The mechanics of the vibrating triangle system

Authors

  • J. Asad Palestine Technical University - Kadoorie, Tulkarm, Palestine
  • R. Jarrar Palestine Technical University - Kadoorie, Tulkarm, Palestine
  • H. Khalilia Palestine Technical University - Kadoorie, Tulkarm, Palestine
  • S. Mallak Palestine Technical University - Kadoorie, Tulkarm, Palestine
  • H. Shanak Palestine Technical University - Kadoorie, Tulkarm, Palestine

DOI:

https://doi.org/10.31926/but.mif.2021.1.63.1.3

Keywords:

vibrating triangle, Lagrange equation, Euler-Lagrange equa- tions, numerical solution

Abstract

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.

Author Biographies

J. Asad, Palestine Technical University - Kadoorie, Tulkarm, Palestine

Dept. of Physics, Faculty of Applied Sciences, P. O Box 7

R. Jarrar, Palestine Technical University - Kadoorie, Tulkarm, Palestine

Dept. of Physics, Faculty of Applied Sciences, P.O Box 7

H. Khalilia, Palestine Technical University - Kadoorie, Tulkarm, Palestine

Dept. of Applied Computing, Faculty of Applied Sciences, P. O Box 7

S. Mallak, Palestine Technical University - Kadoorie, Tulkarm, Palestine

Dept. of Mathematics, Faculty of Applied Sciences, P. O Box 7

H. Shanak, Palestine Technical University - Kadoorie, Tulkarm, Palestine

Dept. of Physics, Faculty of Applied Sciences, P. O Box 7

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Published

2021-07-08

Issue

Vol. 1(63) No. 1 (2021)

Section

MATHEMATICS