• Title/Summary/Keyword: 동요방정식

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On the Removal of Irregular Frequencies in the Prediction of Ship Motion in Waves (파랑중에서 전진동요하는 선박의 특이파수 억제에 관한 연구)

  • H.Y. Lee;D.J. Yum
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.4
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    • pp.73-81
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    • 1994
  • The source and source/dipole distribution methods using 3-dimensional panel method have been widely used for ship motion analysis. When these methods are used, large errors in the predicted hydrodynamic coefficients are introduced around the irregular frequencies caused by the resonance of imaginary internal flow. Therefore, the irregular frequencies need to be removed for an accurate prediction of ship motion. This paper adopts 3-dimensional translating and oscillating Green function derived by Wu. The adaptive integration method, stretching transform and stationary phase method are used for the calculation of the calculation of Green function and the integral equation is derived by distributing the Green function n ship surface and inner free-surface. The condition of zero normal velocity, that is, wall condition on inner free-surface has been successfully used for the removal of irregular frequencies in oscillating problems. The calculations are carried out for series 60($C_B=0.7$) vessel and the results are compared with those of other theoretical analyses and experiment.

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다물체 요소 이론을 이용한 예인줄 동역학의 모델링 및 시뮬레이션

  • Yun, Hyeon-Gyu;Lee, Hong-Seok;Park, Jong-Gyu;Kim, Yeon-Gyu
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2011.11a
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    • pp.37-39
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    • 2011
  • 예선이 부선을 예인줄로 연결하여 운항할 시 예인줄에 걸리는 장력 및 형상을 예인줄을 다물체로 분할하여 모델링하였다. 이러한 예인줄 요소에 대한 횡동요를 제외한 5자유도 운동방정식을 구성하고, 각 요소들에 작용하는 힘을 정식화하여 연성 운동방정식을 도출하였다. 예인줄 요소들 간에는 예인줄의 재료 특성에 따른 강성을 가진 스프링과 감쇠장치로 연결하여 동력학적 조건을 부가하였고, 요소의 변형을 허용하는 형태로 운동학적 조건은 설정하지 않았다. 예인줄의 다물체 모델링의 검증을 위하여 단순 낙하, 직진, 사인파 형태로 지그재그로 움직이는 예선과 단순 항력체로 가정한 부선의 운동에 대한 시뮬레이션을 수행하였다.

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The Exact Formulation of the Green Integral Equation Applied to the Radiation-Diffraction Problem for a Surface Ship Advancing in Waves (파중 전진하는 선체에 의한 방사파-산란파 문제의 해법에 적용되는 Green 적분방정식의 정확한 도출)

  • 홍도천
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.04a
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    • pp.23-28
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    • 2000
  • The Green integral equation for the calculation of the forward-speed time-harmonic radiation-diffraction potentials IS derived. The forward-speed Green function presented by Brard is used and the correct free surface boundary condition for the Green function is imposed. The cause of the mistakes in the existing Green integral equation is also pointed out.

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Application of Equivalent Nonlinear Method to Nonlinear Rolling Motoion of Ships (등가 비선형화법 적용에 의한 선박의 비선형 횡동요 계산)

  • Kwon, Sun-Hong
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.92-98
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    • 1993
  • 불규칙 해상에서 선박의 큰 횡요각의 예측이 중요한 과제로 대두 되고 있다. 본 논문에서는 추계적 해석에 의한 이의 예측 방법을 제시한다. 즉, 주어진 비선형 횡요 운동 방정식으로 부터 배의 횡요각과 각속도의 확률 밀도 함수를 구하는 방법으로 평균화 법과 등가 비선형화 법을 적용하였고 각종 계수들의 값의 변화에 따른 예측 결과를 다른 논문에서 제시한 simulation 결과와 비교하였다.

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Dynamic Behaviors of an Impact System under Randomly Perturbed Harmonic Excitation by the Path-Integral Solution Procedure (Path-Integral Solution을 이용한 랜덤동요된 조화가진력을 받는 임팩트시스템의 거동분석)

  • 마호성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.1
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    • pp.83-91
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    • 2004
  • Nonlinear system responses of an impact system under randomly perturbed harmonic excitations are predicted in the probability domain by adopting the semi-analytical procedure previously developed. The semi-analytical procedure is obtained by solving the Fokker-Planck equation corresponding to the stochastic differential equation of the given impact system by utilizing the path-integral solution. The evolutionary joint probability density functions are generated by using the method, and the characteristics of nonlinear dynamic response behaviors of the system are examined. Noise effects on the responses are also examined. It Is found that the semi-analytical method can provides the accurate information of the responses via the joint probability functions for the impact system. It is found that the noises weaken and eventually terminate the chaos in the responses, but it is also found that the chaotic signatures reside in the presence of the external noise with relatively high intensity. The joint probability density function shows that the ensemble of the system responses are weakly stationary.

