{"title":"NUMERICAL STUDY OF MOTION OF A SPHERICAL PARTICLE IN A ROTATING PARABOLA USING LAGRANGIAN","authors":"H. Khalilia, R. Jarrar, J. Asad","doi":"10.24874/jsscm.2018.12.01.04","DOIUrl":null,"url":null,"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.","PeriodicalId":42945,"journal":{"name":"Journal of the Serbian Society for Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Serbian Society for Computational Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24874/jsscm.2018.12.01.04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 2
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.
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