查询词典 motion equation

Firstly, we calculate the Lie point symmetry of 1+2-dimensional nonlinear evolution equation:Which arises from the motion of plane curves in affine geometry.

我们首先计算了来自射影几何的平面曲线运动的非线性发展方程：所容许的李点对称群。

Sphere;; affine geometry;; similarity geometry;; motion of surface;; integrable equation

论文导师屈长征，论文学位硕士，论文专业应用数学

In terms of relevant relationship to equation of motion of the elastodynamics plane problem for an orthotropic anisotropic body, the universal representations of analytical solutions are obtained with the method of self-similar functions.

根据正交异性体弹性动力学平面问题运动方程的相应关系，采用自相似函数的方法可以获得解析解的一般表达式。

The anti-plane equation of motion for an orthotropic anisotropic body has several expressive manners, moreover the presentations of self-similar solutions are particularly simple.

正交异性体的反平面运动方程有几种表达方式，而以自相似解表达方式尤为简单。

In the functionally graded elastic half-space and the functionally graded covered layer, the motion control equations for the antiplane shear wave are solved, the analytical solutions for displacement and stress are obtained, and with these analytical solutions, the dispersion equation of Love wave is obtained.

对功能梯度弹性半空间和功能梯度覆层的反平面剪切波的运动控制方程进行了求解，给出了半空间和覆盖层的位移、应力解析解，给出了Love波在该解析解下的频散方程。

In system on chaos state, motion trajectory controlled by a equation is sensitive to initial conditions. For example, two trajectory from two close initial values were not very difference at short notice. But the distinct difference will presented consequentially after an enough long time.

混沌状态下的系统，按照某方程运行的轨道敏感地依赖于初始条件，例如从两个邻近的初值出发的两条轨道，在短时间内似乎差距不大，但在足够长的时间以后，必然呈现出显著的差别。

In this thesis,we study the equation governing the motion of second grade incompressible fluids in a bounded domain of R~3, with slip boundary condition by Galerkin method and Hodge Decomposition theory.

本篇硕士学位论文主要是应用Galerkin方法和Hodge分解理论研究二阶不可压缩流体的slip型边值问题。

The equation for robot system motion in the joint space can then be represented as Cartesian space coordinates based on the Jacobian matrix.

本研究利用图形化的建模方式来下达控制命令，来模拟机械手臂尾端定位之控制，进而运用在即时控制上。

To investigate the dynamic stability of a two-degree-of-freedom manipulator as a system,differential equations of motion for this system were established on the basis of the Lagrange equation,and perturbed differential equations with period coefficients were derived for the period motion of this system by applying the perturbance theory.

为了研究两自由度机械手系统的动力学稳定性，基于拉格朗日方程给出了它的运动微分方程，并用扰动理论确定系统周期运动具有周期系数的扰动微分方程；根据F loquet理论对该系统扰动微分方程的平衡点的稳定性进行了分析，并用数值方法研究了平衡点失稳后的倍周期分岔过程。

Based on thefundamental equations of motion of the theory of radial nonhomogeneousspherically isotropic elasticity,and,by introducing three displacementfunctions ψ,G and w,we get a simplifted system of the problem thatincludes an independent second order partial differential equation offunction ψ and a coupled partial differential equation set of functions Gand w.

针对沿径向为非均匀的且考虑温度和体积力影响的球面各向同性弹性体的振动问题，本文从三维基本运动方程出发，引入三个位移函数ψ，G和w，将问题简化为求解一个关于ψ的独立的二阶偏微分方程和一个关于G和w耦合的偏微分方程组。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。