A study of the extreme variance of rolling motion in random oblique waves

Article type: Research Article

Authors: Haddara, M.R.

Affiliations: Port-Said Shipyard, Suez – Canal Authority, Egypt

Abstract: The stability and stationary solution of the mean and variance linear differential equations for a ship rolling in random oblique waves are discussed. It is found that unstable motion may exist, under certain conditions, if the sea spectrum is peaked near one of the Mathieu’s equation resonance frequencies. The stationary solution is derived for the stabile case. Order statistics is used to study its extreme value distribution. The solution for the nonlinear problem is also outlined.

DOI: 10.3233/ISP-1976-2326705

Journal: International Shipbuilding Progress, vol. 23, no. 267, pp. 386-390, 1976