查询词典 motion equation

It is shown that two-component Wadati-Konno-Ichikawa equation, i.e. a generalization of the wellknown WKI equation is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. At the same time, a n-component generalization to the WKI equation is obtained. Also, starting from the motion of curves, mKdV and its symmetry recursion operator is exhibited explicitly; two- and n-component mKdV systems are obtained. It is shown that WKI systems are gauge equivalent to mKdV systems. The two-component WKI equation admits an infinity number of conservation laws and a recursion formula for the conserved densities is given by considering an eigenvalue problem together with introducing an appropriate transformation.

在二维和三维欧氏空间上，我们从空间曲线运动出发，推导出了mKdV方程以及它的用以生成高阶对称的递归算子；推导出了多元mKdV方程以及二元和多元WKI方程，并证明了WKI系统和mKdV系统的规范等价性；尔后，通过考虑特征值问题，并引入一个恰当变换，给出了二元WKI方程的用以计算无穷多守恒密度的递归公式，从而证明了二元WKI方程的守恒可积性；系统地分析了两种mKdV方程的Painleve性质，并分别给出了两种不同形式的二元和n元mKdV方程的共振点出现的规律。

In this paper, by discussing the basic hypotheses about the continuous orbit and discrete orbit in two research directions of the background medium theory for celestial body motion, the concrete equation forms and their summary of the theoretic frame of celestial body motion are introduced. Future more, by discussing the general form of Binet's equation of celestial body motion orbit and it's solution of the advance of the perihelion of planets, the relations and differences between the continuous orbit theory and Newton's gravitation theory and Einstein's general relativity are given. And by discussing the fractional-dimension expanded equation for the celestial body motion orbits, the concrete equations and the prophesy data of discrete orbit or stable orbits of celestial bodies which included the planets in the Solar system, satellites in the Uranian system, satellites in the Earth system and satellites obtaining the Moon obtaining from discrete orbit theory are given too.

摘 要：通过讨论天体运行背景介质理论的连续轨道及离散轨道这二个研究方向的基础假设，介绍了天体运行轨道的具体方程形式及理论框架概要；进一步地通过讨论天体运行轨道 Binet 方程的一般形式及其行星近日点进动角的解，给出了连续轨道理论与 Newton 理论及 Einstein 广义相对论的联系与区别；通过讨论天体运行轨道的分维扩展方程，给出了包括太阳系行星、天王星卫星、地球卫星、绕月航天器等在内的离散轨道方程及其预言数据。

By discussing the basic hypotheses about the continuous orbit and discrete orbit in two research directions of the background medium theory for celestial body motion, the concrete equation forms and their summary of the theoretic frame of celestial body motion are introduced. Future more, by discussing the general form of Binet's equation of celestial body motion orbit and it's solution of the advance of the perihelion of planets, the relations and differences between the continuous orbit theory and Newton's gravitation theory and Einstein's general relativity are given. And by discussing the fractional-dimension expanded equation for the celestial body motion orbits, the concrete equations and the prophesy data of discrete orbit or stable orbits of celestial bodies which included the planets in the Solar system, satellites in the Uranian system, satellites in the Earth system and satellites obtaining the Moon obtaining from discrete orbit theory are given too.

在深入研究引力理論及廣義相對論的基礎上，通過討論天體運行背景介質理論的連續軌道及離散軌道這二個研究方向的基礎假設，介紹了天體運行軌道的具體方程形式及理論框架概要；進一步地通過討論天體運行軌道Binet方程的一般形式及其行星近日點進動角的解，給出了連續軌道理論與Newton理論及Einstein廣義相對論的聯繫與區別；通過討論天體運行軌道的分維擴展方程，給出了包括太陽系行星、天王星衛星、地球衛星、繞月航天器等在內的離散軌道方程及其預言資料。

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 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。

Liu JunHua;Huang ShuGong;Liu JiDongA tri-dimensional model for a jeffcot rotor was reported. A new motion equation of the torsional vibration with natural retation and the conception frequency was presented. The natural frequencies of disk rotors with different geometrical structures and were computed based on the finite-element method, and the factors affecting the coefficient of the natural frequency with rotation were analyzed.

在转轴以一定速度旋转的条件下，推导了考虑转动频率情况下的单质量盘转子扭振运动方程，通过有限元方法对不同几何结构的单质量盘转子在不同转动频率下的扭振固有频率进行了计算，对影响单质量盘转子扭振动频的动频系数进行了分析。

The mooring force on buoy is calculated in use of the catenary's theory and B-Spline functions fitting, then the motion equation is solved in time domain.

具体方法是通过悬链线理论和B样条拟合求得浮筒所受的锚链力，然后求解结构的时域运动方程得到结构物的运动响应和锚泊系统的内部应力。

Motion equation of swash plate pump with inclined pistons was analyzed and deduced. Taking into account the leakage and the com pr essibility of oil, the simulation model was established with AMESim.

摘 要：对斜盘斜柱塞泵柱塞的运动方程进行分析和推导，考虑到泄漏及油液的可压缩性等因素，并在此基础上利用 AMESim 仿真平台建立了斜柱塞泵的仿真模型。

In summary, various key experimental conditions in electron acoustic imaging of ferroelectric domains were systematically studied. The optimum experimental conditions to obtain EAI of domains with good quality and the factors important to image analysis have been presented. The piezoelectric vibrator model and calculation of motion equation are helpful for explaining the imaging mechanism and related experimental phenomena. The sample holder with variable electric field was designed. The domain movement of BaTiO〓 ceramics and crystal under lateral and longitudinal applied electric field and domain movement of PMN-PT crystal under longitudinal poling electric field were observed. The application of SEAM on revealing of ferroelastic domains, imaging of residual stress distribution in ceramics coatings and around the pores on the surface of ferroelectric ceramic composite have been reported respectively. All these works enriched the study of electron acoustic imaging and extended the application of SEAM in the characterization of materials.

综上所述，本文系统地研究了各项关键实验条件对电畴电声成像的影响，指出了获得最佳畴结构电声像的条件和成像分析中应当考虑的各种影响因素；提出了解释电畴电声成像的压电振子模型，在此基础上推导并求解了压电振子运动方程，并对一些实验现象作出了解释；成功地设计了可变电场的样品台，观察了BaTiO〓陶瓷和晶体在横向电场作用下的畴运动，PMN-PT晶体在纵向极化电场作用下的畴运动；探索了电声显微镜在铁弹畴成像，陶瓷涂层应力观察，陶瓷自然表面气孔周围应力成像的应用，这些研究，丰富了电声成像的学术内涵，拓展了电声显微镜的应用领域。

In this paper, the modified motion equation of Timoshenko beam is first introduced, which is then compared with that of Timoshenko beam.

介绍了修正后的Timoshenko梁运动方程，并比较了修正Timoshenko梁与经典Timoshenko梁的运动方程。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。