• 제목/요약/키워드: 조화함수모형

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Range of DVR parameters for the Calculation of Vibrational Energy of Anharmonic Oscillators (비조화 진동자 진동에너지 계산에 적합한 DVR 계산 변수 결정)

  • Jeon, Kiyoung;Yang, Mino
    • Journal of the Korean Chemical Society
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    • v.60 no.3
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    • pp.163-168
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    • 2016
  • We summarize the discrete variable representation method which is a simple numerical method enabling us to calculate the vibrational energies and wave functions of anharmonic oscillators. The ranges of its parameters well-performing for the calculation of fundamental and overtone transition energies are predicted by analyzing the model of Morse oscillator.

Analysis of Tidal Flow Using the Frequency Domain Finite Element Method (I) (유한요소법을 이용한 해수유동 해석 (I))

  • 권순국;고덕구;조국광;김준현
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.33 no.4
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    • pp.73-83
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    • 1991
  • A numerical simulation of a 2-dimensional tidal flow in a shallow sea was performed using the frequency domain finite element method. In this study, to overcome the inherent problems of a time domain model which requires high eddy viscosity and small time steps to insure numerical stability, the harmonic function incorporated with the linearized function of governing equations was applied. Calculations were carried out using the developed tidal model(TIDE) in a rectangular channel of lOm(depth) X 4km (width) X 25km(length) under the condition of tidal waves entering the channel closed at one end for both with and without bottom friction damping. The predicted velocities and water levels at different points of the channel were in close agreement with less than 1 % error between the numerical and analytical solutions. The results showed that the characteristics of the tidal flow were greatly affected by the magnitude of tidal elevation forcing, and not by on surface friction, wind, or the linear bottom friction when the value was less than 0.01. For the optimum size of grid to obtain a consistent solution, the ratio between the length of the maximum grid and the tidal wave length should be less than 0.0018. It was concluded that the finite element tidal model(TIDE) developed in this study could handle the numerical simulation of tidal flows for more complex geometrical conditions.

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Development and Application of System States for the Preemptive Goal Programming (우선순위 목적 프로그래밍을 위한 저수지운영율 개발 및 적용)

  • Cheong, Tae-Sung;Kang, Shin-Uk;Hwang, Man-Ha;Ko, Ick-Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.2049-2053
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    • 2007
  • KModSim은 수자원배분에 관련된 물리적, 수문학적, 제도적, 그리고 행정적인 요구들을 동시에 만족하도록 디자인된 범용 우선순위 목적 선형최적화 모형으로써 자연유3tt입량과 기득 수리권 혹은 기득 저류권 등과 같은 다양한 형태의 저수권 사이의 조화운영이 가능하다. KModSim은 목적함수에 관련된 제약조건의 유연한 설정과 변경이 가능하며, 기존의 최적화 방법과 다르게 유역통합모의에 관련한 모형변수가 모형내에서 자동적으로 생성되도록 프로그램화 되어있다. 본 연구에서는 금강유역내 수자원의 효율적인 운영을 위하여 과거운영자료를 토대로 저수지운영율을 개발하고 시스템단계(system states)를 이용하여 KModSim 네트워크에 운영율을 적용하였다. 금강유역에서 개발한 운영율을 적용하고 모의한 결과 개발된 운영율은 실제저류량을 잘 재현하는 것으로 나타났다. 본 연구에서 개발된 운영율 및 시스템단계 방법은 다중목적 우선순위 선형최적화 모형을 이용하여 유역의 다양한 수자원운영모의에 사용될 수 있을 것으로 기대된다.

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Modeling of Walking Loads for Floor Vibration Analysis (바닥판 진동해석을 위한 보행하중의 모형화)

  • 김기철;최균호;이동근
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.1
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    • pp.173-188
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    • 2002
  • In General, the measured loads and load-time function suggested by Bachmann iota walking are used for vibration analysis of structures subjected to footstep loads. It is not easy to measure walking loads because they we influenced by various parameters. Therefore, it is needed to model the walking loads that can be applied to structure analysis. Parameter study is used for the walking loads having various walking frequency for vibration analysis of structures under walking loads. In this study, walking loads were measured directly by using a force plate within two load cells, and the parameters of the walking loads were analyzed. The measured walking loads are decomposed into harmonic loads by using the Fouler series. Functional relationship between the walking frequency and the Fourier coefficients can be derived from the coefficients of harmonic loads obtained by the decomposition process, and the walking loads were formulated. It is possible to apply the venerated walking loads easily or conveniently by the proposed equation to the analysis of a structure subjected to walking loads.

