• 제목/요약/키워드: wave equation analysis

검색결과 586건 처리시간 0.03초

Study on PIV-Based Pressure Estimation Method of Wave Loading under a Fixed Deck

  • Lee, Gang Nam;Duong, Tien Trung;Jung, Kwang Hyo;Suh, Sung Bu;Lee, Jae Yong
    • 한국해양공학회지
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    • 제34권6호
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    • pp.419-427
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    • 2020
  • In this study, a particle image velocimetry (PIV)-based pressure estimation method was investigated, with application to the wave-in-deck loading phenomenon. An experimental study was performed in a two-dimensional wave tank using a fixed deck structure under a focused wave, obtaining local pressures by pressure sensors, global loads by load cells, and instantaneous velocity fields using the PIV measurement technique. The PIV-based pressure estimation method was applied using the Euler equation as the governing equation, and the proper time step for the wave impact pressure was studied using the normalized root-mean-square deviation. The pressure estimation method showed good agreement for the local impact pressure in comparison with the measured pressure by the pressure sensors. However, some differences were observed in the peak pressure due to the limitations of the Euler equation and the sampling rate of the measurement system. Using the estimation method, the pressure fields during wave-in-deck loading were determined in the study, with an analysis of the mechanism of impact and negative pressure occurrence.

맥스웰-슈뢰딩거 방정식을 이용한 다이폴 안테나 해석 (Analysis of a Dipole Antenna Using Maxwell-SCHRÖDINGER Equation)

  • 김진영;정재영;정영배;정창원
    • 한국산학기술학회논문지
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    • 제15권5호
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    • pp.3107-3113
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    • 2014
  • 본 논문은 양자역학 관점으로 본 다이폴 안테나의 정량적 분석과 그것의 특성에 관한 논문이다. 분석 방법으로 현존하는 안테나 전파 방정식에 이용되는 맥스웰 방정식을 사용한다. 이는 안테나의 길이와 주파수에 관한 함수로, 방사저항, 입력 리액턴스, 안테나 효율을 포함한다. 본 논문의 주요 관심사는 슈뢰딩거 방정식이다. 또한 본 논문은 맥스웰과 슈뢰딩거 방정식을 결합하여 다이폴 안테나의 전계와 자계를 해석한다. 현존하는 맥스웰 방정식과 슈뢰딩거 방정식을 비교함으로써, 단일 맥스웰 방정식을 썼을 때 보다 양자-전기 이동의 정확성이 향상됨을 보인다.

유한한 평판에서 포물선형 및 쌍곡선형 열전도 방정식과 파동 방정식의 비교 해석 (Comparative Analysis of the Parabolic and Hyperbolic Heat Conduction and the Damped Wave in a Finite Medium)

  • 박상규;이용호
    • 동력기계공학회지
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    • 제3권3호
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    • pp.14-21
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    • 1999
  • The wave nature of heat conduction has been developed in situations involving extreme thermal gradients, very short times, or temperatures near absolute zero. Under the excitation of a periodic surface heating in a finite medium, the hyperbolic and parabolic heat conduction equations and the damped wave equations in heat flux are presented for comparative analysis by using the Green's function with the integral transform technique. The Kummer transformation is also utilized to accelerate the rate of convergence of these solutions. On the other hand, the temperature distributions are obtained through integration of the energy conservation law with respect to time. For hyperbolic heat conduction, the heat flux distribution does not exist throughout all the region in a finite medium within the range of very short times(${\xi}<{\eta}_l$). It is shown that due to the thermal relaxation time, the hyperbolic heat conduction equation has thermal wave characteristics as the damped wave equation has wave nature.

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An application of wave equation analysis program to pile dynamic formulae

  • Tokhi, H.;Ren, G.;Li, J.
    • Geomechanics and Engineering
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    • 제9권3호
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    • pp.345-360
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    • 2015
  • Wave equation analysis programs (WEAP) such as GRLWEAP and TNOWave were primarily developed for pre-driving analysis. They can also be used for post-driving measurement applications with some refinements. In the case of pre-driving analysis, the programs are used for the purpose of selecting the right equipment for a given ground condition and controlling stresses during pile driving processes. Recently, the program is increasingly used for the post-driving measurement application, where an assessment based on a variety of input parameters such as hammer, driving system and dynamic behaviour of soil is carried out. The process of this type of analysis is quite simple and it is performed by matching accurately known parameters, such as from CAPWAP analysis, to the parameters used in GRLWEAP analysis. The parameters that are refined in the typical analysis are pile stresses, hammer energy, capacity, damping and quakes. Matching of these known quantities by adjusting hammer, cushion and soil parameters in the wave equation program results in blow counts or sets and stresses for other hammer energies and capacities and cushion configuration. The result of this analysis is output on a Bearing Graph that establishes a relationship between ultimate capacity and net set per blow. A further application of this refinement method can be applied to the assessment of dynamic formulae, which are extensively used in pile capacity calculation during pile driving process. In this paper, WEAP analysis is carried out to establish the relationship between the ultimate capacities and sets using the various parameters and using this relationship to recalibrate the dynamic formula. The results of this analysis presented show that some of the shortcoming of the dynamic formula can be overcome and the results can be improved by the introduction of a correction factor.