Finite Element Analysis of Sloshing Eigen Behavior in Horizontal Baffled Fuel Tank (수평으로 놓인 배플형 연료탱크의 슬로싱 고유거동에 관한 유한요소 해석)

  • 조진래;하세윤;이홍우;박태학;이우용
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.4
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    • pp.619-628
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    • 2002
  • This paper deals with the FE analysis for the free vibration of sloshing in horizontal cylindrical tank with baffles. We use Laplace equation based on potential theory as governing equation. This problem is solved by FEM using lineal isoparametric elements. We assume that the tank as well as baffles is rigid body and by separating nodes into two at the baffle location, baffle effect is obtained by separating nodes into two at the baffle location. For the calculation of natural frequencies and mode shapes, we introduce Lanczos transformation and Jacobi iteration methods. Numerical results of the first longitudinal and transverse modes, while comparing with literature cited, are very good. In order for the baffle effects on the free vibration of sloshing, various combinations of baffle parameters, which are location, inner diameter and number, are examined.

An Analysis of the Springing Phenomenon of a Ship Advancing in Waves (파랑 중에 전진하는 선박에 대한 스프링잉 현상 해석)

  • H.Y. Lee;H. Shin;H.S. Park;J.H. Park
    • Journal of the Society of Naval Architects of Korea
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    • v.38 no.3
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    • pp.41-46
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    • 2001
  • The very large vessels like VLCC and container ship have been built recently and those vessels have smaller structural strength in comparison with the other convectional skips. As a result the fatigue destruction of upper deck occurs a frequently due to the springing phenomenon at the encountering frequencies. In this study, the hydrodynamic loads are calculated by three-dimensional source distribution method with the translating and pulsating Green function. A ship is longitudinally divided into 23 sections and the added mass, damping and hydrodynamic force of each section is calculated. focusing only on the vertical motion. Stiffness matrix is calculated by the Euler beam theory. The calculation is carried out for Esso Osaka.

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Dynamic Stability of a Damaged Ship in Beam Wind and Waves (손상된 선박의 횡풍.횡파중에서의 동적 안정성)

  • K.H. Sohn;S.G. Lee;K.S. Choi;Y.S. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.1
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    • pp.50-59
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    • 2000
  • This paper presents a brief outline of dynamic stability of a damaged ship at final stage of flooding in rough beam wind and waves. One degree-of-freedom, roll equation is adopted with effects of flooding water and external forces due to wind and waves, but without effect of sloshing. We discuss the dynamic stability of the damaged ship in terms of capsizing probability based on risk analysis, the method of which was firstly proposed by Umeda et al.[6] to high speed craft in intact condition. As a result, we can evaluate the dynamic stability of the damaged ship in probabilistic manner according to sea state, operating condition and damage situation.

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Nonlinear Vortical Forced Oscillation of Floating Bodies (부유체의 대진폭 운동에 기인한 동유체력)

  • 이호영;황종흘
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.2
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    • pp.86-97
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    • 1993
  • A numerical method is developed for the nonlinear motion of two-dimensional wedges and axisymmetric-forced-heaving motion using Semi-Largrangian scheme under assumption of potential flows. In two-dimensional-problem Cauchy's integral theorem is applied to calculate the complex potential and its time derivative along boundary. In three-dimensional-problem Rankine ring sources are used in a Green's theorem boundary integral formulation to salve the field equation. The solution is stepped forward numerically in time by integrating the exact kinematic and dynamic free-surface boundary condition. Numerical computations are made for the entry of a wedge with a constant velocity and for the forced harmonic heaving motion from rest. The problem of the entry of wedge compared with the calculated results of Champan[4] and Kim[11]. By Fourier transform of forces in time domain, added mass coefficient, damping coefficient, second harmonic forces are obtained and compared with Yamashita's experiment[5].

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Theoretical Analysis at One Degree-at-Freedom Model for Rolling at Ships with Focus on Capsize (횡동요에 기인하는 전복에 대한 1-자유도계 모형의 이론해석)

  • Lee, Seung-Joan
    • Journal of the Society of Naval Architects of Korea
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    • v.43 no.1 s.145
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    • pp.22-31
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    • 2006
  • Recent studies have shown that the short time solution of the equation of motion for the rolling of ships is important in deciding the possibility of capsize of ships due to the excessive heel. Since most of known solutions for nonlinear equations of motion are long time or steady periodic solutions, here a simple way is described to get the short time solutions of the Duffing equation, which was chosen for deriving a criterion for the capsize of the ship. With the small external rolling moment, we first assume the state of the small damping and near resonance. Then, for cases when the frequency of the external moment is higher than the resonant one, an inequality was derived as a criterion for the capsize. This gives the range of the initial condition and the magnitude of the external moment which should be avoided for a ship to be safe from capsize. Furthermore, from the linearized equation, it is also shown that a simple and self-explanatory solution can be obtained consistent with that for the case of no damping, which yields the well-known linear growth with time.