• 제목/요약/키워드: numerical index

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과학교육 연구의 균현성을 위한 모형과 지수 (A Model and an Index for the Balance of Researches in Science Education)

  • 송진웅
    • 한국과학교육학회지
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    • 제15권1호
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    • pp.1-5
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    • 1995
  • One of the problem of science education in terms of its status as a unique discipline is the tendency of qualitative, rather than quantitative, arguments and judgements on research activities. In this study, a model called "Diamond Model" and an index formula for the balance of researches are suggested for achieving more pictoricaI and quantitative understandings on the distribution of researches in science education. Diamond Model is consisted of two dimensions corresponding to two main long-debated issues in science education, i.e. the dimension of cognitive-affective and the dimension of concept-process. In Diamond Model the geometrical symmetry represents the the balance of researches. An index formula for the balance was developed in order to ensure that the value of the index is between 0 to 1 and the numerical values of the index corresponds to the geometrical symmetry of the diamond. Then, in order to check their utility, the model and the index formula were applied to analyze the research papers appeared in JKARSE for the last 10 years.

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Proposing a Method for Robustness Index Evaluation of the Structures Based on the Risk Analysis of Main Shock and Aftershock

  • Abdollahzadeh, Gholamreza;Faghihmaleki, Hadi
    • 국제강구조저널
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    • 제18권5호
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    • pp.1710-1722
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    • 2018
  • Investigating remained damages from terrible earthquakes, it could be concluded that some events including explosion because of defect and failure in the building mechanical facilities or caused by gas leak, firing, aftershocks, etc., which are occurred during or a few time after the earthquake, will increase the effects of damages. In this paper, by introducing a complete risk analysis which included direct and indirect risks for earthquake (the main shock) and aftershock, the corresponding robustness index was created that called as "robustness index sequential critical events risk-based". One of the main properties of the intended robustness index is using progressive collapse percentage in its evaluation. Then, in a numerical example for a 4-storey moment resisting steel frame structure, a method is presented for obtaining all effective parameters in robustness index evaluation based on the intended risk and at last its results were reported.

압축지수의 불확실성이 압밀침하 거동에 미치는 영향에 대한 수치적 평가 (A Numerical Study on the Effects on Consolidation Settlement Behavior due to Uncertainty of Compression Index)

  • 변요셉;김광윤;이창기;천병식
    • 한국지반환경공학회 논문집
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    • 제13권11호
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    • pp.43-50
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    • 2012
  • 본 연구에서는 국내외 적용 중인 압밀지수의 값을 조사하고 조사된 표준편차 범위를 분석하였으며, 편차에 따른 침하량을 계산하였다. 또한 지반에서 내재한 불확실성 변수인 압축지수가 연약지반 처리공법 하에서 미치는 영향을 분석하였다. 수치해석을 통해 프리로딩 공법, 배수촉진 공법, 치환 공법을 적용하여 성토단계별 침하거동을 분석하였고, 추가적으로 장기적인 침하에 안정적인 Piled Raft 공법을 추가로 분석하여 침하거동을 파악하였다. 그 결과, 최종침하량에 따른 평균분석 결과는 해석 값의 평균, 해석값의 최대 최소의 중간값, 평균 압축지수(Cc=0.35)를 사용할 경우에 발생된 침하량이 상이한 것으로 나타났다. 최종침하량에 따른 변동계수의 비교 분석 결과, 각 공법별로 시간에 따라 변동계수의 차이를 보였다. 그 중 Piled Raft 공법이 시간의 경과와 상관없이 일정한 변동계수 값을 보이며, 다른 공법보다 낮은 값으로 불확실성 지반정수의 압축지수에 영향이 가장 적은 것으로 확인되었다.

시간지연 모델의 적용을 통한 수소/공기 확산화염의 음향파 응답 분석 (A Numerical Analysis of Acoustic-Pressure Response of H2-Air Diffusion Flames with Application of Time-Lag Model)

  • 손채훈;임준석
    • 한국추진공학회지
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    • 제16권1호
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    • pp.1-8
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    • 2012
  • 희석된 수소-공기 확산화염의 응향 응답 특성을 저압과 고압 영역에서의 화염 구조 해석을 토대로 수치적으로 조사하였다. 음향 주파수가 증가함에 따라 어느 압력 영역에서든 열방출율의 비선형 축적현상에 의해 유한 화학반응의 효과가 증진된다. 이는 결국 높은 음향 증폭으로 이어지게 된다. 동일한 계산 결과를 압력 감응 시간지연 모델에 의해 재해석하였다. 시간 지연 모델의 적절한 적용을 통해, 각 압력 영역에서 시간지연과 간섭지수 인자가 정량화되었다. 음향 증폭의 정도를 나타내는 간섭지수는 어느 압력 영역에서든 1000 Hz 근처에서 최고값을 나타내었고, 고압영역에서 화염이 더 불안정한 응답을 보였다. 음향 주파수에 따른 간섭지수의 변화 경향은 기존의 증폭지수 변화 경향과 잘 일치하였다.

