查询词典 equation of motion

In the functionally graded elastic half-space and the functionally graded covered layer, the motion control equations for the antiplane shear wave are solved, the analytical solutions for displacement and stress are obtained, and with these analytical solutions, the dispersion equation of Love wave is obtained.

对功能梯度弹性半空间和功能梯度覆层的反平面剪切波的运动控制方程进行了求解，给出了半空间和覆盖层的位移、应力解析解，给出了Love波在该解析解下的频散方程。

This method is to compare the general motion of a rigid body with the force systems in space and the central axis equation of the force systems in space has been derived beforehand.

本文在此基础上，继续了这一工作，具体地给出了螺旋轴上每一点的矢径及坐标所满足的矢量方程和标量方程，即中心轴方程。

At the beginning of the first chapter the derivation from the Lagrange and Hamilton to the motion equation of a charged particle in magnetic fields in classic mechanics is presented.

论文的第一章是基础理论，一开始是推导经典力学中的单个带电粒子在电磁场中的运动方程，分别从拉氏量和哈密顿量推导。

Then, the kinematic model is modeled and the mobility is discussed in the paper. And the motion condition equation of the robot is gotten in sequence.

然后，建立了机器人的运动学模型，并讨论了机器人的移动性问题，得出机器人存在运动的条件。

The motion equation of a particle is reduced to the nonlinear differential equation with a weak_periodic modulation by sine_squared potential.

利用正弦平方势把粒子运动方程化为具有外周期弱调制的非线性微分方程，并利用Melnikov方法分析了系统出现Smale马蹄的临界条件。

By means of the fractions of the equation of the non一ideal constrained motion of the particle along the plane curve on the tangential direction and normal direction,the motion speed expression of the particle under this condition is derived,the constrained counter force is further gained,thus some non一ideal constraint problems are solved from the given angle.

通过质点沿平面曲线的非理想约束运动方程在切线和法线方向上的分式，导出质点这一条件下的运动速度表示式，并进一步求出其约束反力，从一定角度解决一些非理想约束问

The bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity, rotor rotating speed, eccentric mass is analyzed, in the numerical value analysis method. The bifurcation diagrams, maximum Lyapunov exponent diagrams, Poincaré maps, phase plane portraits, trajectories of journal center, time-history curve, amplitude spectra diagrams of the rotor motion are used. The convert and evolution course of periodical response, quasi-periodical response, double-periodical bifurcation, chaos of the system response is analyzed.(3). It is deduced that the general differential equation of bending-torsional-pendular coupling vibration about rotor with the gyroscopic moment. On the basis of this equation, the general differential equations of coupled bending, torsional and pendular nonlinear vibration about rotor with unbalance character and rubbing character are deduced.

2建立了具有非线性刚度的转子系统在非稳态非线性油膜力作用下的径向碰摩动力学微分方程，并应用含高阶余项的非线性动力方程的线性化数值法研究了此类系统响应的复杂动力学行为，利用转子响应的分岔图、最大Lyapunov指数曲线、Poincaré截面映射、时域波形、相轨线、轴心轨迹、幅值谱等图形分析了系统响应的周期运动、拟周期运动、倍周期分岔、混沌等运动形式的转化与演变过程，重点研究了非线性刚度、转子转速、偏心质量等系统参数对碰摩故障转子系统的分岔和混沌行为的影响。

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。

Based on thefundamental equations of motion of the theory of radial nonhomogeneousspherically isotropic elasticity,and,by introducing three displacementfunctions ψ,G and w,we get a simplifted system of the problem thatincludes an independent second order partial differential equation offunction ψ and a coupled partial differential equation set of functions Gand w.

针对沿径向为非均匀的且考虑温度和体积力影响的球面各向同性弹性体的振动问题，本文从三维基本运动方程出发，引入三个位移函数ψ，G和w，将问题简化为求解一个关于ψ的独立的二阶偏微分方程和一个关于G和w耦合的偏微分方程组。

A bending motion equation of a tilting drive shaft with rigid multi-supports is derived by theorem of the motion of mass center, method of Galerkin and Heaviside function.

根据质心运动定理、Galerkin法和Heaviside函数，求得非惯性系下倾斜刚性多支点传动轴的弯曲运动方程。

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。