• Title/Summary/Keyword: problem analysis

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Analysis of the Relationship Between Preservice Teachers' Mathematical Understanding in Visual Expressions and Problem-Posing Ability: Focusing on Multiplication and Division of Fractions (예비교사의 시각적 표현에서의 수학적 이해와 문제 만들기 능력의 관련성 분석: 분수의 곱셈과 나눗셈을 중심으로)

  • Son, Taekwon
    • Education of Primary School Mathematics
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    • v.26 no.4
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    • pp.219-236
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    • 2023
  • This study examined the relationship between preservice teachers' mathematical understanding and problem posing in fractions multiplication and division. To this purpose, 41 preservice teachers performed visual representation and problem posing tasks for fraction multiplication and division, measured their mathematical understanding and problem posing ability, and examined the relationship between mathematical understanding and problem posing ability using cross-tabulation analysis. As a result, most of the preservice teachers showed conceptual understanding of fraction multiplication and division, and five types of difficulties appeared. In problem posing, most of the preservice teachers failed to pose a math problem that could be solved, and four types of difficulties appeared. As a result of cross-tabulation analysis, the degree of mathematical understanding was related to the ability to pose problems. Based on these results, implications for preservice teachers' mathematical understanding and problem posing were suggested.

A Study on efficient contact analysis and optimum support design using commercial analysis software (상용 해석 소프트웨어를 이용한 접촉문제의 효과적 해석 및 최적 지지점 설계)

  • 최주호;원준호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.10a
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    • pp.437-444
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    • 2004
  • In this study, an optimum support design problem is considered to minimize displacement of stacked plates under self weight condition. During the displacement analysis, several kinds of contact arise between the plates themselves and support bar. These can be easily considered if commercial analysis software, which provides capability to solve the contact problem, is used. It is found, however, that the computing time is extraordinarily long due possibly to the generality of the software and also to the ignorance of the control parameters used in the software. In this paper, the contact condition is imposed directly by the authors, while the software is used only to solve the ordinary displacement analysis problem. In this way, the computing time is decreased remarkably by more than 30 times, while yielding the same accurate results. Optimization is conducted based on this efficient analysis method to find minimum number of supporting bars using the response surface algorithm.

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Static and dynamic finite element analysis of honeycomb sandwich structures

  • Triplett, Matt H.;Schonberg, William P.
    • Structural Engineering and Mechanics
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    • v.6 no.1
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    • pp.95-113
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    • 1998
  • The extensive use of honeycomb sandwich structures has led to the need to understand and analyze their low velocity impact response. Commercially available finite element software provides a possible analysis tool for this type of problem, but the validity of their material properties models for honeycomb materials must be investigated. Three different problems that focus on the effect of differences in honeycomb material properties on static and dynamic response are presented and discussed. The first problem considered is a linear elastic static analysis of honeycomb sandwich beams. The second is a nonlinear elastic-plastic analysis of a circular honeycomb sandwich plate. The final problem is a dynamic analysis of circular honeycomb sandwich plates impacted by low velocity projectiles. Results are obtained using the ABAQUS final element code and compared against experimental results. The comparison indicates that currently available material properties models for honeycomb materials can be used to obtain a good approximation of the behavior of honeycomb sandwich structures under static and dynamic loading conditions.

On a Two Dimensional Linear Programming Knapsack Problem with the Extended GUB Constrain (확장된 일반상한제약을 갖는 이차원 선형계획 배낭문제 연구)

  • Won, Joong-Yeon
    • Journal of Korean Institute of Industrial Engineers
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    • v.27 no.1
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    • pp.25-29
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    • 2001
  • We present a two dimensional linear programming knapsack problem with the extended GUB constraint. The presented problem is an extension of the cardinality constrained linear programming knapsack problem. We identify some new properties of the problem and derive a solution algorithm based on the parametric analysis for the knapsack right-hand-side. The solution algorithm has a worst case time complexity of order O($n^2logn$). A numerical example is given.

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Ego Resilience, Problem Solving Process and Clinical Practice Competency in Nursing Students (간호대학생의 자아탄력성, 문제해결과정 및 임상수행능력)

  • Park, Yeong Sook;Kwon, Yunhee
    • The Journal of Korean Academic Society of Nursing Education
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    • v.19 no.3
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    • pp.341-350
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    • 2013
  • Purpose: This study was done to identify the relationship among ego resilience, the problem solving process and clinical competency in nursing students. Methods: Data were collected by questionnaires from 265 nursing students in D city. Measures were ego resilience, problem solving process and clinical competency. Data was analyzed using frequency analysis, t-test, one-way ANOVA, person's correlation coefficients, and multiple regression analysis with SPSS/WIN 19.0 version. Result: The Ego resilience score of subjects was 2.80 out of a perfect score of 4, the problem solving process score of subjects was 3.12, and the clinical competency score of subjects was 3.49 out of a perfect score of 5. There was a significant positive correlation among ego resilience, problem solving process and clinical competency. The significant predictors of problem solving process and clinical competency were ego resilience. Conclusion: These findings indicate that there is a need to increase ego resilience to improve the problem solving process and clinical competency of nursing students. The results should be reflected in the development of effective curricula.

