• Title/Summary/Keyword: Non-Dimensional Analysis

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Similarity Measure Design on High Dimensional Data

  • Nipon, Theera-Umpon;Lee, Sanghyuk
    • Journal of the Korea Convergence Society
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    • v.4 no.1
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    • pp.43-48
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    • 2013
  • Designing of similarity on high dimensional data was done. Similarity measure between high dimensional data was considered by analysing neighbor information with respect to data sets. Obtained result could be applied to big data, because big data has multiple characteristics compared to simple data set. Definitely, analysis of high dimensional data could be the pre-study of big data. High dimensional data analysis was also compared with the conventional similarity. Traditional similarity measure on overlapped data was illustrated, and application to non-overlapped data was carried out. Its usefulness was proved by way of mathematical proof, and verified by calculation of similarity for artificial data example.

Free Vibration Analysis of Arbitrarily Shaped Plates with Free Edges Using Non-dimensional Dynamic Influence Functions: the case that straight and curved boundaries are mixed (무차원 동영향 함수를 이용한 자유단 경계를 가진 임의 형상 평판의 진동해석 : 직선 및 곡선 경계가 혼합된 경우)

  • Choi, Jang-Hoon;Kang, Sang-Wook
    • 한국신재생에너지학회:학술대회논문집
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    • 2005.06a
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    • pp.534-537
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    • 2005
  • Free Vibration Analysis using Non-dimensional Dynamic Influence Function (NDIF) is extended to arbitrarily shaped plates including polygonal plates. Since the corners of polygonal plates have indefinite normal directions and additional boundary conditions related to a twisting moment at a corner along with moment and shear force zero conditions, it is not easy to apply the NDIF method to polygonal plates wi th the free boundary condition. Moreover, owing to the fact that the local polar coordinate system, which has been introduced for free plates with smoothly varying edges, cannot be employed for the straight edges of the polygonal plates, a new coordinate system is required for the polygonal plates. These problems are solved by developing the new method of modifying a corner into a circular arc and setting the normal direction at the corner to an average value of normal direct ions of two edges adjacent to the corner. Some case studies for plates with various shapes show that the proposed method gives credible natural frequencies and mode shapes for various polygons that agree well with those by an exact method or FEM (ANSYS).

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Variation Stack-Up Analysis Using Monte Carlo Simulation for Manufacturing Process Control and Specification

  • Lee, Byoungki
    • Journal of Korean Society for Quality Management
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    • v.22 no.4
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    • pp.79-101
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    • 1994
  • In modern manufacturing, a product consists of many components created by different processes. Variations in the individual component dimensions and in the processes may result in unacceptable final assemblies. Thus, engineers have increased pressure to properly set tolerance specifications for individual components and to control manufacturing processes. When a proper variation stack-up analysis is not performed for all of the components in a functional system, all component parts can be within specifications, but the final assembly may not be functional. Thus, in order to improve the performance of the final assembly, a proper variation stack-up analysis is essential for specifying dimensional tolerances and process control. This research provides a detailed case example of the use of variation stack-up analysis using a Monte Carlo simulation method to improve the defect rate of a complex process, which is the commutator brush track undercut process of an armature assembly of a small motor. Variations in individual component dimensions and process mean shifts cause high defect rate, Since some dimensional characteristics have non-normal distributions and the stack-up function is non-linear, the Monte Carlo simulation method is used.

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Numerical analysis of flow characteristics with intake port and valve design (흡기포트 및 밸브 형상에 따른 정상 유동 특성)

  • Lee, Sang-Jin;Kim, Seong-Cheol;Kim, Duk-Sang;Ohm, In-Yong;Cho, Yong-Seok
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.921-927
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    • 2001
  • Steady flow bench test is a practical, powerful and widely used test in most engine manufacturers to give a design concept of a new engine. In order to use steady data as a performance index, it is necessary to build some database, which can correlate the port characteristics with engine data. However, it is very hard to investigate all port and valve shapes with experimental tools. The steady flow scheme is relatively simple and its results are bulk ones such as flow rate and momentum of flow. Therefore a CFD code can be easily applied to the port evaluation. In this study, the steady flow test was simulated through two and three-dimensional analysis on intake port design for comparing with experimental data and confirming the feasibility of applying analytic method. For this purpose, the effect of valve curvature on flow rate was estimated by a CFD code. There results were compared with those of real steady flow tests. As a result, the 2-D analysis described the phenomena qualitatively well, and also the results of 3-D analysis were almost consistent with experimental data.

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SIMILARITY ANALYSIS OF HEART ARRHYTHMIA WITH FLUID VORTEX-NUMERICAL APPROACH (유체와류현상과 심장부정맥의 상관성 연구-수치적 접근)

  • Shim, E.B.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.221-223
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    • 2010
  • Considering the similarity between fluid vortex and arrhythmogenic reentrant waves in heart, we applied the non-dimensionalization method in fluid dynamics to arrhythmia analysis and discovered a new non-dimensional simulation results, there was a threshold value of the number that resulted in the induction of a reentrant wave.

