytical chemistry.

分析化学实验是我校应用化学专业、食品分析专业、生物技术专业、动物医学专业和动物科学专业等学生必修的专业主干课，它的开设为培养和训练学生具有较强的科学实验能力和逻辑思维能力、分析问题和解决问题的能力，及具有良好的科研素质奠定了基础。

In order to test and verify validity of analytical methods and codes, we solve the Poisson equations and the Helmholtz equations that have analytical solutions with complex geometry using spectral element methods.

作为验证分析方法的正确性和代码的有效性，本文使用谱元方法求解了有精确解的简单区域和复杂区域的 Poisson方程和 HellnholtZ方程。

In this paper, the mathematic model of the 3D garment basic pattern is divided into geometry model and analytical model, the former decides the fundamental structure of garment basic pattern surface, but the latter presents the analytical expression.

考虑到服装设计的特殊性，文中将三维服装原型的数学模型区分为几何模型与解析模型两类，前者确定了服装原型曲面的基本结构，后者给出了解析表述。

On applying the theory of differential geometry, the research shows the procedure for determining the required cutter path for cutting conical cam profile using a NC milling machine based on the analytical profile expression of conical cam with oscillation conical roller follower or with a translating conical roller follower established in 3D space. The analytical expression of cutter path is provided for a tapered endmill cutter, whose size may be identical to or smaller than that of the conical roller.

应用微分几何理论，以在3维空间所建立的圆锥滚子摆动从动件和直动从动件圆锥凸轮机构凸轮廓面的解析表达式为基础，对数控铣床加工圆锥凸轮廓面所需刀具轨迹方程的建立方法进行了研究，根据所采用的锥形刀尺寸等于或小于圆锥滚子尺寸的情况，推导出相应的刀具轨迹方程的解析表达式。

The author also makes a distinction between the role of algebra in analytical geometry and that in Descartes'Geometry.

澄清了以往认为代数在解析几何中的作用与在笛卡儿《几何学》中的作用相一致的观点。

Quantity and space both play a role in analytic geometry , differential geometry , and algebraic geometry .

数量和空间在解析几何，微分几何和代数几何中都发挥作用。

Their application of convex body and geometry probability is the important theory in integral geometry and convex geometry, One can study the geometric invariants and geometric probability and other issues.

它们在凸体和几何概率中的应用是积分几何和凸几何的重要理论，通过它们可以研究几何不变量和几何概率等相关问题。

The Green's function in Cartesian geometry can be used to replace the complex Green's function in cylindrical geometry when solving the neutron diffusion equation in cylindrical geometry.

用格林函数节块法求解圆柱几何中子扩散方程时，可用平板几何格林函数代替复杂的圆柱几何格林函数。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"