• 제목/요약/키워드: Non-linear wave

검색결과 248건 처리시간 0.033초

ON ANALYTICAL SOLUTION OF NON LINEAR ROLL EQUATION OF SHIPS

  • Tata S. Rao;Shoji Kuniaki;Mita Shigeo;Minami Kiyokazu
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2006년도 Asia Navigation Conference
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    • pp.134-143
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    • 2006
  • Out of all types of motions the critical motions leading to capsize is roll. The dynamic amplification in case of roll motion may be large for ships as roll natural frequency generally falls within the frequency range of wave energy spectrum typical used for estimation of motion spectrum. Roll motion is highly non-linear in nature. Den are various representations of non-linear damping and restoring available in literature. In this paper an uncoupled non-linear roll equations with three representation of damping and cubic restoring term is solved using a perturbation technique. Damping moment representations are linear plus quadratic velocity damping, angle dependant damping and linear plus cubic velocity dependant damping. Numerical value of linear damping coefficient is almost same for all types but non-linear damping is different. Linear and non-linear damping coefficients are obtained form free roll decay tests. External rolling moment is assumed as deterministic with sinusoidal form. Maximum roll amplitude of non-linear roll equation with various representations of damping is calculated using analytical procedure and compared with experimental results, which are obtained form forced tests in regular waves by varying frequency with three wave heights. Experiments indicate influence of non-linearity at resonance frequency. Both experiment and analytical results indicates increase in maximum roll amplitude with wave slope at resonance. Analytical results are compared with experiment results which indicate maximum roll amplitude analytically obtained with angle dependent and cubic velocity damping are equal and difference from experiments with these damping are less compared to non-linear equation with quadratic velocity damping.

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A Strength Analysis of a Hull Girder in a Rough Sea

  • Kim, Sa-Soo;Shin, Ku-Kyun;Son, Sung-Wan
    • Selected Papers of The Society of Naval Architects of Korea
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    • 제2권1호
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    • pp.79-105
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    • 1994
  • A ship in waves is suffered from the various wave loads that comes from its motion throughout its life. Because these loads are dynamic, the analysis of a ship structure must be considered as the dynamic problem precisely. In the rationally-based design, the dynamic structural analysis is carried out using dynamic wave loads provided from the results of the ship motion calculation as a rigid body. This method is based on the linear theory assumed low wave height and small amplitude of motion. But at the rough sea condition, high wave height, compared with ship's depth, induce the large ship motion, so the ship section configuration under waterline is rapidly changed at each time. This results in a non-linear problem. Considering above situation in this paper, a strength analysis method is introduced for the hull girder among waves considering non-linear hydrodynamic forces. This paper evaluates the overall or primary level of the ship structural dynamic loading and dynamic response provided from the non-linear wave forces, and bottom flare impact forces by momentum slamming theory. For numerical calculation a ship is idealized as a hollow thin-walled box beam using thin walled beam theory and the finite element method is used. This method applied to a 40,000 ton double hull tanker and attention is paid to the influence of the response of the ship's speed, wave length and wave height compared with the linear strip theory.

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A study on response analysis of submerged floating tunnel with linear and nonlinear cables

  • Yarramsetty, Poorna Chandra Rao;Domala, Vamshikrishna;Poluraju, P.;Sharma, R.
    • Ocean Systems Engineering
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    • 제9권3호
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    • pp.219-240
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    • 2019
  • This paper presents the comparison between SFT response with linear and nonlinear cables. The dynamic response analysis of submerged floating tunnel (SFT) is presented computationally with linear and nonlinear tension legs cables. The analysis is performed computationally for two wave directions one at 90 degrees (perpendicular) to tunnel and other at 45 degrees to the tunnel. The tension legs or cables are assumed as linear and non- linear and the analysis is also performed by assuming one tension leg or cable is failed. The Response Amplitude Operators (RAO's) are computed for first order waves, second order waves for both failure and non-failure case of cables. For first order waves- the SFT response is higher for sway and heave degree of freedom with nonlinear cables as compared with linear cables. For second order waves the SFT response in sway degree of freedom is bit higher response with linear cables as compared with nonlinear cables and the SFT in heave degree of freedom has higher response at low time periods with nonlinear cables as compared with linear cables. For irregular waves the power spectral densities (PSD's) has been computed for sway and heave degrees of freedom, at $45^0$ wave direction PSD's are higher with linear cables as compared with nonlinear cables and at $90^0$ wave direction the PSD's are higher with non-linear cables. The mooring force responses are also computed in y and z directions for linear and nonlinear cables.

