• Title/Summary/Keyword: numerical studies

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An Investigation Into 3-, 4-, and 5-Year-Old Children's Nonsymbolic Magnitude Comparison Ability According to Ratio Limit and Task Condition (비율제한 및 과제제시방법에 따른 3, 4, 5세 유아의 비상징 수 비교능력)

  • Cho, Woomi;Yi, Soon-Hyung
    • Korean Journal of Child Studies
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    • v.38 no.1
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    • pp.117-126
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    • 2017
  • Objective: The purpose of this study was to investigate young children's nonsymbolic magnitude comparison ability according to ratio limit and task condition. Methods: The participants included 40 3-year-old children, 42 4-year-old children, and 41 5-year-old children recruited from 4 childcare centers located in Seoul, Korea. All magnitude comparison tasks were composed of image material tasks and concrete material tasks. In addition, each magnitude comparison task varied with the ratio of the two quantities; 0.5 ratio, 0.67 ratio, 0.75 ratio. Results and Conclusion: The results revealed that 3-, 4-, and 5-year-old children could perform nonsymbolic magnitude comparison tasks without learning experiences. Also, 3-, 4-, and 5-year-old children could perform concrete material tasks better than image material tasks in nonsymbolic magnitude comparison tasks. Furthermore, children's performance on nonsymbolic magnitude comparison tasks indicated the ratio signature of the approximate number system. Children have a degree of numerical capacity prior to formal mathematics instruction. Also, children were influenced by task conditions or sense stimulus when they processed numerical information. Furthermore, the approximate number system can be used in understanding the ordinality of number.

A Note on the Robustness of the X Chart to Non-Normality

  • Lee, Sung-Im
    • Communications for Statistical Applications and Methods
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    • v.19 no.5
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    • pp.685-696
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    • 2012
  • These days the interest of quality leads to the necessity of control charts for monitoring the process in various fields of practical applications. The $\overline{X}$ chart is one of the most widely used tools for quality control that also performs well under the normality of quality characteristics. However, quality characteristics tend to have nonnormal properties in real applications. Numerous recent studies have tried to find and explore the performance of $\overline{X}$ chart due to non-normality; however previous studies numerically examined the effects of non-normality and did not provide any theoretical justification. Moreover, numerical studies are restricted to specific type of distributions such as Burr or gamma distribution that are known to be flexible but can hardly replace other general distributions. In this paper, we approximate the false alarm rate(FAR) of the $\overline{X}$ chart using the Edgeworth expansion up to 1/n-order with the fourth cumulant. This allows us to examine the theoretical effects of nonnormality, as measured by the skewness and kurtosis, on $\overline{X}$ chart. In addition, we investigate the effect of skewness and kurtosis on $\overline{X}$ chart in numerical studies. We use a skewed-normal distribution with a skew parameter to comprehensively investigate the effect of skewness.

Elastic stiffness of perfobond connections in composite structures

  • Qin, Xi;Yang, Guotao
    • Steel and Composite Structures
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    • v.42 no.2
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    • pp.221-241
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    • 2022
  • Perfobond rib connectors are widely used in composite structures to achieve the composite action between the steel and the concrete, and empirical expressions for their strength and secant stiffness have been obtained by numerical simulations or push-out tests. Since perfobond connections are generally in an elastic state in the service process and the structural analysis are always based on the elastic properties of the members, the secant stiffness is not applicable for the normal structural analysis. However, the tangent stiffness of perfobond connections has not been introduced in previous studies. Moreover, the perfobond connections are bearing tension and shear force simultaneously when the composite beams subjected to torque or local loads, but the current studies fail to arrive at the elastic stiffness considering the combined effects. To resolve these discrepancies, this paper investigates the initial elastic stiffness of perfobond connections under combined forces. The calculation method for the elastic stiffness of perfobond connections is analyzed, and the contributions of the perfobond rib, the perforating rebar and the concrete dowel are investigated. A finite element method was verified with a high value of correlation for the test results. Afterwards, parametric studies are carried out using the reliable finite element analysis to explore the trends of several factors. Empirical equations for predicting the initial elastic stiffness of perfobond connections are proposed by the numerical regression of the data extracted by parametric studies. The equations agree well with finite element analysis and test results, which indicates that the proposed empirical equations reflect a high accuracy for predicting the initial elastic stiffness of perfobond connections.

Comparative Study on the Several Types of Double-Acting Oleo-Pneumatic Shock Absorbers of Aircraft Part II. Numerical Analysis and Comparison (항공기 올레오식 2중 완충기 종류에 따른 특성 비교 연구 Part II. 수치해석 및 비교)

  • Jeong, Seon Ho;Lee, Cheol Soon;Kim, Jeong Ho;Cho, Jin Yeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.45 no.11
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    • pp.951-966
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    • 2017
  • In this work, numerical analyses are carried out and the behaviors are investigated for three types of double-acting oleo-pneumatic shock absorbers along with the mathematical models proposed in the part I of this work. After presenting each numerical algorithm corresponding to each model, the numerical algorithms are implemented as user-subroutines in MSC/ADAMS commercial multi-body dynamic software. By using the developed user-subroutines, numerical studies are carried out for compression/stretch test as well as drop test. From the comparative studies, we investigated the salient feature of each double-acting oleo-pneumatic shock absorber. Results identifies that it is possible to increase the absorbing efficiency in accordance with the requirements for aircraft landing conditions.

