用拉格朗日量数值研究球形粒子在旋转抛物线中的运动

IF 0.5 Q4 ENGINEERING, MULTIDISCIPLINARY Journal of the Serbian Society for Computational Mechanics Pub Date : 2018-10-31 DOI:10.24874/jsscm.2018.12.01.04

H. Khalilia, R. Jarrar, J. Asad

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引用次数: 2

摘要

在本文中，我们用拉格朗日方法研究了球形粒子在旋转抛物线中的运动。作为第一步，我们构造了系统的拉格朗日量，然后我们得到了欧拉-拉格朗日方程（即系统的运动方程）。所得到的运动方程是一个齐次二阶方程。最后，我们使用基于龙格-库塔方法的ode45程序对该方程进行了数值求解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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NUMERICAL STUDY OF MOTION OF A SPHERICAL PARTICLE IN A ROTATING PARABOLA USING LAGRANGIAN

In this paper, we study the motion of a spherical particle in a rotating parabola using the Lagrangian method. As the first step, we construct the Lagrangian of the system, and then we obtain the Euler-Lagrange equations (i.e. equation of motion of the system). The obtained equation of motion is a homogenous second order equation. Finally, we solve this equation numerically using the ode45 code which is based on Runge-Kutta method.

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来源期刊

Journal of the Serbian Society for Computational Mechanics ENGINEERING, MULTIDISCIPLINARY-

CiteScore

0.90

自引率

0.00%

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