파랑 및 지진하중을 받는 스틸자켓의 동적해석 I : 선형 및 비선형 유한요소 정식화 (Dynamic Analysis of Steel Jackets under Wave and Earthquake Loadings I : Linear and Non-linear F. E. Formulation)

  • 김문영;백인열;고진석
    • 한국지진공학회논문집
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    • 제5권5호
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    • pp.1-11
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    • 2001
  • 파랑하중 및 지진하중을 받는 스틸자켓 해양구조물의 기하학적 비선형성을 고려한 정적 및 동적해석을 위한 주처리 및 전/후처리 프로그램을 개발하고 이를 이용한 해석결과를 제시한다. 본 논문에서는 스틸자켓을 기하학적 비선형성을 고려한 공간뼈대구조로 모델링하여, 유체 동하중은 선형파이론과 Stokes 5차이론에 의하여 구해진 파의 속도와 가속도를 이용하여 Morison 방정식에 근거한 파력을 계산한다. JONSWAP 스펙트럼을 이용하여 특정 유효파공의 크기에 따라 불규칙파를 생성하며, 지진하중은 인공지진 가속도 프로그램(SIMQKE)을 이용하여 목표응답스펙트럼에 맞는 다양한 형태의 인공지진 가속도를 이용하여 동적해석법을 제시한다. 선형 동적 해석을 위하여 직접 적분법과 모드 중첩법을 사용하며, 비선형 동적해석시에는 직접 적분법을 적용한다. 또한, 스틸자켓의 극한거동을 추적하기 위하여 뼈대구조의 소성힌지 해석법을 적용한다. 연계논문 에서는 전/후처리 프로그램의 내용을 설명하고 해양환경하중을 받는 스틸자켓의 정적 및 동적해석 결과를 제시한다.

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오프셋 위상변조 방식을 이용한 수중에서의 파라메트릭 음향 무선통신 (Underwater Acoustic wireless Communication using offset PSK)

  • 김갑수;임용곤
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2008년도 추계종합학술대회 B
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    • pp.231-234
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    • 2008
  • 본 논문에서는 음향의 비선형 채널에 적합한 새로운 수중 무선 동신 시스템을 제안하였다. 일반적으로 음향의 비선형 채널에서의 통신은 두 음파의 차의 주파수를 가지는 음파에 대한 파라메트릭 효과를 이용한 통신을 한다. 이러한 동신기법에서는 위상변조를 이용한 통신의 구현은 쉽지 않았다. 본 논문에서 제안된 시스템에서는 위상변조 후 오프셋을 주어 통신하는 비선형 채널에 적합한 통신 방식을 제안하였고 시뮬레이션을 통하여 그 타당성을 입증하였다.

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Nonlinear effect on wave loads of large ships in time domain

  • Kim, Mun-Sung;Park, Jong-Jin;Kim, Byung-Woo;Eom, Jae-Kwang
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제3권1호
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    • pp.95-104
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    • 2011
  • As sea state harsher in the ocean space, more large motion and wave loads occurs on ships hull by non-linear phenomena. To consider nonlinear effect on ships hull in the structural design verification, the direct calculation method with numerical approach is used rather than rule values for the reliable accuracy. In this paper, the non-linear wave loads analysis in time domain is performed by using a Rankine Panel Method together with numerical schemes. Linear calculations have been carried out based on DNV CSA-2 notation to generate the motion responses and wave loads of large ships. By short and long term analysis, the design wave amplitudes are selected for the nonlinear analysis. The maximum wave induced bending moment in hogging and sagging conditions are calculated in the nonlinear analysis. Also, the green water effect on the wave induced vertical bending moment was investigated. The results show the vertical bending moments are more influenced by green water in sagging condition than in hogging condition due to green water loading.

