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| Title: | Numerical study of motion of a spherical particle in a rotating parabola using Lagrangian |
| Authors: | Khalilia, Hadi Jarrar, Rabab Asad, Jihad |
| Keywords: | Lagrangian, Equations of Motion, Numerical Calculation, Runge-Kutta, ode45 |
| Issue Date: | 2018 |
| Publisher: | The Serbian Society for Computational Mechanics (SSCM) |
| Series/Report no.: | Journal of the Serbian Society for Computational Mechanics;Vol. 12 , (1) |
| Abstract: | 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. |
| URI: | https://scholar.ptuk.edu.ps/handle/123456789/596 |
| ISSN: | 18206530 |
| Appears in Collections: | Applied science faculty |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Abstract.docx | 10.18 kB | Microsoft Word XML | View/Open |
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