运动方程

The two kinds of symmetries in holonomic and non-holonom-ic mechanical systems,i.e.symmetries of differential equations of motion(ab-breviated as SDEM)and symmetries of Noether-type,and interrela-tions among all kinds of symmetries are investigated.The necessary and suffi-cient conditions of SNT to be SDEM are found out.It is pointed out thatSDEM have distinct geometric properties which are equivalent to the geodesiccharacteristic of differential equations of motion and geodesic deviation.

文中研究了完整与非完整力学系统的两类对称性，即运动微分方程的对称性和Noether型对称性，以及各种对称性之间的相互关系，确定了Noether型对称性为运动微分方程对称性的充分必要条件，并指出运动微分方程的对称性具有明确的几何性质，即它等价于运动微分方程的测地性质以及测地偏离性质。

The equations of motion for the nonlinear nonplanar flexible cantilever are derived by using the generalized Hamiltons principle. Then, the Galerkin procedure and the method of multiple scales are used to give the perturbation analysis of the system and the average equations. The three resonant cases are considered in this dissertation.

对于非线性非平面运动悬臂梁，利用广义Hamilton原理详细推导了运动微分方程，综合运用Galerkin离散方法和多尺度法对非线性非平面运动悬臂梁的动力学方程进行摄动分析，得到了三种共振情况下的平均方程。

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。

The main contribution of this dissertation is summarized as following:1 The basic equation of six-degree of freedom movement in the underwater platform is accomplished on the ground of studying the torpedos cruise movement.

主要做了如下的探索性研究和解决了相关的关键性问题： 1、参考鱼雷巡航运动的空间方程建立了水下平台六自由度运动的基本方程，对平台的水平横移、垂直移动进行了受力分析，并利用牛顿定理在基本方程的基础上建立了统一的动力学方程。

Therefore at low temperature, the fluctuations of charge and current in the RLC circuit are quantum mechanical effects, which is a quantum phenomenon originating from fluctuations of zero point vibration of the system.

在给出了介观RLC电路的动力学运动方程的基础上，计算了电路中电荷和电流的量子涨落，并研究了温度对量子涨落的影响。

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。

The dynamic performance equations for flexible rotor-bearing system are eshablished, the dynamic analysis for the rotor bearing system is carried out, the influence of mechanical seals to forced and self-exciting movement of rotor-bearing system is presented.

建立了柔性转子轴承系统的运动方程，对水轮机转子－轴承系统进行了动力学分析，确定了机械密封对转子－轴承系统动力学性能的影响。

Many textbooks have derivations of the equations of motion.

很多教科书都有运动方程的推导。

Through the large 〓 analysis of equation of motion for 〓 and thecalculations of contribution of 〓 to mass splittings, we find: 1.the time-component 〓 of 〓 takes the order of 〓 while its space-component 〓 possesses the order O,the same order as the one of ω.

通过对〓运动方程的大〓分析及〓对转动惯量贡献的计算，我们发现：1。

Some results such as the potential distribution in the gun, the trace-space plot of ray in anode plane, the impact on beam focusing caused by the spacing of diode were obtained.

计算程序以带电粒子的洛伦兹力运动方程的相对论形式为基础，在充分考虑了空间电荷效应和电子自身产生磁场的情况下编写而成。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