Numerical Study of Motion of a Spherical Particle in a Rotating Parabola Using Lagrangian

Khalilia, Hadi; Jarrar, Rabab; Asad, Jihad

doi:10.24874/jsscm.2018.12.01.04

Cited by 3 publications

(2 citation statements)

References 12 publications

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“…In many cases MATLAB has to used to obtain the simulation results. We point here to some recent works carried on, see for example [15,1,3,4,20] and references therein.…”

Section: Introductionmentioning

confidence: 96%

The mechanics of the vibrating triangle system

Asad¹,

Jarrar²,

Khalilia³

2021

MIF

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Vibrating and oscillation systems play an important task in physics and mathematics. In this paper, we investigated the dynamical behavior of an important system called the vibrating triangle (in some literature it is called the planar system). First of all, the Lagrangian equation of the system has been constructed. Secondly, we derived the Euler- Lagrange equations (ELEs). Thirdly, we solve the obtained ELEs numerically using MATLAB for some selected parameters, and for specified initial conditions.

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“…In many cases MATLAB has to used to obtain the simulation results. We point here to some recent works carried on, see for example [15,1,3,4,20] and references therein.…”

Section: Introductionmentioning

confidence: 96%

The mechanics of the vibrating triangle system

Asad¹,

Jarrar²,

Khalilia³

2021

MIF

Self Cite

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“…On the other hand, many ideas have been carried out by applying MATLAB and built-in codes in solving some differential equations. For example in [15][16][17], the authors solved some differential equations describing physical systems by applying Lagrangian mechanics and obtaining the ELEs, which are in general differential equations that need to be solved numerically for certain initial conditions.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of coupled oscillator system using the classical Euler-Lagrange equations

Shanak

Khalilia

Jarrar

et al. 2021

Mechanics and Mechanical Engineering

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Problems involving vibrations (mechanical or electrical) can be reduced to problems of coupled oscillators. For this, we consider the motion of coupled oscillators system using Lagrangian method. The Lagrangian of the system was initially constructed, and then the Euler-Lagrange equations (i.e., equations of motion of the system) have been obtained. The obtained equations of motion are a homogenous second-order equation. These equations were solved numerically using the ode45 code, which is based on Runge-Kutta method.

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