Open AccessParameter identification for nonlinear damping coefficient from large-amplitude ship roll motion using wavelets
Author(s) -
D. Sathyaseelan,
G. Hariharan,
K. Kannan
Publication year - 2017
Publication title -
beni-seuf university journal of basic and applied sciences /beni-suef university journal of basic and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2314-8543
pISSN - 2314-8535
DOI - 10.1016/j.bjbas.2017.02.003
Subject(s) - wavelet , legendre wavelet , nonlinear system , mathematics , algebraic equation , mathematical analysis , equations of motion , amplitude , moment (physics) , legendre polynomials , control theory (sociology) , computer science , wavelet transform , physics , classical mechanics , discrete wavelet transform , control (management) , quantum mechanics , artificial intelligence
In this paper, we have introduced an efficient Legendre wavelet spectral method (LWSM) to ship roll motion model for investigating the nonlinear damping coefficients. The accuracy of the proposed method is assessed by rolling with an initial amplitude using nonlinear type of equations. To the best of our knowledge until now there is no rigorous wavelet solution has been reported for the above model. Convergence analysis of the proposed method is discussed. The operational matrix of derivative is utilized to convert a ship roll motion equation into a set of algebraic equations. Accurate coefficients can be easily obtained for large rolling angles up to the amplitude at the maximum value of the restoring moment using wavelets. Some numerical examples are given to show the validity and applicability of the proposed wavelet method. Moreover the use of Legendre wavelets is found to be simple,flexible, accurate, efficient and small computation cost