COLLOCATION METHOD USING QUARTIC B-SPLINE FOR NUMERICAL SOLUTION OF THE MODIFIED EQUAL WIDTH WAVE EQUATION

  • Islam, Siraj-Ul;Haq, Fazal-I;Tirmizi, Ikram A.
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.611-624
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    • 2010
  • A Numerical scheme based on collocation method using quartic B-spline functions is designed for the numerical solution of one-dimensional modified equal width wave (MEW) wave equation. Using Von-Neumann approach the scheme is shown to be unconditionally stable. Performance of the method is validated through test problems including single wave, interaction of two waves and use of Maxwellian initial condition. Using error norms $L_2$ and $L_{\infty}$ and conservative properties of mass, momentum and energy, accuracy and efficiency of the suggested method is established through comparison with the existing numerical techniques.

CFD/CAA Hybrid 기법을 이용한 뒷전에서 음향파의 산란모사 (Simulation of Trailing Edge Scattering Using Linearized Euler Equations with Source terms)

  • 박용환;빈종훈;정철웅;이수갑
    • 한국항공우주학회지
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    • 제33권7호
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    • pp.18-25
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    • 2005
  • 본 연구에서는 뒷전, 전단류와 초기교란의 상호작용에 의한 불안정파의 생성 기제의 분석과 뒷전 산란현상을 고차의 전산공력음향학을 이용하여 모사하였다. 수치적 알고리즘은 Hybrid 기법에 기초하였으며, Simple Linearized Euler Equation과 Full Linearized Euler Equation의 결과를 비교를 통해 정상류 구배항이 불안정파의 생성에 중요한 역할을 함을 볼 수 있었다. 또한 Full Navier-Stokes Equation을 이용한 결과와 비교함으로써, Full Linearized Euler Equation은 뒷전의 초기 근접장에서 불안정파를 해석하는데 있어서 Full Navier-Stokes Equation 보다 효율적임을 알 수 있다.

타입말뚝의 동적거동 분석 (Analysis of Dynamic Behavior of Pile Driving)

  • 조천환;이명환
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2002년도 기초기술위원회 워크샵
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    • pp.27-52
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    • 2002
  • Pile driving formula, wave equation analysis of pile driving(WEAP) and dynamic pile loading test have been known to useful tools to appraise the behaviour of pile driving. This paper reviews basic theories of three methods and gives some suggestions to apply them to practice. And also some cases on application of the methods to the sites are discussed in this paper. It appears that it is inevitable for engineers to be experienced well so that the methods can be regarded as useful tools.

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Nonlinear Displacement Discontinuity Model for Generalized Rayleigh Wave in Contact Interface

  • Kim, No-Hyu;Yang, Seung-Yong
    • 비파괴검사학회지
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    • 제27권6호
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    • pp.582-590
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    • 2007
  • Imperfectly jointed interface serves as mechanical waveguide for elastic waves and gives rise to two distinct kinds of guided wave propagating along the interface. Contact acoustic nonlinearity (CAN) is known to plays major role in the generation of these interface waves called generalized Rayleigh waves in non-welded interface. Closed crack is modeled as non-welded interface that has nonlinear discontinuity condition in displacement across its boundary. Mathematical analysis of boundary conditions and wave equation is conducted to investigate the dispersive characteristics of the interface waves. Existence of the generalized Rayleigh wave(interface wave) in nonlinear contact interface is verified in theory where the dispersion equation for the interface wave is formulated and analyzed. It reveals that the interface waves have two distinct modes and that the phase velocity of anti-symmetric wave mode is highly dependent on contact conditions represented by linear and nonlinear dimensionless specific stiffness.

지반주기를 고려한 다층지반의 평균전단파속도 추정 방법 평가 (Evaluation of Average Shear-wave Velocity Estimation Methods of Multi-layered Strata Considering Site Period)

  • 김동관
    • 한국지진공학회논문집
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    • 제23권3호
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    • pp.191-199
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    • 2019
  • To calculate proper seismic design load and seismic design category, the exact site class for construction site is required. At present, the average shear-wave velocity for multi-layer soil deposits is calculated by the sum of shear-wave velocities without considering of vertical relationship of the strata. In this study, the transfer function for the multi-layered soil deposits was reviewed on the basis of the wave propagation theory. Also, the transfer function was accurately verified by the finite element model and the eigenvalue analysis. Three methods for site period estimation were evaluated. The sum of shear-wave velocities underestimated the average shear-wave velocities of 526 strata with large deviations. The equation of Mexican code overestimated the average shear-wave velocities. The equation of Japanese code well estimated the average shear-wave velocities with small deviation.

Multiple light diffraction theory in volume gratings using perturbative integral expansion method

  • Jin, Sang-Kyu
    • Journal of the Optical Society of Korea
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    • 제1권2호
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    • pp.67-73
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    • 1997
  • Light wave diffraction from multiple superposed volume gratings is inestigated using a perturbative iteration method of the integral equation of Maxwell's wave equation. The host material and index gratings are anisotropic and non-coplanar multiple volume gratings are considered. In this method, the paraxial approximation and lack of backward scattering in conventional coupled mode theory are not assumed. Systematic analysis of anisotropic wave diffraction due to multiple noncoplanar volume index gratings is performed in increasing level of diffraction orders corresponding to successive iterations.