• Title/Summary/Keyword: mathematical assessment

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The Mass Production Weapon System Environmental Stress-Screening Test Design Method based on Cost-effective-Optimization (비용 효과도 최적화 기반 양산 무기체계 환경 부하 선별 시험 설계 방법)

  • Kim, Jangeun
    • Journal of Applied Reliability
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    • v.18 no.3
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    • pp.229-239
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    • 2018
  • Purpose: There is a difficulty in Environmental Stress Screening (ESS) test design for weapon system's electrical/electronic components/products in small and medium-sized enterprises. To overcome this difficulty, I propose an easy ESS test design approach algorithm that is optimized with only one environment tolerance design information parameter (${\Delta}T$). Methods: To propose the mass production weapon system ESS test design for cost-effective optimization, I define an optimum cost-effective mathematical model ESS test algorithm model based on modified MIL-HDBK-344, MIL-HDBK-2164 and DTIC Technical Report 2477. Results: I clearly confirmed and obtained the quantitative data of ESS effectiveness and cost optimization along our ESS test design algorithm through the practical case. I will expect that proposed ESS test method is used for ESS process improvement activity and cost cutting of mass production weapon system manufacturing cost in small and medium-sized enterprises. Conclusion: In order to compare the effectiveness of the proposed algorithm, I compared the effectiveness of the existing ESS test and the proposed algorithm ESS test based on the existing weapon system circuit card assembly for signal processing. As a result of the comparison, it was confirmed that the test time was reduced from 573.0 minutes to 517.2minutes (9.74% less than existing test time).

Smart pattern recognition of structural systems

  • Hassan, Maguid H.M.
    • Smart Structures and Systems
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    • v.6 no.1
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    • pp.39-56
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    • 2010
  • Structural Control relies, with a great deal, on the ability of the control algorithm to identify the current state of the system, at any given point in time. When such algorithms are designed to perform in a smart manner, several smart technologies/devices are called upon to perform tasks that involve pattern recognition and control. Smart pattern recognition is proposed to replace/enhance traditional state identification techniques, which require the extensive manipulation of intricate mathematical equations. Smart pattern recognition techniques attempt to emulate the behavior of the human brain when performing abstract pattern identification. Since these techniques are largely heuristic in nature, it is reasonable to ensure their reliability under real life situations. In this paper, a neural network pattern recognition scheme is explored. The pattern identification of three structural systems is considered. The first is a single bay three-story frame. Both the second and the third models are variations on benchmark problems, previously published for control strategy evaluation purposes. A Neural Network was developed and trained to identify the deformed shape of structural systems under earthquake excitation. The network was trained, for each individual model system, then tested under the effect of a different set of earthquake records. The proposed smart pattern identification scheme is considered an integral component of a Smart Structural System. The Reliability assessment of such component represents an important stage in the evaluation of an overall reliability measure of Smart Structural Systems. Several studies are currently underway aiming at the identification of a reliability measure for such smart pattern recognition technique.

Are theoretically calculated periods of vibration for skeletal structures error-free?

  • Mehanny, Sameh S.F.
    • Earthquakes and Structures
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    • v.3 no.1
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    • pp.17-35
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    • 2012
  • Simplified equations for fundamental period of vibration of skeletal structures provided by most seismic design provisions suffer from the absence of any associated confidence levels and of any reference to their empirical basis. Therefore, such equations may typically give a sector of designers the false impression of yielding a fairly accurate value of the period of vibration. This paper, although not addressing simplified codes equations, introduces a set of mathematical equations utilizing the theory of error propagation and First-Order Second-Moment (FOSM) techniques to determine bounds on the relative error in theoretically calculated fundamental period of vibration of skeletal structures. In a complementary step, and for verification purposes, Monte Carlo simulation technique has been also applied. The latter, despite involving larger computational effort, is expected to provide more precise estimates than FOSM methods. Studies of parametric uncertainties applied to reinforced concrete frame bents - potentially idealized as SDOF systems - are conducted demonstrating the effect of randomness and uncertainty of various relevant properties, shaping both mass and stiffness, on the variance (i.e. relative error) in the estimated period of vibration. Correlation between mass and stiffness parameters - regarded as random variables - is also thoroughly discussed. According to achieved results, a relative error in the period of vibration in the order of 19% for new designs/constructions and of about 25% for existing structures for assessment purposes - and even climbing up to about 36% in some special applications and/or circumstances - is acknowledged when adopting estimates gathered from the literature for relative errors in the relevant random input variables.