Influence of Nurses' Performance with Critical Thinking and Problem Solving Process (비판적 사고성향과 문제해결과정이 간호업무수행에 미치는 영향)

  • Choi, Hae-Ran;Cho, Dong-Sook
    • Women's Health Nursing
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    • v.17 no.3
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    • pp.265-274
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    • 2011
  • Purpose: This study determined the correlation between nurses' critical thinking disposition; problem solving process; and nursing performance. It also examined the impact of critical thinking disposition and problem solving process on nursing performance. Methods: The data was collected from 419 nurses. Descriptive statistics, t-test, ANOVA, scheffe test, pearson correlation analysis and multiple regression analysis were performed. Results: Nursing performance showed that there were differences according to age, marital status, educational level, total number of years in the career and the length of employment in the present department. The problem solving process showed differences in the educational level. Critical thinking disposition showed differences according to age, educational level and total number of years in the career. Problem solving process and nursing performance showed a positive relationship whereas critical thinking disposition and nurses' performance showed a positive relationship. Factors affecting nursing performance, were nurses' age, duration of employment in the present department, problem solving process and critical thinking disposition. This model was statistically significant and showed 22.1% of the total variance. Conclusion: The attention of nursing administrators should be drawn to the consideration that a certain amount of experience in the current department is positively related to nursing performance. Furthermore, in order to provide a improvement in professional nursing performance, educational programs towards nurses' critical thinking disposition and problem solving process should be provided.

Consumer Problem Perceived by Urban Low-Income Consumers and the Related Factors (도시 저소득층의 소비자문제지각과 관련요인 연구)

  • 김성숙;이기춘
    • Journal of Families and Better Life
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    • v.7 no.2
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    • pp.31-43
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    • 1989
  • The purposes of this study were to identify the overall levels of consumer problem, consumer competencies and purchase pattern of urban low-income consumers and to examine the factors affecting the consumer problem and the subareas-market environment problem(MEP) and transaction relation problem(TRP). The related factors, that is, independent variables were competencies-related factors(consumption-oriented attitude, attitude on consumerism, consumer knowledge), purchase pattern-related factors (search pattern, credit pattern, peddler pattern) and socio-demorgraphic factors(age, educational level, family size). For this purpose, a survey was conducted by interview using questionaires on 198 homemakers that lived in the poor areas of Seoul. Statistics used for data analysis were Frequency Distribution, Percentile, Mean, Pearson's Correlation, One-way ANOVA, Scheffe-test, Breakdown and Multiple Classification Analysis. Major findings were as follows: 1) In the level of consum r problem were in the middle level and the level of MEP were higher than that of TRP. The attitude on consumption-orientation was so negative, while attitude on consumerism was positive. The level of consumer knowledge was in the middle level. The urban low-income consumers searched a little and depended on credit and peddler in the low level. 2) Consumer problem perceived by urban low-income consumers differed significantly according to attitude on consumerism, credit pattern, monthly charge of peddler purchase. The MEP depended on attitude on consumerism and monthly charge of peddler purchase, and the TRP was affected by credit pattern and attitude on consumerism. Resulting from MCA, the most influencial variable was attitude on consumerism and credit pattern in the consumer problem, and attitude on consumerism in the MEP, and credit pattenr in the TRP.

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Analytical solution of a contact problem and comparison with the results from FEM

  • Oner, Erdal;Yaylaci, Murat;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • v.54 no.4
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    • pp.607-622
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    • 2015
  • This paper presents a comparative study of analytical method and finite element method (FEM) for analysis of a continuous contact problem. The problem consists of two elastic layers loaded by means of a rigid circular punch and resting on semi-infinite plane. It is assumed that all surfaces are frictionless and only compressive normal tractions can be transmitted through the contact areas. Firstly, analytical solution of the problem is obtained by using theory of elasticity and integral transform techniques. Then, finite element model of the problem is constituted using ANSYS software and the two dimensional analysis of the problem is carried out. The contact stresses under rigid circular punch, the contact areas, normal stresses along the axis of symmetry are obtained for both solutions. The results show that contact stresses and the normal stresses obtained from finite element method (FEM) provide boundary conditions of the problem as well as analytical results. Also, the contact areas obtained from finite element method are very close to results obtained from analytical method; disagree by 0.03-1.61%. Finally, it can be said that there is a good agreement between two methods.

Forced vibration analysis of a dam-reservoir interaction problem in frequency domain

  • Keivani, Amirhossein;Shooshtari, Ahmad;Sani, Ahmad Aftabi
    • Interaction and multiscale mechanics
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    • v.6 no.4
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    • pp.357-375
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    • 2013
  • In this paper, the forced vibration problem of an Euler-Bernoulli beam that is joined with a semi-infinite field of a compressible fluid is considered as a boundary value problem (BVP). This BVP includes two partial differential equations (PDE) and some boundary conditions (BC), which are introduced comprehensively. After that, the closed-form solution of this fluid-structure interaction problem is obtained in the frequency domain. Some mathematical techniques are utilized, and two unknown functions of the BVP, including the beam displacement at each section and the fluid dynamic pressure at all points, are attained. These functions are expressed as an infinite series and evaluated quantitatively for a real example in the results section. In addition, finite element analysis is carried out for comparison.

Simulation of Ball Indentation Process by Elasto-Plastic Contact Analysis (탄소성 접촉 해석법을 이용한 볼 압입시험의 시뮬레이션)

  • 이병채;곽병만
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.2
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    • pp.185-192
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    • 1988
  • Computation of the elasto-plastic solution of ball indentation was carried out by the quadratic programming method. The problem was formulated as an elasto-plastic contact problem under the assumption of small displacement and small deformation and then transformed into a minimization problem. Finite element approximation resulted in a quadratic programming problem. Numerical and experimental study were done with aluminium Al 2024-T351 and commercially pure copper. The computed load-displacement curves were in good agrement with those obtained from experiments. Tabor's relationship for representative strains was also examined. Stress distributions were found to resemble closely those results available in the literature.