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Performance Analysis on the Trapezoidal Fins having Different Slope for Enhanced Heat Exchange (열교환 향상을 위한 경사각이 다른 사다리꼴 휜에 대한 성능해석)

  • 강형석;윤세창
    • Journal of the Korean Society of Propulsion Engineers
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    • v.3 no.3
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    • pp.16-24
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    • 1999
  • Performance of the trapezoidal fins having different upper side slope is investigated by the three dimensional analytic method. It is shown that one equation can be used to analyse the trapezoidal fins having different upper side slope by adjusting the slope factor only. The performances for these fins are represented as a function of the non-dimensional fin length, fin width, Biot number and the slope factor when the remaining variables are fixed arbitrarily. One of the results is that the fin effectiveness increases as Biot number, the non-dimensional fin width and the slope factor decrease and as the non-dimensional fin length increases in the case of Bi $\leq$ 0.1 but the trend of the fin shape effect on the effectiveness is somewhat irregular for higher Biot number(i.e. Bi = 0.3).

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Two-dimensional model analysis for the pulse tube of rotating pulse tube refrigerator (회전하는 맥동관 냉동기의 맥동관에 대한 2차원 모델 해석)

  • Chai J.;Jeong S.;Jeong Eun-Soo
    • Progress in Superconductivity and Cryogenics
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    • v.8 no.3
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    • pp.63-69
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    • 2006
  • This paper describes the effect of rotating frequency on the pulse tube of Stirling type pulse tube refrigerator. Various conditions were analyzed by two-dimensional analysis with several dominant non-dimensional parameters. With the additional pressure term influenced by centrifugal force in rotating condition, the linearized conservation equations of mass, momentum, energy of the gas were solved to obtain the first order variables and calculate the enthalpy flow in rectangular coordinates. The rotational effect in pulse tube for the refrigerator's performance were quantitatively evaluated. According to the first order analysis, the enthalpy flow decreases with the rotating speed.

Development of Three Dimensional Groundwater Flow Program (3차원 지하수 흐름해석 프로그램 개발에 관한 연구)

  • 박준모;장연수;김홍석;이두화
    • Proceedings of the Korean Geotechical Society Conference
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    • 2001.03a
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    • pp.577-584
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    • 2001
  • For construction and design of tunnels, groundwater flow models are used to find the influence of groundwater to the stability of tunnels considering the geological condition around the tunnels and the materials used in tunnel linings. For the analysis of tunnel flow, some commercial programs, e.g. MODFLOW, SEEP/W etc., are used. These programs have limitations that MODFLOW could not define curved surface smoothly in three dimensional flow media and SEEP/W is the 2-dimensional flow model. In this paper, the ability of a finite element program developed for analyzing 3-dimensional groundwater flow is examined. Confined steady state groundwater flow solution in non-homogeneous media is obtained using isoparametric element with eight trilinear hexahedron nodes and is compared with the result of MODFLOW. It was found that the solution yielded a good result with the three dimensional flow studied.

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Non-dimensional analysis of cylindrical objects freely dropped into water in two dimensions (2D)

  • Zhen, Yi;Yu, Xiaochuan;Meng, Haozhan;Li, Linxiong
    • Ocean Systems Engineering
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    • v.10 no.3
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    • pp.267-287
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    • 2020
  • The dropped objects are identified as one of the top ten causes of fatalities and serious injuries in the oil and gas industry. It is of importance to understand dynamics of dropped objects under water to accurately predict the motion of dropped objects and protect the underwater structures and facilities from being damaged. In this paper, we study non-dimensionalization of two-dimensional (2D) theory for dropped cylindrical objects. Non-dimensionalization helps to reduce the number of free parameters, identify the relative size of effects of force and moments, and gain a deeper insight of the essential nature of dynamics of dropped cylindrical objects under water. The resulting simulations of dimensionless trajectory confirms that drop angle, trailing edge and drag coefficient have the significant effects on dynamics of trajectories and landing location of dropped cylindrical objects under water.

On-the-fly ionizing photon non-conservation correction for the Excursion-set reionization models

  • Park, Jaehong;Greig, Bradley;Mesinger, Andrei
    • The Bulletin of The Korean Astronomical Society
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    • v.46 no.1
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    • pp.30.3-30.3
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    • 2021
  • In order to generate the 3D structure of the 21-cm signal during the reionization, semi-numerical simulations based on Excursion set formalism are broadly used. However, semi-numerical simulations in the realization of the 3D structure are known to be the ionizing photon non-conserving by the structure of the Excursion set approach. Recently, explicit photon conserving algorithms for semi-numerical simulations introduced, but they are still too slow when forward modelling the 21-cm signal with high-dimensional parameter spaces. Here, we introduce a new method for approximately correcting photon non-conservation, which can be applied on-the-fly. This method is tailored towards the efficient simulation and Bayesian inference with high-dimensional parameter space. Then, we investigate how large an impact that photon non-conservation has on astrophysical parameter inference by performing an MCMC analysis. We find that the ionizing escape parameter is deviated from the fiducial value by 2 sigma when we infer astrophysical parameters without this correction.

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