Development and Validation of Backrouting Method for Preemptive Goal Linear Programmingver Basin (우선순위 목적 선형 프로그래밍을 위한 Backrouting 방법의 개발 및 적용성 검토)

  • Cheong, Tae-Sung;Kang, Sin-Uk;Hwang, Man-Ha;Ko, Ick-Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.393-397
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    • 2007
  • KModSim은 수자원배분에 관련된 물리적, 수문학적, 제도적, 그리고 행정적인 요구들을 동시에 만족하도록 디자인된 범용 우선순위 목적 선형최적화 모형으로써 자연유입량과 기득 수리권 혹은 기득 저류권 등과 같은 다양한 형태의 저수권 사이의 조화운영이 가능하다. KModSim 목적함수에 관련된 제약조건의 유연한 설정과 변경이 가능하며, 기존의 최적화 방법과 다르게 유역통합모의에 관련한 모형변수가 모형내에서 자동적으로 생성되도록 프로그램화 되어있다. 본 연구에서는 유역내 수자원의 효율적인 운영을 위하여 우선순위 목적 선형최적화 모형을 위한 Backrouting 방법을 개발하고 금강유역 일단위 KModSim 네트워크에 Backrouting 방법을 적용하여 적용성을 검토하였다. 금강유역에 KModSim을 적용하고 모의한 결과 Backrouting 방법을 사용한 모의결과가 Backrouting 방법을 사용하지 않은 경우에 비해 실측치를 보다 잘 재현하는 것으로 나타났다. 본 연구에서 개발된 Backrouting 방법은 다중목적 우선순위 선형최적화 모형을 이용하여 일단위 모의 시에 발생할 수 있는 과도한 손실을 방지하고자 할 때 적용할 수 있을 것으로 기대된다.

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A simple statistical model for determining the admission or discharge of dyspnea patients (호흡곤란 환자의 입퇴원 결정을 위한 간편 통계모형)

  • Park, Cheol-Yong;Kim, Tae-Yoon;Kwon, O-Jin;Park, Hyoung-Seob
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.2
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    • pp.279-289
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    • 2010
  • In this study, we propose a simple statistical model for determining the admission or discharge of 668 patients with a chief complaint of dyspnea. For this, we use 11 explanatory variables which are chosen to be important by clinical experts among 55 variables. As a modification process, we determine the discharge interval of each variable by the kernel density functions of the admitted and discharged patients. We then choose the optimal model for determining the discharge of patients based on the number of explanatory variables belonging to the corresponding discharge intervals. Since the numbers of the admitted and discharged patients are not balanced, we use, as the criteria for selecting the optimal model, the arithmetic mean of sensitivity and specificity and the harmonic mean of sensitivity and precision. The selected optimal model predicts the discharge if 7 or more explanatory variables belong to the corresponding discharge intervals.

Analysis of Tidal Flow using the Frequency Domain Finite Element Method (II) (有限要素法을 이용한 海水流動解析 (II))

  • Kwun, Soon-Kuk;Koh, Deuk-Koo;Cho, Kuk-Kwang;Kim, Joon-Hyun
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.34 no.2
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    • pp.73-84
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    • 1992
  • The TIDE, finite element model for the simulation of tidal flow in shallow sea was tested for its applicability at the Saemangeum area. Several pre and post processors were developed to facilitate handling of the complicated and large amount of input and output data for the model developed. Also an operation scheme to run the model and the processors were established. As a result of calibration test using the observed data collected at 9 points within the region, linearlized friction coefficients were adjusted to be ranged 0.0027~0.0072, and water depths below the mean sea level at every nodes were changed to be increased generally by 1 meter. Comparisons of tidal velocities between the observed and the simulated for the 5 stations were made and obtained the result that the average relative error between simulated and observed tidal velocities was 11% for the maximum velocities and 22% for the minimum, and the absolute errors were less than 0.2m/sec. Also it was found that the average R.M.S. error between the velocities of observed and simulated was 0.119 m/sec and the average correlation coefficient was 0.70 showing close agreement. Another comparison test was done to show the result that R.M.S. error between the simulated and the observed tidal elevations at the 4 stations was 0.476m in average and the correlation coefficients were ranged 0.96~0.99. Though the simulated tidal circulation pattern in the region was well agreed with the observed, the simulated tidal velocities and elevations for specific points showed some errors with the observed. It was thought that the errors mainly due to the characteristics of TIDE Model which was developed to solve only with the linearized scheme. Finally it was concluded that, to improve the simulation results by the model, a new attempt to develop a fully nonlinear model as well as further calibration and the more reasonable generation of finite element grid would be needed.

