Asymptotic solutions of a semi-submerged sphere in a liquid under oscillations

Asymptotic solutions of a semi-submerged sphere in a liquid under oscillations

Автор: Shamima Aktar, M. Abul Kawser

Журнал: International Journal of Mathematical Sciences and Computing @ijmsc

Статья в выпуске: 3 vol.4, 2018 года.

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One of the most widely used techniques to look into transient behaviour of vibrating systems is the Krylov-Bogoliubov-Mitropolskii (KBM) method, which was developed for obtaining the periodic solutions of second order nonlinear differential systems of small nonlinearities. Later on, this method was studied and modified by numerous scholars to obtain solutions of higher order nonlinear systems. This article modified the method to study the solutions of semi-submerged sphere in a liquid which is floating owing to the gravitational force and the upward pressure of the liquid. This paper suggests that the results obtained for different sets of initial conditions by the modified KBM method correspond well with those obtained by the numerical method.

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Asymptotic solution, perturbation solution, oscillatory system, half submerged sphere

Короткий адрес: https://sciup.org/15016674

IDR: 15016674   |   DOI: 10.5815/ijmsc.2018.03.05

Список литературы Asymptotic solutions of a semi-submerged sphere in a liquid under oscillations

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