On the parametric excitation of nonlinear rolling motion in random seas

Article type: Research Article

Authors: Haddara, M.R.

Affiliations: Suez Canal University, Port Said, Egypt

Abstract: The nonlinear equation of rolling motion in random oblique seas is analysed considering parametric excitation caused by transverse stability variation in realistic seaway. Use of Bogoliubov-Mitropolsky’s method of slowly varying parameters together with Stratanovich-Khasminsky’s stochastic averaging is made to obtain an equation describing the variance of the amplitude of rolling motion as a function of time. The condition for stable motion is then derived. Furthermore, stationary variance is expressed in a closed form.

DOI: 10.3233/ISP-1980-2731502

Journal: International Shipbuilding Progress, vol. 27, no. 315, pp. 290-293, 1980