• Title/Summary/Keyword: Theoretical method

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Theoretical approach for uncertainty quantification in probabilistic safety assessment using sum of lognormal random variables

  • Song, Gyun Seob;Kim, Man Cheol
    • Nuclear Engineering and Technology
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    • v.54 no.6
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    • pp.2084-2093
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    • 2022
  • Probabilistic safety assessment is widely used to quantify the risks of nuclear power plants and their uncertainties. When the lognormal distribution describes the uncertainties of basic events, the uncertainty of the top event in a fault tree is approximated with the sum of lognormal random variables after minimal cutsets are obtained, and rare-event approximation is applied. As handling complicated analytic expressions for the sum of lognormal random variables is challenging, several approximation methods, especially Monte Carlo simulation, are widely used in practice for uncertainty analysis. In this study, a theoretical approach for analyzing the sum of lognormal random variables using an efficient numerical integration method is proposed for uncertainty analysis in probability safety assessments. The change of variables from correlated random variables with a complicated region of integration to independent random variables with a unit hypercube region of integration is applied to obtain an efficient numerical integration. The theoretical advantages of the proposed method over other approximation methods are shown through a benchmark problem. The proposed method provides an accurate and efficient approach to calculate the uncertainty of the top event in probabilistic safety assessment when the uncertainties of basic events are described with lognormal random variables.

A CLASSIFICATION OF THE SECOND ORDER PROJECTION METHODS TO SOLVE THE NAVIER-STOKES EQUATIONS

  • Pyo, Jae-Hong
    • Korean Journal of Mathematics
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    • v.22 no.4
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    • pp.645-658
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    • 2014
  • Many projection methods have been progressively constructed to find more accurate and efficient solution of the Navier-Stokes equations. In this paper, we consider most recently constructed projection methods: the pressure correction method, the gauge method, the consistent splitting method, the Gauge-Uzawa method, and the stabilized Gauge-Uzawa method. Each method has different background and theoretical proof. We prove equivalentness of the pressure correction method and the stabilized Gauge-Uzawa method. Also we will obtain that the Gauge-Uzawa method is equivalent to the gauge method and the consistent splitting method. We gather theoretical results of them and conclude that the results are also valid on other equivalent methods.

A Study on the Comparison of Triangular and Quadrilateral Elements for the Analysis of 3 Dimensional Plate Structures (3차원 판구조물 해석을 위한 삼각형요소와 사각형 요소의 비교에 관한 연구)

  • 왕지석;김유해;이우수
    • Journal of Advanced Marine Engineering and Technology
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    • v.26 no.3
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    • pp.344-352
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    • 2002
  • In the analysis of the 3 dimensional plate structures by the finite element method, the triangular elements are generally used for the global stiffness matrix of the analyzed system. But the triangular elements of the plates have some problems in the process of formulation and in the precision of analysis. The formulation of the finite element method to analyze 3 dimensional plate structures using quadrilateral elements is presented in this paper. The degree of freedom off nodal point is 6, that is, the displacements in the direction off-y-z is and the rotations about x-y-z axis and then the degree of freedom off element is 24. For the comparison of the analysis using triangular elements and quadrilateral elements, the rectangular plates subjected to the uniform load and a concentrated load on the centroid of the plate, for which the theoretical solutions have been obtained, are analyzed. The calculated deflections of the rectangular plates using the finite element method by the triangular elements and the quadrilateral elements are also compared with the deflections of the plates calculated by theoretical solutions. The defections of the rectangular plates calculated by the finite element method using the quadrilateral elements are closer to the theoretical solutions than the defections calculated by the finite element method using the triangular elements. The deflection of the centroid of plate, calculated by the finite element method, converges to that of theoretical solution as the number of elements is increased. This convergence is much more rapid for the case of using the quakrilateral elements than fir the case of using triangular elements.

Analysis and Evaluation of a Nursing Research Paper on Secondary Prevention Program for Stroke (일 뇌졸중 이차예방프로그램 논문의 분석 및 평가)

  • Seo, Eun Hui;Park, Seon-Il
    • Journal of Korean Academy of Rural Health Nursing
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    • v.5 no.1
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    • pp.16-24
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    • 2010
  • Nursing theory is used to explain the goals and functions of nursing and improve practical affairs by providing information and knowledge about the principles which become the foundation of nursing practical affairs. Theoretical analytical compliance with C-T-E (Conceptual-Theoretical-Empirical) structures by Fawcett (1999) whose evaluation method illustrates the relationship of conceptual models, theory, research and structure. The evaluation allows the nurse to visualize the connection, evaluate research, and reduce errors in research. Consequently present doctorate dissertations in nursing science are theoretical propriety, connection in the structure of concepts, theory, research methods, and evaluation to reduce errors in future research plans and division of theoretical development process. So the following verifies logicality, propriety, and reliability which must apply to research in various different fields.

Theoretical Analysis of Levers in a Precision Stage for Large Displacement (정밀 스테이지에서 출력변위 확대를 위한 레버의 해석)

  • 황은주;민경석;송신형;최우천
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.720-723
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    • 2004
  • Lever mechanisms are usually employed to enlarge output displacement in precision stages. In this study, theoretical analysis of a lever is presented including bending effect and relation between dimension parameters and an objective function. The objective function is chosen as multiplication of magnification ratio and forcedisplacement transmission. Through theoretical analysis, this study presents optimal values for the parameters and the analysis is verified by finite element method.

