• Title/Summary/Keyword: mathematical modeling

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A Study on Modelling and Tracking Control System Design of RTGC(Rubber-Tired Gantry Crane) (RTGC의 모델링 및 주행제어기 설계에 관한 연구)

  • Jeong, Ji-Hyun;Lee, Dong-Seok;Jeong, Jeong-Soon;Kim, Young-Bok
    • Journal of Navigation and Port Research
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    • v.34 no.6
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    • pp.479-485
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    • 2010
  • To handle container effectively is one of the most important factors in a port because working time is linked soon into cost. Since the middle of 1990s, RMGC(Rail-Mounted Gantry Crane) and RTGC(Rubber-Tired Gantry Crane) have been developed and widely used to operate containers in the yard. The RTGC is more difficult than RMGC in the automatic control system design. Although, the RTGC is largely advantaged to free driving environment, it has some considerable disadvantages in the system operating. In general, the problems are due to tire slip and lack of tire pressure etc. Therefore, a desirable research result has not been shown in this time. So, in this paper, we propose a new approach to design tracking control system for the RTGC in which the mathematical modeling is included. From the simulation results, the control performance of the designed control systems is evaluated.

Dynamic Modeling of Cooling System Thermal Management for Automotive PEMFC Application (자동차용 연료전지 냉각계통 열관리 동적 모사)

  • Han, Jae Young;Lee, Kang Hun;Yu, Sang Seok
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.12
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    • pp.1185-1192
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    • 2012
  • The typical operating temperature of an automotive fuel cell is lower than that of an internal combustion engine, which necessitates a refined strategy for thermal management. In particular, the performance of the cooling module has to be higher for a fuel cell system because the temperature difference between the fuel cell and the surrounding is lower than in the case of the internal combustion engine. Even though the cooling system of an automotive fuel cell determines the operating temperature and temperature distribution of the fuel cell, it has attracted little research attention. This study presents the mathematical model of a cooling system for an automotive fuel cell system using Matlab/$Simulink^{(R)}$. In particular, a radiator model is developed for design optimization from the development stage to the operating stage for an automotive fuel cell. The cooling system model comprises a fan, pump, and radiator. The pump and fan model have an empirical relation, and the dynamics of the pump and fan are only explained by motor dynamics. The basic design study was conducted, and the geometric setup of the radiator was investigated. When the control logic was applied, the pump senses the coolant inlet temperature and the fan senses the coolant out temperature. Additionally, the cooling module is integrated with the fuel cell system model so that the performance of the cooling module can be investigated under realistic operating conditions.

Development of Connection Model based on FE Analysis to Ensure Stability of Steel Storage Racks (적재설비 안정성 확보를 위한 FE 해석 기반의 연결부 모델 개발)

  • Heo, Gwanghee;Kim, Chunggil;Yu, Darly;Jeon, Jongsu;Lee, Chinok
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.38 no.2
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    • pp.349-356
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    • 2018
  • This paper attempts to develop a connection model based on FE analysis that can be applied to the evaluation of earthquake fragility of Steel Storage Racks lacking research in Korea. In order to accomplish this goal, shaking table tests, modal tests, and various member tests (8 case, push-over test) for structural members have been conducted to understand the behavior of steel storage racks. Based on the experimental results, detailed modeling of the joints was conducted using the NX-Nastran program in order to develop a connection model for Steel storage racks to be applied to the seismic vulnerability assessment. Especially, surface to surface contact element and spring element are applied to simulate the connection between the column member and the beam member connected by the simple latch method. Spring element model developed and applied ARX (Auto Regressive eXogenous) based mathematical model. The simulation results based on the FE model showed excellent reliability with a mutual error rate of less than 8% when compared with the member test results. As a result, it was confirmed that the FE model based connection model developed in the study can be applied to the analytical model for the seismic vulnerability assessment of Steel storage racks.

A Longitudinal Study on the Effect of Participation in Private Education on Mathematics Achievement : For Elementary and Junior High School Students (사교육 참여가 수학 학업성취도에 미치는 영향에 대한 종단연구 : 초·중학생을 대상으로)

  • Kim, YongSeok
    • Education of Primary School Mathematics
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    • v.23 no.4
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    • pp.207-227
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    • 2020
  • The demand for private education in Korea is steadily increasing every year, and the participation rate of private education is increasing as the grade goes down. In order to empirically verify the effectiveness of private education, it is necessary to analyze through longitudinal data that has been mainly investigated over a long period of time. This study investigated the longitudinal changes in mathematics academic achievement and participation time in mathematics private education using longitudinal data from 2013 (4th grade in elementary school) to 2017 (2nd grade in middle school) of the Seoul Education Longitudinal Study. The students were divided into groups in which mathematics academic achievement changed similarly as the grade went up, and the effect of mathematics academic achievement was examined according to the change of participation time in private mathematics education for each group. As a result of the study, it was found that the participation time of private math education of all students continuously increased from the 5th grade of elementary school to the 2nd grade of middle school, and the participation time of private math education by group was different. In addition, the effect of private tutoring by group was different according to the group.

