运动方程

Give out the trigonometric function solutions of fourth order equations, as a example with rectilinearly accelerating the Kerr black hole, the event horizon of non sphere symmetric and non stationary black hole are studied.

给出了具有实用价值的四次方程的三角解正根公式，并以匀加速直线运动的Kerr黑洞为例，成功的研究了非球对称动态黑洞的"类视界面"。

Presents again a new formulation of Lagrange s equations by using an augmented Lagrangian function with the second order non linear nonholonomic constraint equations.

以Dirac方程为依据，求出了在电磁场作用下，质量为m ，自旋为 1 /2的荷电粒子在场中运动时的能量本征值及其拉氏函数密度的明显表示式，并对其微观物理机制作出了较为明晰的解

A dynamic model was developed with kinematic differential equation derived for a dual-disc over-hung rotor system with rub-impact fault. The stability of the system and stability regions were studied by setting up nonsingular linear transform matrix and by use of Jacobi matrix in combination with the theory of Routh Hurwitz. Then, the effects on the stability regions of the system were discussed with relevant parameters.

建立了悬臂双盘碰摩转子系统的动力学模型和运动微分方程，通过创建该系统的非奇异线性变换矩阵并利用变换矩阵的Jacobi矩阵结合Routh Hurwitz理论，研究了悬臂双盘碰摩转子系统的稳定性和稳定区域，并进行了相应的参数讨论。

Based on the eigen theory of elastic mechanics , the Hamilton density functions for various deformation process are obtained by defining the normal conjugate momentum density , and the Hamilton normal equations for elastic body are also given .

Hamilton体系由于其方程具有对称性，在经典力学和量子力学及其场论等领域中发挥了重要作用。Hamilton体系与Lagrange体系的不同之处体现在：它是在相空间，以对偶变量的形式描述系统的运动规律。

3The variables that described changing of gas in the room of gas operatedand moving law of piston are thought random.The numerical value answer aboutrandom differential equation is given.

3考虑描述自动机气筒压力变化规律和活塞运动规律的控制方程中各变量的随机扰动，提出了求解随机微分方程组的数值解法。

The earth is modeled as an oblate and rotating spheroid, and higher order terms in the multiple expansion of gravitational fields are considered. To avoid singularities in computations, the quaternion representation of the spacecraft attitude is used in the angular kinetic model equations.

其中地球被描述为绕短轴自转的椭球体，重力场梯度由四阶Jeffery常数描述，航天飞机的姿态运动用四元素法描述，以避免模型方程中的数值奇异点。

The motion of plunger of oleo damper excited by colored Gaussian noise with exponential correlation time is governed by first order nonlinear differential equation.

摘要油液阻尼器受指数型高斯色噪声外激励时，活塞在油腔内的运动可用一阶非线性动力学方程描述。

A method of unstructured dynamic patched grid on the basis of linear spring analogy is developed in the present paper,and the unsteady Euler equations are solved to simulate the rotor forward flight flow field.

发展了一种基于线性弹簧理论的非结构运动对接网格方法，通过求解非定常Euler方程模拟了旋翼的前飞流场。

The new model is a first-order ordinary differential equation group for the fluid pressure in the cylinder...

该方程是关于液缸内液体压力、泵阀升程与泵阀运动速度的一阶常微分方程组。

On the basis of introduction of kinematic analysis methods, the paper founds the stationary coordinate system and the wheel coordinate system respectively. Meanwhile, the kinematic constraint equations of the standard centered orientable wheel is founded on the assumption that there is no slippage in normal direction and pure rolling in tangential direction of the wheels.

在简要介绍常规的运动学分析方法的基础上，建立了相关的惯性坐标系和滚轮坐标系，并根据滚轮在法向无滑动、切向作纯滚动的假设建立了中心定位轮的运动约束方程。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。