A Study on Sensitivity Analysis of the Hydrodynamic Derivatives on the Maneuverability Prediction of KVLCC2 in Shallow Water by Model Test

  • Nguyen, Van Minh;Nguyen, Thi Thanh Diep;Yoon, Hyeon Kyu
    • Journal of Navigation and Port Research
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    • v.44 no.2
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    • pp.98-109
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    • 2020
  • In recent years, there have been concerted efforts toward predicting ship maneuvering in shallow water since the majority of ship's accidents near harbors commonly occur in shallow and restricted waters. Enhancement of ship maneuverability at the design stage is crucial in ensuring that a ship navigates safely. However, though challenging, establishing the mathematical model of ship maneuvering motion is recognized as crucial toward accurately predicting the assessment of maneuverability. This paper focused on a study on sensitivity analysis of the hydrodynamic coefficients on the maneuverability prediction of KVLCC2 in shallow waters. Hydrodynamic coefficients at different water depths were estimated from the experimental results conducted in the square tank at Changwon National University (CWNU). The simulation of standard maneuvering of KVLLC2 in shallow waters was compared with the results of the Free Running Model Test (FRMT) in shallow waters from other institutes. Additionally the sensitivity analysis of all hydrodynamic coefficients was conducted by deviating each hydrodynamic derivative from the experimental results. The standard maneuvering parameters including turning tests and zig-zag maneuvers were conducted at different water depths and their effects on the standard maneuvering parameters were assessed to understand the importance of different derivatives in ship maneuvering in shallow waters.

Study on the Cooperative Learning Method to Improve the Educational Achievement (학습성취도 향상을 위한 소그룹 협동학습 방안 연구)

  • Park, Hyung Kun
    • The Journal of Korean Institute for Practical Engineering Education
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    • v.3 no.1
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    • pp.40-44
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    • 2011
  • In the engineering education, the difference of student's achievements is one of the problems to make teaching more difficult. To solve this problem, cooperative learning can be adopted to make students study automatically and cooperatively in the small study group. However, it is not easy to achieve substantial cooperation in the study group. In this paper, we propose a method to achieve substantial cooperative learning in the engineering subject requiring mathematical practice. we can vitalize the cooperative learning and improve the student's achievements by using the both of individual and group assessment.

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Energy and Exergy Analysis of a Steam Turbine Cogeneration System (증기터빈 열병합 시스템에 대한 에너지 및 엑서지 해석)

  • Cho, Sung-Chul
    • Proceedings of the SAREK Conference
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    • 2009.06a
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    • pp.1397-1405
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    • 2009
  • In recent decades, exergy analysis has been holding spotlight as a useful tool in the design, assessment, optimization, and improvement of energy system. This paper presents the results of the energy and exergy analysis of a steam turbine cogeneration system for industrial complex using two efficiency concepts of conventional one and exergetic one. In order to obtain the destroyed exergy of each component, mathematical analysis is conducted by using exergy balance and the second law of thermodynamics, according as the parameters are changed, such as the ratio of returned process steam, process steam supplied, temperature and pressure of boiler and power. The computer program developed in this study can determine the efficiencies and exergy destroyed at each component of cogeneration system. As a result of this study, a component having the largest destroyed exergy was boiler. And closed and opened feedwater heater had the lowest one. The affects to the cogeneration system due to the variation of process steam flow and return rate of condensed water is shown that the total electric power efficiency(${\eta}_E$) is decreased as increasing the return rate of condensed water under constant process steam flow. As the boiler pressure is increased for the more production of electricity, the efficiency of cogeneration system was decreased.

