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龙格-库塔方法
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     The characteristics of x2k+1(k=0,1,2,…) oscillators is simulated and visualized using Runge-Kutter method with Matlab,Matlab code and a graphical user interface(GUI) are presented.
     利用Matlab语言和龙格-库塔方法对x2k+1(k=0,1,2,…)型振荡器进行数值模拟并将结果可视化,给出了具体Matlab计算程序和图形用户界面(GUI)。
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     Our methods of implicit symplectic ,(φ~(-1))-symmetric,algebraically-stable and implicit multi-revolution Runge-Kutta(MRRK)methods of high order are,when N→ ∞, the classic methods of symplectic,symmetric,algebraically-stable and implicit Runge-Kutta methods of high order obtained by Hairer and Wanner(1981),Sun (1993),Chan(1990)and so on.
     当N→∞时,我们获得的高阶隐式辛、(φ~(-1)-对称和代数稳定的多旋转龙格-库塔方法就是Hairer和Wanner(1981)、Sun(1993)、Chan(1990)等人所获得的经典的高阶隐式辛、对称和代数稳定的Runge-Kutta方法。
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     Additionally, a mathematical manipulation is adopted to remove the second-order spacial derivatives in the body surface boundary condition, and the body response can be obtained by solving the motion equations with the standard Runge-Kutta method.
     另外,本文对运动物体物面边界条件中的二阶空间导数项进行了处理,采用数学变换推导出一个只有一阶空间导数的表达式。 采用标准四阶龙格-库塔方法求解物体运动方程,得到物体的运动状态。
短句来源
     (2) Sufficient conditions of symplectic,(φ~(-1))-symmetric and algebraically-stable MRRK which are based on the modified W-transformation,are presented.
     (2)基于修改的W-变换我们分别得到了辛、(φ~(-1)-对称和代数稳定的多旋转龙格-库塔方法的充分条件。
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     The control surface motion equation was marched by Runge-Kutta method in time domain.
     通过与气动力方程的联立求解,在时域内用四步龙格-库塔方法求解结构运动方程。
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  相似匹配句对
     Structure Program Composition Method of Runge-Kutta
     龙格库塔法结构程序设计方法
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     PARALLEL THIRD-ORDER RUNGE-KUTTA METHODS ON MIMD COMPUTERS
     MIMD型计算机上的一族并行龙格库塔方法
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     Flexible Cloth Simulation Based on Self-Adaptive Runge-Kutta Method
     基于自适应龙格-库塔方法的柔性织物仿真
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     METHODS112 patients with LN wen;
     方法
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     Method
     方法
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  method of curve fitting
The dissociation energy is estimated to be 7.70±0.19 eV by the method of curve fitting using the five parameter Hulburt-Hirschfelder's function.
      
The ground-state dissociation energies evaluated by the method of curve fitting using the H-H function agree well with the values reported earlier.
      
Regression lines were estimated with use of the least-squares method of curve fitting.
      


Point Kinectic modle is commonly used to deal with the nuclear reactor dynamic problems.The improvedRunge-Kutta method gives high accuracy in solving the nentron dynamic equation,however,it should selecttime step to be quite short.The calculation method presented in this article allows to select time step to belonger.Thus,this method will save the calculation time under condition of meeting the accuracy.Thismethod is applicable not only to the rod ejection accident,but also to some processes with the real timerequirement....

Point Kinectic modle is commonly used to deal with the nuclear reactor dynamic problems.The improvedRunge-Kutta method gives high accuracy in solving the nentron dynamic equation,however,it should selecttime step to be quite short.The calculation method presented in this article allows to select time step to belonger.Thus,this method will save the calculation time under condition of meeting the accuracy.Thismethod is applicable not only to the rod ejection accident,but also to some processes with the real timerequirement.

点堆模型已被广泛用来处理反应堆动态问题。用修正龙格-库塔方法求解中子动力学方程时,准确度高,但时间步长要选择得相当小。本文提出的计算方法,允许选用较大的时间步长,在满足一定精度的条件下,节省了计算时间。这种方法,既适用于弹棒事故计算,又适用于有实时要求的某些过程计算。

In this paper, we discussed the lateral motion of a container along the rope guides. The motion of a container compressed two parts: the oscillation of the center of mass and the rotational vibration round that center of mass.For this dynamic system, the differential equations are established, and determined the numerical solutions by Rung-Kutta method,Analysed these solutions find that ( 1 ) The amplitude of the oscillation of container is proportional to the lateral force given by hoist rope, and it is also...

In this paper, we discussed the lateral motion of a container along the rope guides. The motion of a container compressed two parts: the oscillation of the center of mass and the rotational vibration round that center of mass.For this dynamic system, the differential equations are established, and determined the numerical solutions by Rung-Kutta method,Analysed these solutions find that ( 1 ) The amplitude of the oscillation of container is proportional to the lateral force given by hoist rope, and it is also proportional to the length of rope guides, but is inversely proportional to the weight. (2) If the length of container is kept constant, increasing the distance between two ears of cage, then the shaking of container will decreases. But, if the length of container and the distance between two ears of cage are increasing similarly, the shaking of container can not decreases.

本文研究了钢绳罐道上提升容器的横向运动,它包括容器质心的横向摆动和绕质心的转动。建立了此系统的动力学微分方程组,并用龙格——库塔方法求得了运动的数值解。通过对数值解的分析说明:(1)容器的摆动量与提升钢绳的横向力,以及罐道长度成正比,与重锤的重量成正比。(2)在容器长度确定的条件下,增大上下罐耳之间的距离可使容器的晃动减小。但是,如果容器长度与罐耳间的距离同步地增加,将不能达到使晃动减小的目的。

The deployment rule of the single extendible exit cone is investigated in this paper. The cone is divided into four pieces in the direction of meridian. As a result, the actuators are just located in the middle of each piece. Each piece of the cone can thus be simplified into a moving mechanism. Based on the force balance between the mechanisms, a second ordes ordinary differential equation is derived by applying the mass center movement theorem. The numerical solutionof the equation can be obtained by means...

The deployment rule of the single extendible exit cone is investigated in this paper. The cone is divided into four pieces in the direction of meridian. As a result, the actuators are just located in the middle of each piece. Each piece of the cone can thus be simplified into a moving mechanism. Based on the force balance between the mechanisms, a second ordes ordinary differential equation is derived by applying the mass center movement theorem. The numerical solutionof the equation can be obtained by means of the fourth order Runge-Kutte method. The time-dependent parameters, such as position, velocity and accelerationof the external sleeve of the actuator relative to the internal tube, and the time needed for fully deploying the cone can then be obtained by using other related equations.

本文对单级附性作动筒套筒式延伸锥,应用质心运动定理建立平衡关系,得到一个二阶常微分方程,然后应用四阶龙格-库塔方法得到相应时间作动筒外筒相对内筒的位置、速度和加速度,相应时间延伸锥的位置、速度和加速度,及延伸锥完全展开所需时间的数值解。

 
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