3차원 수치파동수조에서 무반사 조파시스템을 이용한 항주파의 전파재현 (On Propagation of Ship Induced Waves in 3-D Numerical Wave Basin with Non-Reflected Wave Generation System)

  • 이우동;허동수
    • 한국해양공학회지
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    • 제25권6호
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    • pp.23-28
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    • 2011
  • In this paper, a new generation method for ship induced waves is proposed using the fully non-linear 3-D numerical model with non-reflected wave generation system (LES-WASS-3D). A ship induced wave generated by the newly proposed method is examined in comparison with that obtained by an empirical formula. It is then shown that there is a good agreement in free surface the elevation between them. As a result, it is revealed that a ship induced wave in a 3-D numerical wave field can be simulated well using LES-WASS-3D.

2차원 조파수조에서의 파 생성 특성 조사 (Investigation of Characteristics of Waves Generated in Two-Dimensional Wave Channel)

  • 안재열;최정규;김형태
    • 한국해양공학회지
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    • 제27권4호
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    • pp.68-75
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    • 2013
  • This paper investigates the characteristics of waves generated by a flap-type wave maker in a two-dimensional wave channel. Measurements are carried out for various water depths, wave heights, periods, and lengths capacitance-type wave height gages. The experimental results are shown to satisfy the dispersion relation of the linear wave theory. For waves with a small height and long period, the wave profiles agree well with those of the linear wave theory. However, as the wave height and period become higher and shorter, respectively, it is shown that the wave profiles measured in the present experiments are different from the linear wave profiles, and the measured wave heights are smaller than the target wave heights, which may be due to the non-linearity of the waves. As the wave progresses toward the channel end, the wave height gradually decreases. This reduction in the wave height along the wave channel is explained by the wave energy dissipation due to the friction of the side walls of the channel. The performance of the wave absorber in the channel is found to be acceptable from the results of the wave reflection tests.

이완법을 이용한 SWASH 모형의 파랑 조파기법 개선 (Improvement of Wave Generation for SWASH Model Using Relaxation Method)

  • 신충훈;윤성범
    • 한국해안·해양공학회논문집
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    • 제29권4호
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    • pp.169-179
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    • 2017
  • 본 연구에서는 선형 및 비선형파의 안정적이고 정확한 조파를 위해 이완법을 이용한 조파기법을 비정수압 수치모형인 SWASH 모형에 적용하였다. 이완법을 이용한 조파기법을 검증하기 위해 선형파와 비선형파인 경우에 대해 수치실험을 수행하였고 해석해와 비교하였다. 그 결과 Stokes 파 영역으로부터 cnoidal 파 영역에 이르는 모든 경우의 입사파랑이 성공적으로 생성되고 전파되었다. 또한 파고와 파형이 해석해와 잘 일치하는 것을 확인할 수 있었다.

경계요색법(境界要索法)에 의한 투과잠제(透過潛堤)의 해석기법(解析技法) (Permeable Breakwaters Analysis by Using Boundary Element Method)

  • 김남현;淹川淸;최한규
    • 산업기술연구
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    • 제10권
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    • pp.69-72
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    • 1990
  • In this paper the numerical method for the study of wave reflection from and transmission through submerged permeable breakwaters using the boundary element method is developed. The numerical analysis technique is based on the wave pressure function instead of velocity potential because it is difficult to define the velocity potential in the each region arising the energy dissipation. Also, the non-linear energy dissipation within the submerged porous structure is simulated by introducing the linear dissipation coefficient and the tag mass coefficient equivalent to the non-linear energy dissipation. For the validity of this analysis technique, the numerical results obtained by the present boundary element method are compared with those obtained by the other computation method. Good agreements are obtained and so the validity of the present numerical analysis technique is proved.

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