• 제목/요약/키워드: Dirac delta function

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집중방향의 영향을 고려한 회전 외팔보의 진동해석 (Vibration Analysis of Rotating Cantilever Beams Considering Concentrated Mass Effect)

  • 유홍희
    • 대한기계학회논문집A
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    • 제20권8호
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    • pp.2516-2523
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    • 1996
  • The equations of motion for rotating contilever beams with a concentrated mass loated in an arbitrary position are derived. For the modeling of the concentrated mass the Dirac delta function is used for the mass density function. Parametric studies are performed with five dimensionless variables ; natural frequencies, angular velocity, hub radius, concentrated mass, and the mass location. The concentrated mass, whereverit may locate, lowers the natural frequencies of a stationaly beam. However, when the beam rotates, the natural frequencies(if they increase or decrease) are dictated by the location of the concentrated mass.

이상 유동에서의 유체-구조 연성해석을 위한 Direct Forcing/Ficititious Domain-Level Set Method (Direct forcing/fictitious domain-Level set method for two-phase flow-structure interaction)

  • 전충호;윤현식;정재환
    • 한국해양공학회지
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    • 제25권4호
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    • pp.36-41
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    • 2011
  • In the present paper, a direct forcing/fictitious domain (DF/FD) level set method is proposed to simulate the FSI (fluid-solid interaction) in two-phase flow. The main idea is to combine the direct-forcing/fictitious domain (DF/FD) method with the level set method in the Cartesian coordinates. The DF/FD method is a non-Lagrange-multiplier version of a distributed Lagrange multiplier/fictitious domain (DLM/FD) method. This method does not sacrifice the accuracy and robustness by employing a discrete ${\delta}$ (Dirac delta) function to transfer quantities between the Eulerian nodes and Lagrangian points explicitly as the immersed boundary method. The advantages of this approach are the simple concept, easy implementation, and utilization of the original governing equation without modification. Simulations of various water-entry problems have been conducted to validate the capability and accuracy of the present method in solving the FSI in two-phase flow. Consequently, the present results are found to be in good agreement with those of previous studies.

보강재를 갖는 회전 평판 구조물의 동역학적 모델링 및 진동해석 (Dynamic Modeling and Vibration Analysis of Rotating Plate Structures with Stiffeners)

  • 허성철;유홍희
    • 소음진동
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    • 제10권2호
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    • pp.312-318
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    • 2000
  • A modeling method for the vibration analysis of rotating cantilever plastes with stiffeners is presented. The equations of motion for the plates aer derived and trnasformed into a dimensionless form. A mass density Dirac's delta function is used to idealize the stiffener mathematically. The effects of stiffeners on the model characteristics of the plate are investigated, and mode shape variations due to some parameter variation are exhibited. It is found that veering phenomena occur between some loci and associated mode shapes change significantly during the veering phenomena.

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집중 질량을 가진 회전하는 외팔 평판의 진동 해석 (Vibration Analysis of Rotating Cantilever Plates with a Concentrated Mass)

  • 양정식;유홍희
    • 소음진동
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    • 제8권6호
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    • pp.1130-1136
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    • 1998
  • A modelling method for the vibration analysis of rotating cantilever plates with a concentrated mass is presented. The equations of motion for the rotating plates with a concentrated mass located in an arbitrary position are derived and transformed into a dimensionless form. For the mathematical modelling of the concentrated mass. a mass density Dirac delta function is used. The effects of concentrated mass and its location. angular speed. plate aspect ratio. and hub radius of the rotating plate on the natural frequencies are studied. Particularly. mode shape variations due to some parameter variations are investigated.

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HSPF-Paddy Development for Simulating Pollutant Loadings from Paddy Fields

  • Jeon, Ji-Hong;Yoon, Chun G.;Jung, Kwang-Wook;Jang, Jae-Ho
    • 한국농공학회논문집
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    • 제47권7호
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    • pp.57-66
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    • 2005
  • The Hydrological Simulation Program - FORTRAN (HSPF) was modified to simulate nonpoint pollutant loadings from paddy fields using a field experimental data collected during 2001-2002. The concept of a 'dike height' was added in a modified HSPF code, named HSPF-Paddy, to consider the function of retaining water by a weir at the field outlet. The effect of fertilization on the variances of nutrients on the soil surface and shallow soil layer was described mathematically with a Dirac delta function (or first-order kinetics). As confirmed through model verification, the HSPF-Paddy modifications were shown to represent the function of retaining water, varied ponded water, and surface runoff by forced drain during both rainy and non-rainy seasons and reasonably predicted the water balance and nutrients behavior in paddy fields. It is a distributed watershed model which, with the paddy modifications, can now simulate nonpoint pollutant loadings where paddy fields are dominant, and it can be used to evaluate the effects of paddy fields on the water quality at a basin scale, and assess the impacts of proposed BMPs applied to paddy fields.

논에서의 비점오염부하 예측을 위한 엑셀기반의 PADDIMOD2 개발 (Development of Excel Based PADDIMOD2 for Estimating Nonpoint Source Pollutant Loadings from Paddy Rice Fields)

  • 전지홍
    • 한국농공학회논문집
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    • 제53권4호
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    • pp.11-19
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    • 2011
  • PADDIMOD2 was deloped to estimate nonpoint source pollution from paddy rice fields. The PADDIMOD2 was enhanced to estimate runoff and pollutant load during non-growing as well as growing season and to be easily used for public by development of Excel based system. Nutrient concentration and hydrology were based on Dirac delta function and continuous source function, and tank model for growing season and Event Mean Concentrations (EMCs) and SCS-Curve Number method for non-growing season. The PADDIMOD2 consists of three main component (input data, parameters data, and output data) by including eight Excel spread sheets. As a result of model application, total precipitation and irrigation were 1,051.7 mm and 439.2 mm, respectivley and surface runoff and water loss including infiltration and evapotranspiration were 463.0 mm and 947.9 mm, respectively. Annual nutrient loadings of T-N and T-P from study area were 6.7 kg/$km^2$/day and 0.5 kg/$km^2$/day, respectively. Development of PADDIMOD2 was focused on minimizing input data and maximizing user friendly system and is expected to be useful tool to evaluate various non-structure BMPs and estimate unit load from paddy rice fields for application at Korean TMDL.

