查询词典 motion equation

The gas flow is determined by local average Navier-Stokes equation, the motion of individual particle is obtained by solving Newton's second law of motion, particles collisions are taken into account.

气相流动通过求解局部平均Navier-Stokes方程获得，通过求解牛顿第二定律得到颗粒的运动，同时考虑颗粒之间的碰撞。

Chapter 7. Make use of the unified field equation studied intrinsic magnetic field for planets, got that the magnetic induction equation is satisfied with the motion of planetary inside matter.

第七章 利用统一场方程研究了行星的固有磁场，也得到了行星内部物质运动所应满足的磁感应方程。

In this paper difference equation of motion fr om one point to another point on the earth is derived from the geodesic equation on the earth and spherical trigonometry formulas. Some difference track formul as of a maneuvering object are also given.

以大地椭球三角形模型为基础，利用地球表面二点间最短路径的大地线方程和球面三角形的有关公式，建立了由地球表面一点运动到另一点的差分运动方程，同时也给出了在进行航向机动时的差分运动轨迹。

In this paper differ ce equation of motion fr om one point to another point on the earth is derived from the geodesic equation on the earth and spherical trigonometry formulas. Some difference track formul as of a maneuvering object are also given.

以大地 椭球三角形模型为基础，利用地球表面二点间最短路径的大地线方程和球面三角形的有关公式，建立了由地球表面一点运动到另一点的差分运动方程，同时也给出了在进行航向机动时的差分运动轨迹。

In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

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 muscle is simulated by elastic foundation and put into the wall of managing having a viscid condition and the motion of fluid by the linear momentum equation and the continuity equation, and therefore, the governing equations are derived.

由肌肉弹性假设为弹簧来描述管壁运动，也加入了管壁具有黏滞性的条件，而且配合流体的线动量方程以及连续条件，推导出统御方程式。

The solution of zero order is taken into the first order approximate of equation of motion. Then we make the equation linearization to get the solution of first order. So is way to obtain the solution of second order.

均匀、恒定解作为0阶解代入1阶近似运动方程，使之线性化，求出1阶近似解，同理将1阶解代入2阶近似运动方程，使其线性化，求出2阶近似解。

In this paper,the condition that gas flow through wood in the pattern of linear flux wasdetermined from the theories of thermodynamics and fluid mechanics.The expression of flow-resistor of tracheids is reduced with the continuity equation and the equation of motion indifferential form.The flow-resistor network is constructed by means of the theory ofpercolation.The equivalent flow-resistor was evaluated by utilizing the real spacerenormalization approach.

本文根据针叶材管胞的解剖结构，运用孔隙介质流体力学的理论，导出了管胞关于气体渗透流阻的数学表达式；继而根据管胞纹孔在三个纹理方向上的连接特性，利用管胞流阻建立了一个描述针叶材三个纹理方向气体渗透性的三维流阻网络；然后运用实空间重整化变换的方法，求解试件流阻网络三个纹理方向的等效流阻，并由此计算试件相应的气体渗透系数；最后用我国南方常见的人工林马尾松木材试件进行渗透系数实际测量，与理论计算结果进行对比分析，以验证三维流阻网络及其理论的准确性。

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。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。