• Title/Summary/Keyword: mathematical performances

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Realization of signifiers and mathematics understanding: Focused on the elapsed time (기표의 구현과 수학적 이해: 경과시간을 중심으로)

  • Han, Chaereen
    • The Mathematical Education
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    • v.60 no.3
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    • pp.249-264
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    • 2021
  • This article is devoted to investigating young learners' understanding of elapsed time from socio-cultural perspectives. The socio-cultural perspective benefits to access and personalize mathematics learning as how to have a mathematical object to be able to realize signifiers with the help of many other mathematical words and mediators. In terms of the realization of signifiers, I analyzed performances on elapsed time tasks of students in Grades 3 (n=115) and interviewed focal students. Quantitative analysis on students' performance identified that students perform differently when the task provided with the analog clock signifier. It suggested that students might think in a different way upon the given signifier even for the same elapsed time, especially when given as the analog clock. Qualitative analysis on focal students' interviews visualized how the students' understanding were different by displaying individual realization trees on elapsed time. The particular location of the analog clock signifier on each realization tree provided a personalized explanation about low performance on the task with analog clock signifier. The finding suggested that the realization of a specific signifier could be a key point in elapsed time understanding. I discussed why a majority of students face difficulty in elapsed time learning indicated analog clock and the advantage of moving elapsed time strands to higher grades in the school mathematics curriculum.

Computer-Aided Alloy Design of Insert Metal for Transient Liquid Phase Bonding of High Aluminum Ni-base Superalloys

  • Nishimotd, Kazutoshi;Saida, Kazuyoshi
    • Proceedings of the KWS Conference
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    • 2002.10a
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    • pp.803-808
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    • 2002
  • A computer-aided alloy-designing technique to develop the insert metal for transient liquid phase (TLP) bonding was applied to high aluminum Ni-base superalloys. The main procedure of a mathematical programming method was to obtain the optimal chemical composition through rationally compromising the plural objective performances of insert metal by a grid-search which involved data estimation from the limited experimental data using interpolation method. The objective function Z which was introduced as an index of bonding performance of insert metal involved the melting point, hardness (strength), formability of brittle phases and void ratio (bonding defects) in bond layer as the evaluating factors. The contour maps of objective function Z were also obtained applying the interpolation method. The compositions of Ni-3.0%Cr-4.0%B-0.5%Ce (for ${\gamma}$/${\gamma}$/${\beta}$ type alloy) and Ni3.5%Cr-3.5%B-3%Ti (for ${\gamma}$/${\gamma}$ type alloy) which optimized the objective function were determined as insert metal. SEM observations revealed that the microstructure in bond layers using the newly developed insert metals indicated quite sound morphologies without forming microconstituents and voids. The creep rupture properties of both joints were much improved compared to a commercial insert metal of MBF-80 (Ni-15.5%Cr-3.7%B), and were fairly comparable to those of base metals.

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Prediction of the Major Factors for the Analysis of the Erosion Effect on Atomic Oxygen in LEO Satellite Using a Machine Learning Method (LSTM)

  • Kim, You Gwang;Park, Eung Sik;Kim, Byung Chun;Lee, Suk Hoon;Lee, Seo Hyun
    • Journal of Aerospace System Engineering
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    • v.14 no.2
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    • pp.50-56
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    • 2020
  • In this study, we investigated whether long short-term memory (LSTM) can be used in the future to predict F10.7 index data; the F10.7 index is a space environment factor affecting atomic oxygen erosion. Based on this, we compared the prediction performances of LSTM, the Autoregressive integrated moving average (ARIMA) model (which is a traditional statistical prediction model), and the similar pattern searching method used for long-term prediction. The LSTM model yielded superior results compared to the other techniques in the prediction period starting from the max/min points, but presented inferior results in the prediction period including the inflection points. It was found that efficient learning was not achieved, owing to the lack of currently available learning data in the prediction period including the maximum points. To overcome this, we proposed a method to increase the size of the learning samples using the sunspot data and to upgrade the LSTM model.

Effects of coating material and cutting parameters on the surface roughness and cutting forces in dry turning of AISI 52100 steel

  • Keblouti, Ouahid;Boulanouar, Lakhdar;Azizi, Mohamed Walid;Yallese, Mohamed Athmane
    • Structural Engineering and Mechanics
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    • v.61 no.4
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    • pp.519-526
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    • 2017
  • In the present paper, the effects of cutting parameters and coating material on the performances of cutting tools in turning of AISI 52100 steel are discussed experimentally. A comparative study was carried out between uncoated and coated (with TiCN-TiN coating layer) cermet tools. The substrate composition and the geometry of the inserts compared were the same. A mathematical model was developed based on the Response Surface Methodology (RSM). ANOVA method was used to quantify the effect of cutting parameters on the machining surface quality and the cutting forces. The results show that feed rate has the most effect on surface quality. However, cutting depth has the significant effect on the cutting force components. The effect of coating layers on the surface quality was also studied. A lower surface roughness was observed when using PVD (TiCN-TiN) coated insert. A second order regression model was developed and a good accuracy was obtained with correlation coefficients in the range of 95% to 97%.