Evaluating LIMU System Quality with Interval Evidence and Input Uncertainty

  • Xiangyi Zhou;Zhijie Zhou;Xiaoxia Han;Zhichao Ming;Yanshan Bian
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제17권11호
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    • pp.2945-2965
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    • 2023
  • The laser inertial measurement unit is a precision device widely used in rocket navigation system and other equipment, and its quality is directly related to navigation accuracy. In the quality evaluation of laser inertial measurement unit, there is inevitably uncertainty in the index input information. First, the input numerical information is in interval form. Second, the index input grade and the quality evaluation result grade are given according to different national standards. So, it is a key step to transform the interval information input by the index into the data form consistent with the evaluation result grade. In the case of uncertain input, this paper puts forward a method based on probability distribution to solve the problem of asymmetry between the reference grade given by the index and the evaluation result grade when evaluating the quality of laser inertial measurement unit. By mapping the numerical relationship between the designated reference level and the evaluation reference level of the index information under different distributions, the index evidence symmetrical with the evaluation reference level is given. After the uncertain input information is transformed into evidence of interval degree distribution by this method, the information fusion of interval degree distribution evidence is carried out by interval evidential reasoning algorithm, and the evaluation result is obtained by projection covariance matrix adaptive evolution strategy optimization. Taking a five-meter redundant laser inertial measurement unit as an example, the applicability and effectiveness of this method are verified.

Explicit Motion of Dynamic Systems with Position Constraints

  • Eun, Hee-Chang;Yang, Keun-Hyuk;Chung, Heon-Soo
    • Journal of Mechanical Science and Technology
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    • 제17권4호
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    • pp.538-544
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    • 2003
  • Although many methodologies exist for determining the constrained equations of motion, most of these methods depend on numerical approaches such as the Lagrange multiplier's method expressed in differential/algebraic systems. In 1992, Udwadia and Kalaba proposed explicit equations of motion for constrained systems based on Gauss's principle and elementary linear algebra without any multipliers or complicated intermediate processes. The generalized inverse method was the first work to present explicit equations of motion for constrained systems. However, numerical integration results of the equation of motion gradually veer away from the constraint equations with time. Thus, an objective of this study is to provide a numerical integration scheme, which modifies the generalized inverse method to reduce the errors. The modified equations of motion for constrained systems include the position constraints of index 3 systems and their first derivatives with respect to time in addition to their second derivatives with respect to time. The effectiveness of the proposed method is illustrated by numerical examples.

A numerical study on manoeuvrability of wind turbine installation vessel using OpenFOAM

  • Lee, Sungwook;Kim, Booki
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제7권3호
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    • pp.466-477
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    • 2015
  • In this study, a numerical prediction method on manoeuvrability of Wind Turbine Installation Vessel (WTIV) is presented. Planar Motion Mechanism (PMM) captive test for the bare hull of WTIV is carried out in the model basin and compared with the numerical results using RANS simulation based on Open-source Field Operation And Manipulation (OpenFOAM) calculation to validate the developed method. The manoeuvrability of WTIV with skeg and/or without skeg is investigated using the numerical approach along with the captive model test. In the numerical calculations, the dynamic stability index which indicates the course keeping ability is evaluated and compared for three different hull configurations i.e. bare hull and other two hulls with center skeg and twin skeg. This paper proves that the numerical approach using RANS simulation can be readily applied to estimate the manoeuvrability of WTIV at the initial design stage.

Generalized Partially Double-Index Model: Bootstrapping and Distinguishing Values

  • Yoo, Jae Keun
    • Communications for Statistical Applications and Methods
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    • 제22권3호
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    • pp.305-312
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    • 2015
  • We extend a generalized partially linear single-index model and newly define a generalized partially double-index model (GPDIM). The philosophy of sufficient dimension reduction is adopted in GPDIM to estimate unknown coefficient vectors in the model. Subsequently, various combinations of popular sufficient dimension reduction methods are constructed with the best combination among many candidates determined through a bootstrapping procedure that measures distances between subspaces. Distinguishing values are newly defined to match the estimates to the corresponding population coefficient vectors. One of the strengths of the proposed model is that it can investigate the appropriateness of GPDIM over a single-index model. Various numerical studies confirm the proposed approach, and real data application are presented for illustration purposes.

Proposal of a New Process Capability Index Based on Dollar Loss by Defects

  • Park, Seung-Wook
    • International Journal of Quality Innovation
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    • 제9권1호
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    • pp.41-54
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    • 2008
  • The process capability indices have been widely used to measure process capability and performance. In this paper, we proposed a new process capability index which is based on an actual dollar loss by defects. The new index is similar to the Taguchi's loss function and fully incorporates the distribution of quality attribute in a process. The strength of the index is to apply itself to non-normal or asymmetric distributions. Numerical examples were presented to show superiority of the new index against $C_p$, $C_{pk}$, and $C_{pm}$ which are the most widely used process capability indices.