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Develpment of Analysis and Evaluation Model for a bus Transit Route Network Design (버스 노선망 설계를 위한 평가모형 개발)

  • Han, Jong-Hak;Lee, Seung-Jae;Kim, Jong-Hyeong
    • Journal of Korean Society of Transportation
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    • v.23 no.2
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    • pp.161-172
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    • 2005
  • This study is to develop Bus Transit Route Analysis and Evaluation Model that can product the quantitative performance measures for Bus Transit Route Network Design. So far, in Korea, there are no so many models that evaluate a variety of other performance measures or service quality that are of concern to both the transit users and operator because of lower-level bus database system and transit route network analysis algorithm's limit. The BTRAEM in this research differ from the previous approach in that the BTRAEM employs a multiple path transit trip assignment model that explicitly considers the transfer and different travel time after boarding. And we develop input-output data structure and quantitative performance measure for the BTRAEM. In the numerical experimental applying BTRAEM to Mandl transit network, We got the meaningful results on performance measure of bus transit route network. In the future, we expect BTRAEM to give a good solution in real transit network.

Numerical Analysis of Nonlinear Shoaling Characteristics over Surf Zone Using SPH and Lagrangian Dynamic Smagronsky Model (Lagrangian Dynamic Smagronsky 난류모형과 SPH를 이용한 쇄파역에서의 비선형 천수거동에 관한 연구)

  • Cho, Yong-Jun;Lee, Heon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.1
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    • pp.81-96
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    • 2007
  • Nonlinear shoaling characteristics over surf zone are numerically investigated based on spatially averaged NavierStokes equation. We also test the validity of gradient model for turbulent stresses due to wave breaking using the data acquainted during SUPERTANK LABORATORY DATA COLLECTION PROJECT(Krauss et al., 1992). It turns out that the characteristics length scale of breaking induced current is not negligible, which firmly stands against ever popular gradient model, ${\kappa}-{\varepsilon}$ model, but favors Large Eddy Simulation with finer grid. Based on these observations, we model the residual stress of spatially averaged NavierStokes equation after Lagrangian Dynamic Smagorinsky(Meneveau et al., 1996). We numerically integrate newly proposed wave equations using SPH with Gaussian kernel function. Severely deformed water surface profile, free falling water particle, queuing splash after landing of water particle on the free surface and wave finger due to structured vortex on rear side of wave crest(Narayanaswamy and Dalrymple, 2002) are successfully duplicated in the numerical simulation of wave propagation over uniform slope beach, which so far have been regarded very difficult features to mimic in the computational fluid mechanics.

Higher-order Shear Deformable Analysis of Laminated Plates on Two-parameter Elastic Foundations (Two-parameter 탄성지반위에 놓인 고차전단변형 적층판의 해석)

  • Han, Sung-Cheon;Jang, Suk-Yoon
    • Journal of Korean Society of Steel Construction
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    • v.13 no.1
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    • pp.101-113
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    • 2001
  • The main purpose of this paper is to present deflections of laminated composite plates on the two-parameter foundations. that is an elastic foundation with shear layer. This paper focuses on the deformation behaviour of anisotropic structures on elastic foundations. The third-order shear deformation theory is applied by using the double-fourier series. To validate the derived equations the obtained displacements for simply supported isotropic and orthotropic plates on elastic foundations are compared with those of Timoshenko and LUSAS program. The results show an excellent agreement for the isotropic and LUSAS program. The results show an excellent agreement for the isotropic and orthotropic plates on the elastic foundations. Numerical results for displacements are presented to show the effects of side-to-thickness ratio aspect ratio, material anisotropy and shear modulus of foundations.

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