• 한국해양공학회지
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• 제6권2호
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• pp.41-45
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• 1992

In this paper an application technique of moment equation method to solution of nonlinear rolling equation of motion of ships is investigated. The exciting moment in the equation of rolling motion of ships is described as non-white noise. This non-white exciting moment is generated through use of a shaping filter. These coupled equations are used to generate moment equations. The nonstationary responses of the nonlinear system are obtained. The results are compared with those of a linear system.

• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 2009년도 추계학술대회
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• pp.239-240
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• 2009

Vessels stability problems need to resolve the nonlinear mathematical models of rolling motion. For nonlinear systems subjected to random excitations, there are very few special cases can obtain the exact solutions. In this paper, the specific differential equations of rolling motion for intact ship considering the restoring and damping moment have researched firstly. Then the partial stochastic linearization method is applied to study the response statistics of nonlinear ship rolling motion in beam seas. The ship rolling nonlinear stochastic differential equation is then solved approximately by keeping the equivalent damping coefficient as a parameter and nonlinear response of the ship is determined in the frequency domain by a linear analysis method finally.

• 한국항해항만학회지
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• 제33권9호
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• pp.629-634
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• 2009

Vessels stability problems need to resolve the nonlinear mathematical models of rolling motion. For nonlinear systems subjected to random excitations, there are very few special cases can obtain the exact solutions. In this paper, the specific differential equations of rolling motion for intact ship considering the restoring and damping moment have researched firstly. Then the partial stochastic linearization method is applied to study the response statistics of nonlinear ship rolling motion in beam seas. The ship rolling nonlinear stochastic differential equation is then solved approximately by keeping the equivalent damping coefficient as a parameter and nonlinear response of the ship is determined in the frequency domain by a linear analysis method finally.

• 대한조선학회논문집
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• 제32권1호
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• pp.37-41
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• 1995

불규칙 해상에서의 선체의 횡동요운동을 해석하기 위하여 통계적 부분선형화 방법을 사용하였다. 선형 1자유도계인 횡동요 운동 모델에 2차의 비선형 감쇠항과 3차 및 5차, 7차, 9차, 11차의 비선형 복원모멘트를 추가하였으며 불규칙 기진모멘트는 가우스 백색잡음으로 가정하였다. 이 해석 결과를 등가선형화 방법으로 구한결과와 비교한 결과 부분선형화 방법이 반드시 더 정확한 결과를 주는 것은 아니란 점을 확인하였다.

• 대한조선학회논문집
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• 제30권4호
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• pp.39-45
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• 1993

불규칙 해상에서의 선체의 횡동요운동을 해석하기 위하여 등가선형화방법을 사용 하였다. 일자 유도 선형 횡동요운동 모델에다가 2차의 비선형 감쇠항과 3차 및 5차의 비선형 복원 모멘트를 추가 하였으며 불규칙 기진 모멘트는 가우스 백색잡음으로 가정 하였다. 등가선형화 방법을 사용하여 예측한 응답의 통계적 특성을Simulation 결과와 비교 하였다.