블라인드 등화에서 유클리드 거리 최소화에 근거한 새로운 CMA 알고리듬 (A New Constant Modulus Algorithm based on Minimum Euclidian Distance Criterion for Blind Channel Equalization)

  • 김남용
    • 인터넷정보학회논문지
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    • 제10권6호
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    • pp.19-26
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    • 2009
  • 이 논문에서는 오차 확률 밀도와 델타 함수 사이의 유클리드 거리를 최소화하는 기준을 소개하고 이 기준에 근거한 새로운 CMA 형태의 블라인드 등화 알고리듬을 제안하고 있다. 제안한 기준에 나타나는 오차 항 대신에 constant modulus error를 대치하여 블라인드 알고리듬을 완성하였고 이 알고리듬은 블라인드 등화 환경에서 탁월한 수렴성능과 정상상태의 자승평균오차 성능 특성을 보였으며, 오차 신호 값이 0 값에 보다 집중된 밀도함수 형태를 나타냈다. 시뮬레이션 결과로부터, 이 제안된 방식은 멀티 포인트 통신에서 블라인드 등화를 위한 신뢰성 있는 알고리듬으로 사용될 수 있음을 보이고 있다.

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확률진폭 스위치에 의한 양자게이트의 함수 임베딩과 투사측정 (Function Embedding and Projective Measurement of Quantum Gate by Probability Amplitude Switch)

  • 박동영
    • 한국전자통신학회논문지
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    • 제12권6호
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    • pp.1027-1034
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    • 2017
  • 본 논문은 양자게이트의 모든 제어 동작점에서 양자들의 확률진폭, 확률, 평균 기댓값 및 정상상태 단위행렬의 행렬요소 등을 수학적 투사로 측정할 수 있는 새로운 함수 임베딩 방법을 제안하였다. 본 논문의 함수 임베딩 방법은 디랙 기호와 크로네커델타 기호를 사용해 각 제어 동작점에 대한 확률진폭의 직교 정규화조건을 2진 스칼라 연산자에 임베딩 한 것이다. 이와 같은 함수 임베딩 방법은 양자게이트 함수를 단일양자들의 텐서 곱으로 표현하는 유니터리 변환에서 유니터리 게이트의 산술 멱함수 제어에 매우 효과적 수단임을 밝혔다. Ternary 2-qutrit cNOT 게이트에 본 논문이 제안한 함수 임베딩 방법을 적용했을 때의 진화연산과 투사측정 결과를 제시하고, 기존의 방법들과 비교 검토하였다.

Critical earthquake input energy to connected building structures using impulse input

  • Fukumoto, Yoshiyuki;Takewaki, Izuru
    • Earthquakes and Structures
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    • 제9권6호
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    • pp.1133-1152
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    • 2015
  • A frequency-domain method is developed for evaluating the earthquake input energy to two building structures connected by viscous dampers. It is shown that the earthquake input energies to respective building structures and viscous connecting dampers can be defined as works done by the boundary forces between the subsystems on their corresponding displacements. It is demonstrated that the proposed energy transfer function is very useful for clear understanding of dependence of energy consumption ratios in respective buildings and connecting viscous dampers on their properties. It can be shown that the area of the energy transfer function for the total system is constant regardless of natural period and damping ratio because the constant Fourier amplitude of the input acceleration, relating directly the area of the energy transfer function to the input energy, indicates the Dirac delta function and only an initial velocity (kinetic energy) is given in this case. Owing to the constant area property of the energy transfer functions, the total input energy to the overall system including both buildings and connecting viscous dampers is approximately constant regardless of the quantity of connecting viscous dampers. This property leads to an advantageous feature that, if the energy consumption in the connecting viscous dampers increases, the input energies to the buildings can be reduced drastically. For the worst case analysis, critical excitation problems with respect to the impulse interval for double impulse (simplification of pulse-type impulsive ground motion) and multiple impulses (simplification of long-duration ground motion) are considered and their solutions are provided.

가상경계법을 적용한 2차원 미생물 이동에 관한 수치연구 (NUMERICAL SIMULATION OF TWO-DIMENSIONAL MICROORGANISM LOCOMOTION USING THE IMMERSED BOUNDARY METHOD)

  • 란지트;서용권;강상모
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.164-169
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    • 2009
  • Study on swimming of microorganisms like, sperm motility, cilia beating, bacterial flagellar propulsion has found immense significance in the field of biological fluiddynamics. Because of the complexity involved, it is challenging for the researchers to model such problems. Immersed boundary method has proved its efficacy in the field of biological fluiddynamics, The present work aims at performing a numerical study on the microorganism locomotion using the immersed boundary method proposed by Peskin[1]. A two-dimensional model of the microorganism is modeled as thin elastic filament described as a sine wave. The neutrally buoyant organism undergoing deformations is immersed in a viscous and incompressible fluid. The fluid quantities are described using Eulerian coordinates and the immersed body is represented by Lagrangian coordinates. The Eulerian and Lagrangian variables are connected by the Dirac delta function. The Navier-Stokes equations governing the fluid flow are solved using the fractional step method on a staggered Cartesian grid system. The developed numerical code in FORTRAN will be validated by comparing the numerical results with the available results.

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