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A Theoretical Model of Hope Enhancing the Cancer Patients just after Surgery: Realistic Hope (수술 직후 암 환자의 희망증진 간호를 위한 이론 모델 개발 : 현실적 희망)

  • Kim, Dal Sook;Park, In Sook
    • Korean Journal of Adult Nursing
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    • v.18 no.1
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    • pp.115-124
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    • 2006
  • Purpose: The purpose of this study was to propose a theoretical model of hope commonly held by the cancer patients just after surgery, under the assumptions that hope of those patients is not only realistic and disease oriented but in dialectical circulation. Method: A theoretical model was generated through 4 steps: exploring a hope structure by synthesizing the relevant hope structures expressed in Kim and Tae's studies, in-depth literature review, examining the meanings of the concepts consisted of the structure in use and their causal relations in logical adequacy, proposing a theoretical structure through synthesizing the causal relations, and diagramming the structure. Results: The proposed theoretical model involves concepts such as Cancer Related Uncertainty (CRU), Efforts to Find out the Possibility of Cure or Recovery (EFPCR), and Hopefulness or Hopelessness. The 'EFPCR' is stipulated as 'Behaviors Related to Looking for Evidences or Cues (BRLEC)' and 'Formation of Cognitive Schema (FCS)'. In the model, Hopefulness is directly influenced by 'CRU in low', which is affected by 'FCS in good' from the result of EFPCR started with 'CRU in increase' while 'CRU with increase' from the result from EFPCR has direct effect on Hopelessness. Conclusion: The theoretical model would be used to enhancing hope of the cancer patients in post-operation.

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연약지반 장기침하량 예측기법의 적용성 연구

  • 장병욱;우철웅;이경호
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 1998.10a
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    • pp.425-430
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    • 1998
  • The theory of consolidation has been achieved remarkable development, but associated properties are very difficult to determine in the laboratory. The theoretical shortcomings of those consolidation theories and uncertainties of associated properties make inevitably some discrepancy between theoretical and field settlements. Field settlement measurement by settlement plate is, therefore, widely used to overcome the discrepancy. Among the various methods of ultimate settlement predictions using field settlement data, hyperbolic method and Asaoka's method are most commonly used because of their simplicity and ability to give a reasonable estimate of consolidation settlement. In this paper, the applicability of hyperbolic method and Asaoka's method has been estimated by the analysis of the laboratory consolidation test and field measured data. It is shown that both hyperbolic method and Asaoka's method are significantly affected by the direction of drainage, and Asaoka's method is better to reflect the properties of the soft foundation than hyperbolic method.

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A Study on the Theoretical Calculation of Screw Propeller Open-Water Characteristics (프로펠러 특성의 이론적 산정법에 관한 연구)

  • 송강섭
    • Journal of the Korean Institute of Navigation
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    • v.14 no.3
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    • pp.15-33
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    • 1990
  • In recent years, propellers with various blade configurations such as highly skewed propellers are often fitted to ships from the viewpoint of reduction of vibration and noise. In the design of such propellers, design charts based on methodical series tests are to be complemented by theoretical calculations for accurate estimation of propeller open-water characteristics. The author intended to develop a method to estimate propeller open-water characteristics based on Quasi -Vortex - Lattice Method originally developed by Lan for solving planar thin wings, The Quasi - Vortex - Lattice Method has the simplicity and flexibility of Vortex - Lattice Method. Its accuracy is comparable to that of the Vortex - Lattice Method. Converged solution can be obtained with a small number of control points and further, leading edge suction force can be calculated directly. In the present paper, a numerical method to estimate propeller open-water characteristics based on the Quasi - Vortex - Lattice Method is reviewed and its application to marine propellers is described in detail. Comparison of propeller open-water characteristics obtained by the present method with experimental data showed good agreement for a wide variety of propellers including highly skewed propellers.

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Research Trends Concerning Environmental Psychology in the Journal of the Korean Institute of Landscape Architecture (한국조경학회지 게재논문 환경심리분야의 연구경향)

  • 이영경
    • Journal of the Korean Institute of Landscape Architecture
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    • v.32 no.1
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    • pp.157-169
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    • 2004
  • This study aims to review the research trends concerning environmental psychology. The scope of review is limited to the papers that dealt with theoretical and case-directed investigation research about the relationship between socio-physical environments and human beings. The relationship has been investigated by diverse human reactions such as cognitive, emotional, analytical, behavioral, and comprehensive. 219 papers were reviewed in two steps. In the first step, the ratio of the papers in the field of environmental psychology to the total papers published in the Journal from 1973 to 2004 was analyzed. Second, all the 219 papers were classified by such three criteria as the type of the paper(theoretical, review, case investigation), the methodology taken, and the main theme of the paper. The main findings from the review are summarized as follows; 1. Out of the 219 papers, the number of the theoretical papers was 4 (1.8%), whereas the number of the case investigation papers was 185 (84.5%). 2. Out of the 30 review papers, the main methodology used was simple introduction (15 papers, 50%) and the main theme was research methodology (36%), whereas analytic comparison was used only in 10 papers (33%) and theory review was only found in 6 papers (20%). 3. Out of the 185 case investigation papers, experimental method was found in 34 papers (18%), whereas 99 papers used correlational method (54%). Based on the findings, it was suggested that both theoretical and case-directed research should be performed in order to enhance the state of art in environmental psychology. Theoretical research as a framework to understand the empirical findings are as important as the case-investigation research peformed by scientific experimental method.

The Effect of Structural Factors on the Torsional Rigidity of Yarns

  • Park, Jung Whan
    • Fashion & Textile Research Journal
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    • v.2 no.5
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    • pp.437-442
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    • 2000
  • In this paper, in order to examine the torsional behaviour of twisted yarn closely, the torsional rigidity would be derived in terms of physical and mechanical characteristics of its constituent fibers and yarn structural parameters by energy-method. And the propriety of the theory will be discussed by comparing with experimental results. The torsional rigidity of yarn in both experimental and theoretical results decreases with surface helix angle increases. But the experimental values are more higher than those of the theoretical ones.

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