• 제목/요약/키워드: linear wave theory

검색결과 295건 처리시간 0.023초

스펙트럼 요소법을 이용한 판 구조물의 램파 전달 해석 (Analysis of Lamb wave propagation on a plate using the spectral element method)

  • 임기룡;김은진;최광규;박현우
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2008년도 추계학술대회논문집
    • /
    • pp.71-81
    • /
    • 2008
  • This paper proposes a spectral element which can represent dynamic responses in high frequency domain such as Lamb waves on a thin plate. A two layer beam model under 2-D plane strain condition is introduced to simulate high-frequency dynamic responses induced by piezoelectric layer (PZT layer) bonded on a base plate. In the two layer beam model, a PZT layer is assumed to be rigidly bonded on a base beam. Mindlin-Herrmann and Timoshenko beam theories are employed to represent the first symmetric and anti-symmetric Lamb wave modes on a base plate, respectively. The Bernoulli beam theory and 1-D linear piezoelectricity are used to model the electro-mechanical behavior of a PZT layer. The equations of motions of a two layer beam model are derived through Hamilton's principle. The necessary boundary conditions associated with electro mechanical properties of a PZT layer are formulated in the context of dual functions of a PZT layer as an actuator and a sensor. General spectral shape functions of response field and the associated boundary conditions are formulated through equations of motions converted into frequency domain. A detailed spectrum element formulation for composing the dynamic stiffness matrix of a two layer beam model is presented as well. The validity of the proposed spectral element is demonstrated through comparison results with the conventional 2-D FEM and the previously developed spectral elements.

  • PDF

라디에이션 응력의 재평가 (Re-estimation of Radiation Stress)

  • 김경호;조재희;유동훈
    • 한국해안해양공학회지
    • /
    • 제7권4호
    • /
    • pp.305-312
    • /
    • 1995
  • 일반적으로 선형파동이론에 의해 산정된 라디에이션 응력은 쇄파대내 및 부근에서 과대 평가되는데, 이것이 평균수위변동의 계산치와 실험치와의 불일치의 원인이 된. 오(1995)는 Svendsen (1984)이 제안한 라디에이션 응력을 이용하여 평균수위변동을 산정하고 실험치와 비교한 결과, 파형경사가 작은 경우에는 잘 일치하고 있으나 파형경사가 큰 경우에는 실험치와 잘 맞지 않는 것을 보였다. 본 연구에서는 Svendsen(1984)이 제안한 무차원 라디에이션 상수를 수정하여 쇄파점에서의 상대수심 및 심해파 파형경사의 함수로 표현하여 계산하고, 그 결과를 선형이론, Stive(1984)모델, 쇄파의 성분파고 스펙트럼에 기초한 Sawaragi 등(1984)의 모델 및 기왕의 실험 데이터와 비교하였다. 수정, 제안된 Svendsen 모델의 결과는 실험치와 매우 양호한 일치를 보여 주었다.

  • PDF

The Boundary Element Analysis of Wave Force acting on Multiple Cylinders

  • Kim, Nam-Hyeong;Cao, Tan Ngooc Than;Yang, Soon-Bo
    • 한국항해항만학회지
    • /
    • 제36권7호
    • /
    • pp.561-569
    • /
    • 2012
  • In this paper, the boundary element method is applied to solve the diffraction of waves by multiple vertical cylinders under the assumption of linear wave theory. A numerical analysis by boundary element method is based on Green's theorem and introduced to an integral equation for the fluid velocity potential around the cylinders. The numerical results obtained in this study are compared with the experimental data and the results of the theory using multiple scattering techniques. The comparisons show strong agreement. This numerical analysis method developed by using boundary element method could be used broadly for the design of various offshore structures to be constructed in coastal zones in the future.

전파하는 파동유장 중 전진하며 동요하는 2차원 날개의 동력해석 (Powering Analysis of Oscillating Foil Moving in Propagating Wave Flow Field)

  • 최윤락
    • 한국해양공학회지
    • /
    • 제33권3호
    • /
    • pp.229-235
    • /
    • 2019
  • In this study, a two-dimensional oscillating foil with forward speed in a propagating wave flow field was considered. The time-mean power to maintain the heaving and pitching motions of the foil was analyzed using the perturbation theory in an ideal fluid. The power, which was a non-linear quantity of the second-order, was expressed in terms of the quadratic transfer functions related to the mutual product of the heaving and pitching motions and incoming vertical flow. The effects of the pivot point and phase difference among the disturbances were studied. The negative power, which indicates energy extraction from the fluid, is shown as an example calculation.

사석방파제에 의한 파랑변형에 관한 연구 (Wave Transformation of a Rubble-Mound Breakwater)

  • 강인식;곽기석;김도삼;양윤모
    • 한국항만학회지
    • /
    • 제8권2호
    • /
    • pp.57-65
    • /
    • 1994
  • A theoretical formulation is performed to investigate the wave reflection and transmission ratios by a submerged multi-layered rubble-mound breakwater. This theory, which is based on the linear boundary integral method, can be extended to the multi-layered breakwater with arbitrary cross section. In the theoretical analysis evanescent mode wave is not considered, since fictitious open boundaries are put on the places far from the structure. Therefore the mathematical presentation may be simpler, and computational time shorter. The validity of obtained numerical results is demonstrated by comparing with ones of impermeable and permeable breakwaters. Comparison shows resonable agreement. On the basis of these verifications this theory is applied to the one and two-layered submerged rubble-mound breakwater with trapezoidal type.

