Numerical study of coupled oscillator system usingthe classical Euler-Lagrange equations

• Autorzy: Shanak H. , Khalilia H. , Jarrar R. , Asad J.

Identyfikatory

DOI

10.2478/mme-2021-0001

• Języki publikacji: EN

Abstrakty

EN

Problems involving vibrations (mechanical orelectrical) can be reduced to problems of coupled oscil-lators. For this, we consider the motion of coupled oscilla-tors system using Lagrangian method. The Lagrangian ofthe 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 ahomogenous second-order equation. These equations weresolved numerically using the ode45 code, which is basedon Runge-Kutta method.

Słowa kluczowe

EN

Lagrangian; equations of motion; numerical calculation; ode45; Runge-Kutta method

PL

funkcja Lagrange'a; równania ruchu; obliczenia numeryczne; ode45; metoda Rungego-Kutty

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2021
• Tom: Vol. 25, nr 1
• Strony: 1--5
• Opis fizyczny: Bibliogr. 27 poz., 1 rys., wykr.

Twórcy

autor

Shanak H.

• Department of Physics, College of Sciences, P.O. box 7, Palestine Technical University-Kadoorie-Ptuk, Tulkarm 303, Palestine

autor

Khalilia H.

• Department of Applied Computing, College of Sciences, P.O. box 7, Palestine Technical University-Kadoorie-Ptuk, Tulkarm 303, Palestine

autor

Jarrar R.

• Department of Physics, College of Sciences, P.O. box 7, Palestine Technical University-Kadoorie-Ptuk, Tulkarm 303, Palestine

autor

Asad J.

• Department of Physics, College of Sciences, P.O. box 7, Palestine Technical University-Kadoorie-Ptuk, Tulkarm 303, Palestine

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).