查询词典 equation of motion

With the sample of longitudinal motion equation, calculating hydrodynamic coefficients by the potential fluid theory is introduced.

并以其纵向运动方程为例，详细介绍了用势流理论求解水动力系数的方法。

Taking the moments of hip and knee joint as its controlled variables, the simulation of the motion equation shows that: After increasing the joint moment at the cushioning phase, the vertical velocity of the body center of mass distinctively speedup while horizontal velocity fall to some degree. Thus, the resultant velocity remains basically constant, but the result distance of long jump can be increased due to the enlargement of the angle of take-off.

以髋、膝关节肌力矩作为运动方程的控制变量，对其修改后的模拟结果表明：增大缓冲阶段的关节肌力矩后，人体重心的垂直速度得到明显提高，而水平速度则有所下降，在腾起合速度变化不大的情况下，由于腾起角的增大提高了跳远成绩。

The coordinate transform of the Schrodinger equation was considered in order to investigate the quantized motion of the atoms.

最后，我们提出了一种新的利用磁场与衰逝光场对原子的共同作用来实现的环形原子波导模型。

According to the computational stability analysis conducted to the linear term time difference scheme in simple harmonic motion equation, one new semi-implicit integration scheme also is designed. By adopting a kind of revised time-explicitdifference scheme to these linear terms still included in spectral model governing equations, this defect of spectral model only partly used in semi-implicit integrating scheme, can be overcome to some degree.

以简谐振动方程中线性项时间差分格式对其计算稳定性影响为理论依据，本文设计了一种新谱模式半隐式时间积分方案，此方案通过对一般谱模式求解框架中那些隐含的线性项采用了一种显式修正的差分格式，可有效克服其国际谱模式半隐式时间求积方案实质上只是部分应用了半隐式差分格式的问题。

Considered the factor of damping,a single degree of freedom s dynamic model of the high-speed cam mechanism is established.Choosing the law of sine acceleration motion as the excitation function,a displacement and acceleration dynamic response equations of the main vibration phase and residual vibration phase,the working dynamic response change curve through the inferential reasoning working end movement equation is derived.The result is obtained that different period and damping ratio have different impact

建立了考虑阻尼因素的等效单自由度高速凸轮机构的动力学模型，以正弦加速度运动规律方程为激振函数，推导出了从动件系统主振段和余振段的位移和加速度动态响应方程并绘制出了动态响应变化曲线，得出了不同阻尼比和周期比对主振段和余振段的动态响应，从而为高速凸轮机构的合理设计提供了一定的理论依据。

In the aspect of the study of the application of HHT method, This dissertation has done three part of jobs: first, the Elcentro strong ground motion which is in common use in earhtquake engineering is analyzed by HHT method, getting its amplitude-frequency-time distribution and the comparison between the HHT marginal spectrum and Fourier spectrum is also made; second, the typical nonlinear system defined by the Duffing equation is analyzed by HHT method, getting its numerical value's amplitude-frequency-time distribution and the comparison between the HHT marginal spectrum and Fourier spectrum is also made; third, define the stationary degree of non-stationary signals making use of 3-D time-frequency spectrum and marginal spectrum, the stationary degree curve of Elcentro seismic recording is protracted according to its defining formula, the stationary degree curve of Elcentro seismic recording which change with time is protracted according to similiar definition.

在HHT方法的应用研究方面，本文做了三部分的工作：首先，利用HHT方法分析了地震工程中常用的Elcentro非平稳强震记录，得到了该记录的振幅－频率－时间分布特性，并将得到的边际谱与傅立叶谱做了比较；其次，应用HHT方法分析了典型的非线性系统－Duffing方程，得到了该方程数值解的振幅－频率－时间分布特性，并将得到的边际谱与傅立叶谱做了比较；最后，利用三维时频谱与边际谱定义了非平稳信号的平稳度，并依照其定义式绘制了Elcentro地震波记录的平稳度曲线，依照类似与依赖与频率变化的平稳度定义，初步尝试编程绘制了Elcentro地震波随时间变化的平稳度曲线。

Based on the principle of mass-changing mechanics,this paper analyzes the process of water wheel raising water,educes its movement differential equation s in its three stages from starting to stable running,obtains solutions of the equations,and calculates on the angular velocity of the waterwheel in constant motion.

应用变质量力学原理对农用水车在提水过程中所经历的三个不同阶段，即在运动过程中水车的受力和运动量都在发生变化的情况下，对其动力学问题进行了较为深入的分析，导出了水车由起动至稳定运转三个阶级的运动微分方程，并得到了它们的解答，进而求得水车在趋于定常运动时的转动角速度。

The paper describes theory of beam noise reduction in adiabatically varying magnetic field, deduces the relation between magnetic field and noise , gives out fourth order Runge-Kutta formula of 2-order differential equation, simulates the effects of different magnetic field on electron motion, the results show good agreement with theory analysis,it confirms that adiabatically varying magnetic field near the cathode can reduce the beam noise.

文章描述了回旋波保护放大器电子束绝热降噪的机理，推导了噪声与磁场的关系和二阶微分方程的四阶精度龙格－库塔法求解电子运动方程的公式，编程计算了电子在不同磁场中的运动轨迹，模拟了不同磁场对电子运动的影响，模拟结果与理论分析相符合，证实了阴极表面附近的缓降磁场可以降低电子束的噪声。

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。

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。