  • PDF

Lift of and Wave Breaking behind a Moving Submerged Body with Shallow Submergence

  • Lee, Seung-Joon;Kim, Hyoung-Tae
    • Journal of Hydrospace Technology
    • /
    • 제2권1호
    • /
    • pp.1-9
    • /
    • 1996
  • We consider the following two questions mainly in this study. First one is how the free surface hayes affect the lift of a shallowly submerged moving body. For this matte., we reinterpret the theoretical results of Kochin(1936), and point out that the high Froude number approximation is not always on the safer side. Second one is what sort of dimensionless parameters determine the occurrence of wave breaking behind a moving submerged body. Temporarily before getting a better answer, we propose that the two-parameter-plane, namely, the plane of the Froude number and the square root of the ratio of the submerged depth and the body length, may be used for predicting the possibility of wave breaking behind the submerged body. A region in the parameter plane is put forth as that of wave breaking, and the validity of this proposal is shown by its agreement with the existing experimental data of Parkin et al(1955) and those of Duncan(1983). Finally, linear and nonlinear numerical results are compared with the existing experimental data to see in what range of the parameters the linear and nonlinear theory case predict the wave field and the pressure on the body with reasonable accuracy. However, since the experimental data, which offer both the pressure and wave elevation for a submerged moving body, are very scarce, much cannot be attained through this comparative study. Hence, it is strongly recommended to carry out well planned experiments to get such data.

  • PDF

안정성 이론을 이용한 고압 분사 액체 제트의 미립화 모델에 관한 연구 (A Study on an Atomization Model of a High-Pressurized Liquid Jet with a Stability Theory)

  • 김홍석;성낙원
    • 대한기계학회논문집B
    • /
    • 제25권6호
    • /
    • pp.811-818
    • /
    • 2001
  • The wave characteristics for a non-reacting high-speed liquid jet were investigated using a linear stability theory. In this study, 2-D incompressible viscid momentum equation for a liquid jet was considered, and the effects of injection parameters, such as Weber number, Reynolds number, and density ratio, on the wave characteristics were investigated. With the wavelength obtained from the stability analysis, the atomization model was suggested. The droplet sizes after breakup were determined by the wavelengths of fast growing waves, and the mass of the shed droplets was determined by the breakup time derived by ORouke et al. It was found that in comparison with measurements of diesel fuel spray, the results of calculation had a similar trend of the decrease of overall SMD with the increase of Reynolds number.

Study of Wave Load Nonlinearity Effect On Fatigue Life in Component Stochastic Fatigue Analysis

  • Han Sungkon;Park Kyung-Won;Shin Hyun-Il;Heo Joo-Ho
    • Journal of Ship and Ocean Technology
    • /
    • 제9권4호
    • /
    • pp.11-22
    • /
    • 2005
  • This paper addresses details of wave load nonlinearity effect on stress RAO and damage ratio using component stochastic fatigue analysis. Traditional spectral fatigue analysis for ship structure is based on linear theory; however, there are a number of nonlinearity sources. Especially loading nonlinearity, such as hydrodynamic pressure applying to ship side and gravity changes due to roll and pitch motion, is thought to critically violate the linearity assumption of spectral fatigue analysis, which involves stress RAO as linear parameter. The main focus is placed on how to idealize complicated characteristics of loading nonlinearity and how to implement the nonlinear bias to linear spectral fatigue analysis.

비 균일한 공극율을 갖는 투과성 원기둥과 파의 상호작용 (Wave Interaction with a Porous Circular Cylinder of Non-Uniform Porosity)

  • 조일형
    • 한국해양공학회지
    • /
    • 제23권6호
    • /
    • pp.23-31
    • /
    • 2009
  • The interaction of incident monochromatic waves with a bottom-mounted vertical porous circular cylinder is investigated using the framework of the three-dimensional linear potential theory. The porosity of the circular cylinder is uniform vertically but varies in the circumferential direction. By adjusting the porosities of the circular cylinder, both the wave blocking performance of a porous semi-circular breakwater and the wave responses inside a circular harbor with an entrance are applied as calculation examples. It is found that the reflected waves, wave run-up, and wave forces are significantly reduced due to wall porosity, which are positive factors for a breakwater, and the amplification factor of a circular harbor at resonant frequencies is greatly reduced by a porous sidewall.

장주기파에 효율적인 부유식방파제에 대한 연구 I: 사다리꼴과 요철 단면형상에 대하여 (A Study on the Long-Wave Effective Floating Breakwater I: On Trapezoid and Prominence Cross Section)

  • 김도영;안용호
    • 한국해양공학회지
    • /
    • 제15권1호
    • /
    • pp.7-11
    • /
    • 2001
  • In this paper, trapezoid sections and prominence sections were examined to improve the performance of floating breakwater in long waves. The linear potential theory is used and the boundary element method with a matching boundary is employed for numerical computation. The effects of the side slope of the trapezoid section and the geometry ratio of the prominence section on the floating breakwater were examined. It was found that trapezoid sections show lower transmission coefficients than the rectangular sections in the long wave range. In prominence sections the size of the sides are more important than the size of the top. Proper choices of the pontoon type geometry may move the local minimum point of the wave transmission coefficient toward the longer wave ranges and improve the performance of the floating breakwater in the long wave range for a given wave period.

  • PDF