Biomechanical Characteristics of Hand Rim Contact Orientation During Wheelchair Propulsion: A Literature Review (표준형 휠체어 추진시 휠손잡이 촉수위치 특성에 관한 연구)

  • Kwon, Hyuk-Cheol;Kong, Jin-Yong
    • Physical Therapy Korea
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    • v.9 no.2
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    • pp.19-32
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    • 2002
  • The purpose of this paper is to provide the reader with a pertinent information and research trends of biomechanics in wheelchair propulsion. Biomechanical studies for wheelchair propulsion mainly focus on the most suitable propulsion performance and methods for preventing upper extremity injuries. Recent issues have concentrated on wheelchair propulsion style and cycle mainly because of the high prevalence of repetitive strain injuries in the upper extremely such as shoulder impingement and carpel tunnel syndrome. Optimizing wheelchair propulsion performances as well as medical reflections are presented throughout the review. Information on the underlying musculoskeletal mechanisms of wheelchair propulsion has been introduced through a combination of data collection under experimental conditions and a more fundamental mathematical modelling approach. Through a synchronized analysis of the movement pattern and muscular activity pattern, insight has been gained in the wheelchair propulsion dynamics of people with a different level of disability (various level of physical activity and functional potential). Through mathematical modelling simulation, and optimization (minimizing injury and maximizing performance), underlying musculoskeletal mechanisms during Wheelchair propulsion is investigated.

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Investigation of SLF Interruption Capability of Gas Circuit Breaker with CFD and a Mathematical Arc Model

  • Cho, Yong-Sung;Kim, Hong-Kyu;Chong, Jin-Kyo;Lee, Woo-Young
    • Journal of Electrical Engineering and Technology
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    • v.8 no.2
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    • pp.354-358
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    • 2013
  • This paper discusses the analysis of arc conductance in a gas circuit breaker (GCB) during current interruption process and the investigation method of the interruption capability. There are some limitations in the application of the computational fluid dynamics (CFD) for the implementation of an arc model around the current zero, despite the fact that it gives good results for the high-current phase arc. In this study, we improved the accuracy in the analysis of the interruption performance by attempting the method using CFD and a mathematical arc model. The arc conductance at 200 ns before current zero (G-200ns) is selected as the indicator to predict the current interruption of the Short Line Fault (SLF). Finally, the proposed method is verified by applying to the actual circuit breakers which have different interruption performances.

Computer Simulation of an Automotive Engine Cooling System (자동차 엔진 냉각시스템의 컴퓨터 시뮬레이션)

  • 원성필;윤종갑
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.4
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    • pp.58-67
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    • 2003
  • An automotive engine cooling system is closely related with overall engine performances, such as reduction of fuel consumption, decrease of air pollution, and increase of engine life. Because of complex reaction between each component, the direct experiment, using a vehicle, takes high cost, long time, and slow response to the system change. Therefore, a computer simulation would provide the designer with an inexpensive and effective tool for design, development, and optimization of the engine cooling system over a wide range of operating conditions. In this work, it has been predicted the thermal performance of the engine cooling system in cases of stationary mode, constant speed mode, and city-drive mode by mathematical modelling of each component and numerical analysis. The components are engine, radiator, heater, thermostat, water pump, and cooling fans. Since the engine model is the most important, that is divided into eight sub-sections. The volume mean temperature of eight sub-sections are simultaneously calculated at a time. For detail calculation, the radiator and heater are also divided into many sub-sections like control volumes in finite difference method. Each sub-section is assumed to consist of three parts, coolant, tube with fin, and air. Hence it has been developed the simulation program that can be used in case of design and system configuration changes. The overall performance results obtained by the program were desirable and the time-traced tendencies of the results agreed fairly well with those of actual situations.

On-line process identification and autotuning for unstable processes (불안정한 공정에 대한 온라인 공정 확인 및 자동 조절)

  • 곽희진;성수환;이인범
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.832-835
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    • 1997
  • In this paper, we first analyze the structural limitation of the conventional PID controller in controlling unstable processes through mathematical proof. To overcome this structural limitation, we add an internal feedback loop to the PID controller. Secondly, we obtain conditions when unstable processes can be stabilized by a controller through an analytical analysis. Finally, we propose a simple on-line process identification and autotuning method for unstable processes. Many simulation results show that, in spite of its simplicity, the proposed on-line process identification method provides good accuracy in modeling the unstable process and acceptable robustness to measurement noises and disturbances. Also, the proposed autotuner shows good control performances for both servo and regulatory problems.

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High Step-up DC-DC Converter by Switched Inductor and Voltage Multiplier Cell for Automotive Applications

  • Divya Navamani., J;Vijayakumar., K;Jegatheesan., R;Lavanya., A
    • Journal of Electrical Engineering and Technology
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    • v.12 no.1
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    • pp.189-197
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    • 2017
  • This paper elaborates two novel proposed topologies (type-I and type-II) of the high step-up DC-DC converter using switched inductor and voltage multiplier cell. The advantages of these proposed topologies are the less voltage stress on semiconductor devices, low device count, high power conversion efficiency, high switch utilization factor and high diode utilization factor. We analyze the Type-II topologies operating principle and mathematical analysis in detail in continuous conduction mode. High-intensity discharge lamp for the automotive application can use the derived topologies. The proposed converters give better performance when compared to the existing types. Also, it is found that the proposed type-II converter has relatively higher voltage gain compared to the type-I converter. A 40 W, 12 V input voltage and 72 V output voltage has developed for the type-II converter and the performances are validated.

A Study on the Optimal Design of Urban Utility Systems (부하에 따른 도시기반 공급.처리시스템의 최적설계에 관한 연구)

  • Lee, Tae-Won;Kim, Yong-Ki
    • Proceedings of the KSME Conference
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    • 2001.06d
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    • pp.732-737
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    • 2001
  • The mathematical method was developed and numerical analyses were carried out with various parameters to provide substantial data for optimal design and operation of urban utility systems. The composition of systems and their specifications, such as co-generation system, heat pump system, incineration system and other heating and cooling system could be obtained through these analyses for various resource and energy requirements in urban area. As results the system constituents and operating characteristics, and their economic performances such as the value of objective function, initial and an operating costs were discussed for various load patterns. The effective system design method and the excepted effects of the several unused energy recovery systems were also briefly discussed with the variation of the buildings and facilities species and their capacities.

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