A Study on the Effective Visual Form Following the Numerical Information Types (수치정보 유형에 따른 효과적인 시각적 형태 연구)

  • Kim, Jae-Young;Kim, Duk-Yong
    • The Journal of the Korea Contents Association
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    • v.16 no.4
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    • pp.624-633
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    • 2016
  • Although a number of information is emerging in the big data era and studies on the infographic studies for delivering it effectively are becoming an issue, the visualization study on the numerical information delivered through the credit card statement is very poor compared to its importance. The effective visualization method following each information characteristics was by analyzing the numerical information types focusing on the credit card statement. The type of the figure information classified into the comparative analysis, progress of time change, proportion, relationship, scope, and distribution, and it was made into the graph form proper to the nature of each information to study the most effective and ideal visual form. Therefore, this study is significant because it suggests a control point of the visualization by pointing out an effective visual form for delivering the numerical information that appears on the credit card statement with the figure characteristics.

A Numerical Investigation for Prediction of Shock Deceleration of Conical Impactor in Gas-Gun Tests (가스건 시험에서 원추형 충격자의 충격 감가속도 예측에 관한 전산해석적 연구)

  • Yoon, Hee;Oh, Jong Soo;Jung, Myung-Suk
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.5
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    • pp.279-286
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    • 2019
  • In this study, a numerical investigation is conducted for the shock deceleration prediction of a conical impactor in gas-gun tests. With the development of weapon systems, gas-gun tests are required to validate the survivability and structural reliability of devices under test (DUT) in high-G shock environments, such as those over ten thousand Gs or more. As shock endurance is highly influenced by various bird parameters, such as mass, velocity, and pressure, it is important to determine the appropriate test conditions to generate a high-G shock environment. However, experimental repetitive studies are inefficient to validate test conditions in terms of economic aspects. Therefore, a numerical technique is required to replace experimental gas-gun tests. Here, a numerical investigation is conducted with ANSYS AUTODYN using explicit code. Through this investigation, the dynamic behavior of DUT is presented. In addition, the results of numerical studies are verified through a comparison with the experimental results of a gas-gun test.

A Study on Korean Culture Education by Applying Numerical Symbols (숫자 상징을 활용한 한국 문화 교육 연구)

  • Kim, Nang-Ye
    • Cross-Cultural Studies
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    • v.43
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    • pp.139-170
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    • 2016
  • Through the process, it is possible to understand the meanings of specific numerical symbols that are present in our daily lives, rather than regarding them as abstract symbols. The symbols can be efficiently utilized for cultural communication between Korean teachers and foreign learners, and between learners with different cultural backgrounds. A symbol that intensively shows Korean culture can be applied efficiently to cultural education. This is because Korean identity can be understood by means of symbols that represent Korean thoughts and emotions. Therefore, this study intends to examine the contents of symbol education applicable to Korean culture education, centering on numerical symbols amid far-reaching symbol systems. For this purpose, this study analyzed how the application of numerical symbols is presented in Korean textbooks, with the intent to organize the symbols into 4 categories of myth, folklore, taboo, and idiomatic expressions, which might be actually helpful for understanding Korean culture.

Numerical Study of CH4/LOx Combustion of Shear-coaxial Injector in High Pressure Combustion Chamber of Liquid Rocket (액체로켓 동축인젝터(CH4/LOx)의 고압 연소실 내 연소 유동장에 대한 수치적 연구)

  • Kim, Jung Eun;Jeung, In-Seuck
    • 한국연소학회:학술대회논문집
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    • 2014.11a
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    • pp.311-313
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    • 2014
  • High pressure combustion with multiphase--liquid, gas, and supercritical phase--mixtures are widely used technology in the high efficiency liquid propellent rocket engine. This is the typical characteristics differentiate from the combustor of conventional air-breathing engines. Therefore, successful research of high pressure combustion at supercritical condition is essential to develope a high efficiency liquid rocket engine. Numerical studies have been carried out to explore capabilities of numerical method for LOx-CH4 non-premixed flames at high pressure. In this paper, corresponding numerical results are presented and compared with experimental result of MASCOTTE facility.

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Applicability of Computational Fluid Dynamics on Industrial Ventilation Engineering (산업환기공학에 대한 전산유체역학의 응용가능성)

  • Ha, Hyun-Chul;Kim, Tae-Hyeung;Shim, Kwang-Jin
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.8 no.2
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    • pp.163-177
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    • 1998
  • Computational Fluid Dynamics(CFD) was applied to predict air flow around the hoods : circular hoods, square hoods, and push-pull hoods. A commercially available CFD software, CFD-ACE(Ver. 4.0), was tested, which is based on the finite volume method using the ${\kappa}-{\varepsilon}$ turbulence model. Numerical results were compared with the experimental, analytical and numerical results from other studies. CFD solutions showed an excellent agreement with the previous experimental and numerical results. It is promising that CFD techniques could be applied on the variety of complex problems in the industrial ventilation engineering.

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