LARHYSS Journal
Volume 19, Numéro 4, Pages 101-116
2022-12-07
Authors : S Rekha . D Gowthaman . P Balaganesan . B Achour .
Two nonlinear models of the roll motion of ships are discussed and analytically solved. Both models are second-order differential equations with nonlinear restoring and damping moments. A new approach to the homotopy perturbation method is applied to derive analytical expressions for the roll angle, velocity, acceleration and restoring and damping moments. The analytical results are validated by direct comparison with the fourth-order Runge‒Kutta method. The analytical approach of this paper can be efficiently extended to various vibrating dynamical models arising in mechanical systems.
Mathematical modeling ; ship dynamics ; capsizing ; restoring and damping moments ; analytical solution
Lanane Massika
.
pages 553-562.
Palanivelu Balaganesan
.
Bachir Achour
.
pages 211-221.
Zeoual Somia
.
Kebabi Brahim
.
Bougherara Hassina
.
pages 44-49.
Rasheed Mohammed
.
Jabber Ahmed
.
Sarhan Mohammed
.
Saidani Tarek
.
Al-darraji Mustafa
.
pages 17-24.
Chaouchi Belkacem
.
pages 030-050.