查询词典 equation of motion

Methods: 12 fresh frozen adult leg-foot specimens were mounted in a coordinated system, a Steinmann pin was perforated across the calcaneus, cuboidcum, talus, and naviculare as markers. The displacements of the marked points in the coordinated system were recorded. Through matrix translation and Euler equation, the rotational angle of the calcaneus, cuboideum, talus, naviculare were calculated, which represented the motion of the calcaneocuboid, talonavicular and ankle joint in different condition respectively, while statistical analysis were also taken between different conditions.

取新鲜足标本12例，通过加载使足产生某种形式的运动，用三维数字化坐标仪测量距下关节组成骨在某种运动状态下的相对三维坐标位移，通过矩阵转换和求解非线性函数方程计算其三维旋转角度，确定距下关节的运动范围、规律和在足整体运动中的作用。

The expression of the abnormal image motion was deduced from the collinear equation.

利用共线方程导出了这一非正常像移量的表达式。

During the numeric model processes, the finite element method is used to build the discrete model and analytical theory of the rotor-bearing system. The entire system is divided into several dividable substructures, each of which develops individual systematic mathematic model. Finally, the motion equation of whole structures is combined by the integrity of the dynamic variables and force balances on connections of each substructure.

在数值建模过程中，以有限元素法为基础，建立转子-轴承系统之离散模型与分析理论，将整个系统结构划分成若干个可分离部位的子结构系统，并发展子结构的个别系统数学模型，最后整体结构的运动方程式再以各子结构结合面上节点的动态参数一致性及力系平衡进行结合。

The use of CAE on the analysis of motor rotor-bearing system, During the numeric model processes, the finite element method is used to build the discrete model and analytical theory of the rotor-bearing system. The entire system is divided into several dividable substructures, each of which develops individual systematic mathematic model. Finally, the motion equation of whole structures is combined by the integrity of the dynamic variables and force balances on connections of each substructure.

本文探讨马达转子-轴承-框架系统之结构动态特性，提供动态特性之关系设计过程中，其转子-轴承系统的动态设计考量方法，利用电脑辅助工程技术，以有限元素方法，先将马达转子-轴承-框架系统分离各个部位成为子结构，将子结构个别的数学模型加以离散化，最后以各子结构结合面上节点的动态参数一致性及力系平衡，连结离散化子结构成为整体结构的运动方程式。

The interaction of electromagnetic waves and electriferous particles was considered and the equation of motion for an average electron in the plasma was established. And the effective permittivity of flame was deduced.

文中在考虑带电粒子运动与电磁场之间耦合作用的基础上，建立等离子体中带电粒子运动方程，推导了与火焰微观特性相关的复等效介电系数表达式。

It is found thatthe fractal dimension D=1.25 corresponds to the lowest criticalcoupling constant αc=1.9,D=1.73 corresponds to the highest criticalratio of dielectric constants ηc=0.163,and when D≤1.145 bipolaronscan not exist at any rate.In chap,4,we will propose a novelapproach to the calculation of the exciton ground-state energy for thestrong-coupling case.Different from all previous methods,the wavefunction of the phonon part is assumed to take a form related to thewave function of the relative motion.We obtain the exciton energy bysolving the derived integrodifferential equation rather than select ahydrogen-like form to minimize the energy expectation.

结果发现，分数维的维数D＝1.25对应最小的临界的电-声耦合常数(αo＝1.9)，D＝1.73对应最大的临界的介电常数比(ηc＝0.163)，当分数维的维数D≤1.145时，双极化子无论如何也不可能存在，在第四章中，我们将提出一种新颖的变分方法来计算强耦合的激子-声子系统的基态能，不同于以前所有的方法，我们取声子的波函数与相对运动波函数有关的形式，而不是假定一个固定的关于相对运动坐标r的函数形式，得到相对运动波函数所满足的非线性的微分积分方程，我们数值求解这个微分积分方程得到系统基态能，而不是选择一个类氢原子的波函数变分使得能量的期待值最小。

The coupling system including the vibration of vehicles and bridge structure is set up based on the vehicle-bridge coupling element due to pavement's stochastic irregulation, the motion equation is solved by numerical integration method.

通过基于桥面随机不平顺的车桥耦合单元建立包含车辆振动和结构振动的耦合系统，用数值积分法求解动力学方程。

The differential equations of motion and the state space model of the single inverted pendulum nonconservative damping system are deduced by using the second kind Lagrange equation.

利用第二类Lagrange方程推导了一级倒立摆非保守有阻尼系统的运动微分方程和状态空间模型。

The dynamic properties of the nonlinear planar cantilever and the nonlinear nonplanar cantilever are investigated, The main contents are as follows.The equation of motion for the planar cantilever is obtained by using the theory of elastic mechanics.

本文研究了非线性平面运动悬臂梁和非线性非平面运动悬臂梁二种模型的动力学特性，主要研究内容有以下几方面。

In chapter two, a deep and systematic study has been made on the force and equation of motion for a small rigid sphere in a nonuniform flow.

第二章对球形刚性小颗粒在任意流场中的受力及运动方程这一基本问题进行了深入而系统的研究。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。