On the fractional-order dynamics of a double pendulum with a forcing constraint using the nonsingular fractional derivative approach

• Autorzy: Rangaig Norodin A. , Pido Alvanh Alem G. , Pada-Dulpina Caironesa T.

Identyfikatory

DOI

10.17512/jamcm.2020.2.08

• Języki publikacji: EN

Abstrakty

EN

In this paper, we presented the fractional-order dynamics of a double pendulum, at a small oscillation, with a non-singular derivative kernel. The equation of motion has been derived from the fractional Lagrangian of the system and the considered fractional Euler-Lagrange equation. The generalized force has also been presented in studying the different cases of force, such as horizontal and vertical forcing. The source term is described by the imposed periodic force, and the memory effect gives an additional damping factor described by the fractional order. The integer and fractional orders of the sample phase diagrams were obtained and presented to visualize the effect of the presented fractional order on the system. Also, since the motion of the system dissipates in the fractional regime, the applied force will drive the system out of equilibrium.

Słowa kluczowe

EN

fractional derivative; fractional Lagrangian; fractional Euler-Lagrange equation; double pendulum

PL

pochodna ułamkowa; podwójne wahadło; równanie Eulera-Lagrange'a

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 2
• Strony: 95--106
• Opis fizyczny: Bibliogr. 19 poz., rys.

Twórcy

autor

Rangaig Norodin A.

• Department of Physics, Mindanao State University - Main Campus, 9700 Marawi City, Philippines

autor

Pido Alvanh Alem G.

• Department of Physics, Mindanao State University - Main Campus, 9700 Marawi City, Philippines

autor

Pada-Dulpina Caironesa T.

• Department of Physics, Mindanao State University - Main Campus, 9700 Marawi City, Philippines

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).