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Mathematics in the Joseon farmland tax systems (조선(朝鮮)의 전제법(田制法)과 산학(算學))

  • Hong, Sung Sa;Hong, Young Hee;Kim, Chang Il
    • Journal for History of Mathematics
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    • v.28 no.2
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    • pp.65-72
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    • 2015
  • The Joseon dynasty (1392-1910) is basically an agricultural country and therefore, the main source of her national revenue is the farmland tax. Thus the farmland tax system becomes the most important state affair. The 4th king Sejong establishes an office for a new law of the tax in 1443 and adopts the farmland tax system in 1444 which is legalized in Gyeongguk Daejeon (1469), the complete code of law of the dynasty. The law was amended in the 19th king Sukjong era. Jo Tae-gu mentioned the new system in his book Juseo Gwan-gyeon (1718) which is also included in Sok Daejeon (1744). Investigating the mathematical structures of the two systems, we show that the systems involve various aspects of mathematics and that the systems are the most precise applications of mathematics in the Joseon dynasty.

Analysis for the changes of the mathematics cognitive domain and for the international achievement in TIMSS (TIMSS 인지영역 평가틀의 변화와 우리나라 학생들의 국제적 수학 성취도)

  • Kim, Sun-Hee
    • Journal for History of Mathematics
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    • v.21 no.3
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    • pp.157-182
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    • 2008
  • TIMSS 2003 is the third and most recently round of IEA's Trends in International Mathematics and Science Study. In this study, I considered the changes of the mathematics cognitive domain in TIMSS and got some facts for developing assessment framework. And I analyzed 7 countries' achievement in the view of our country Korea, i.e. Singapore, Hongkong, Chinese Taipei, Japan, Netherlands, and Unites States. With the reliable and valid achievement scales for cognitive domains given by ISC, students' achievement scales were analyzed according to country, percentile, and sex in each cognitive domain.

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Research for Distinctive Features of Geometry Problem Solving According to Achievement Level on Middle School Students (중학생의 성취수준에 따른 기하 문제해결의 특징 탐색)

  • Kim Ki-Yoen;Kim Sun-Hee
    • School Mathematics
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    • v.8 no.2
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    • pp.215-237
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    • 2006
  • In this study, we research distinctive features of geometry problem solving of middle school students whose mathematical achievement levels are distinguished by National Assessment of Educational Achievement. We classified 9 students into 3 groups according to their level : advanced level, proficient level, basic level. They solved an atypical geometry problem while all their problem solving stages were observed and then analyzed in aspect of development of geometrical concepts and access to the route of problem solving. As those analyses, we gave some suggestions of teaching on mathematics as students' achievement level.

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Probabilistic Damage Mechanics Assessment of CANDU Pressure Tube using Genetic Algorithm (유전자 알고리즘을 이용한 CANDU 압력관의 확률론적 손상역학 평가)

  • Ko, Han-Ok;Chang, Yoon-Suk;Choi, Jae-Boong;Kim, Young-Jin;Kim, Hong-Key;Choi, Young-Hwan
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.192-192
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    • 2008
  • As the lifetime of nuclear power plants (NPPs) reaches design life, the probability for fatal accidents increases. Most of accidents are known to be caused by degradation of mechanical components. Pressure tubes are the most important components in CANDU reactor. They are subjected to various aging mechanisms such as delayed hydride cracking (DHC), irradiation and corrosion, etc. Therefore, the integrity of pressure tube is key concern in CANDU reactor. Up to recently, conventional deterministic approaches have been utilized to evaluate the integrity of components. However, there are many uncertainties to prevent a rational evaluation. The objective of this paper is to assess the failure probability of pressure tube in CANDU. To do this, probability fracture mechanics (PFM) analysis based on the Genetic Algorithm (GA) is performed. For the verification of the analysis, a comparison of the PFM analysis using a commercial code and mathematical method is carried out.

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