Mean-square non-local stability of ship in storm conditions of operation

• Autorzy: Nekrasov Valeriy

Identyfikatory

DOI

10.2478/pomr-2019-0061

• Języki publikacji: EN

Abstrakty

EN

The purpose of the paper is to create a method for studying nonlocal stability in the mean and in the mean square of the ship, positioned on the beam of an intensive wind–waves mode, which is based on the use of the correlation theory of random functions close to continuous Markov processes. With the help of this method and the integral formula of event probability, a method for determining the reliability indicator of the ship in respect of the existing wind–waves excitations of the operating area is formed. An example of investigating the nonlinear motion of the ship, determining its local and nonlocal stability in the first approximation of the theory of considered random functions, is given. Such approximation uses correlation theory with models of acting excitations represented by the generalised derivatives of the Wiener process. Moreover, special attention is paid to reflecting the connection of the proposed methods for investigating the ship stability under constantly acting random excitations with the traditional methods of studying ship stability at small and large inclinations. The established connection defines the proposed methods as a development of the traditional methods of ship stability deterministic theory during the transition to its formation in the class of random functions, with the addition to these methods of the missing link of determining the level of reliability of ships towards the acting wind–waves excitations of the operation area.

Słowa kluczowe

EN

wind-waves mode; local and nonlocal stability; nonlocal stability in mean; nonlocal stability in mean square; reliability indicator

• Wydawca: Gdańsk University of Technology, Faculty of Ocean Engineering & Ship Technology
• Czasopismo: Polish Maritime Research
• Rocznik: 2019
• Tom: nr 4
• Strony: 6--15
• Opis fizyczny: Bibliogr. 9 poz., rys., tab.

Twórcy

autor

Nekrasov Valeriy

• Admiral Makarov National University of Shipbuilding, Heroiv Ukraine av., 9, 54025 Mykolaiv, Ukraine

Bibliografia

• 1. Himmelblau D. M. (1972): Applied nonlinear programming. McGraw Hill, New York.
• 2. Khasminsky R. Z. (1969): Stability of systems of differentia equations under random perturbations of their parameters. Fizmatgiz, Moscow.
• 3. Krasovsky N. N. (1959): Some problems of the theory of stability of motion. Fizmatgiz, Moscow.
• 4. Lyapunov A. M. (1950): The general problem of motion stability. GITTL, Moscow, Leningrad.
• 5. Nekrasov V. A. (1978): Probabilistic problems of ships seakeeping. Shipbuilding, Leningrad.
• 6. Nekrasov V. A. (1985): Seakeeping and technical stability of the ship. Hydrodynamics of the ship. Collection of NSI scientific papers. Nikolayev Shipbuilding Institute, Nikolayev.
• 7. Nekrasov V. A. (1985): Criteria of seakeeping and reliability indicators for the use of the ship and its technical means in given area of operation. Hydrodynamics of the ship. Collection of NSI scientific papers. Nikolayev Shipbuilding Institute, Nikolayev.
• 8. Nekrasov V. A. (2013): Nonlocal stability of mobile marine objects. MAST 2013, Gdansk, Poland.
• 9. Stratonovich R. L. (1961): Selected issues of the theory of fluctuations in radio techniques. Soviet Radio, Moscow.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).