Application model research on visualizing anti-inflammation effects by using the virtual cell (가상세포를 활용한 항염증 효능 응용모델 연구)

  • Kim, Chul;Yea, Sang-Jun;Kim, Jin-Hyun;Kim, Sang-Kyun;Jang, Hyun-Chul;Kim, An-Na;Nam, Ky-Youb;Song, Mi-Young
    • Herbal Formula Science
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    • v.18 no.2
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    • pp.227-239
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    • 2010
  • Objective : The purpose of this study was to develop the simulator which can analyze the anti-inflammatory effects of herbs based on e-cell, or the virtual cell. Method : We have ensured the medical herbs and its active compounds by investigating the oriental medicine records and NBCI(Biomedicine database). Also we have developed the web-based search system for confirming database related to anti-inflammation. We have researched the cell signal pathway related with inflammatory response control and established the mathematical model of herb interaction on selected signal pathway in e-cell. Finally we have developed the prototype which can confirm the result of this model visibly. Results : We constructed the database of 62 cases of anti-inflammatory active compounds in 61 cases of medical herbs which have been known anti-inflammation effects in the paper, 16 cases of inflammatory factors, 10 cases of signal pathways related with inflammatory response and 6,834 cases of URL(Uniform Resource Locator) of referenced papers. And we embodied the web-based research system, which can research this database. User can search basic and detailed information of medical plants related with anti-inflammatory by using information system. And user can acquire information on an active compounds, a signal pathway and a link URL of related paper. Among investigated ten pathways, we selected NF-${\kappa}B$, which plays important role in activation of immune system, and we searched the mechanisms of actions of proteins which could be components of this pathway. We reduced total network into IKK-$I{\kappa}B$ - NF-${\kappa}B$, and completed mathematic modeling by using ordinary differential equations and response variables of $I{\kappa}B-NF-{\kappa}B$ signaling model network which is suggested by Baltimore Group. We designed OED(Ordinary Differential Equation) for response of IKK, $I{\kappa}B$, $NF-{\kappa}B$ in e-cell's cytoplasm and nucleus, and measured whether an active compound of medicinal plants which is inputted by an user would have a anti-inflammation effects in obedience to change in concentration over time. The proposed model was verified by using experimental results of the papers which are listed on NCBI.

An Array-Type RGB Sensor for Precision Measurement of pH

  • Kim, Ji-Sun;Oh, Han-Byeol;Kim, A-Hee;Kim, Jun-Sik;Lee, Eun-Suk;Goh, Bong-Jun;Choi, Ju-Hyeon;Shin, Ye-Ji;Baek, Jin-Young;Lee, Ki Sung;Jun, Jae-Hoon
    • Journal of the Optical Society of Korea
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    • v.19 no.6
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    • pp.700-704
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    • 2015
  • As pH is a widely used index in chemical, medical, and environmental applications, research on pH sensors has been active in recent years. This study obtained RGB values by measuring the reflected light from a liquid sample to detect fine changes in pH, and performed mathematical modeling to investigate the relationship between the detected optical signal and pH value. Also, the trends in pH changes were easily identified by analyzing RGB values and displaying them in the color coordinate for easy visualization of data. This method implemented a user-friendly system that can measure and analyze in real time. This system can be used in many fields such as genetic engineering, environmental engineering, and clinical engineering, because it not only can measure pH but also replaces a colorimeter or turbidimeter.

Dynamic Position Control Method for the Buffer Unit of a Deepsea Mining System (해석심해자원개발용 버퍼의 동적위치제어기법)

  • Kim, Ki-Hun;Choi, Hang-S.;Hong, Sup
    • Journal of the Society of Naval Architects of Korea
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    • v.39 no.3
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    • pp.57-63
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    • 2002
  • This paper describes a control algorithm for the buffer of a deep-sea mining system, in which the buffer is connected to a long slender pipe and then to a surface ship on one end, and to a collector on sea floor through a flexible hose on the other end. A mathematical modeling is established for designing the controller for buffer thrusters, in which the dynamic response of the long pipe is taken into account based on the mode superposition method. The fluid loading acting on the pipe is estimated by using Morison's formula. For simplicity, the surface ship is assumed to be kept stationary, the reaction from the flexible hose is ignored and only the lateral motions are considered. In order to guide the buffer to react only to the low-frequency motion of the surface vessel, the FIR digital filter is introduced to a PID-based controller It can be shown numerically that the high frequency component of the ship's motion can be effectively filtered out by using the FIR low pass filter.

Fracture Simulation of UHPFRC Girder with the Interface Type Model (경계형 모델을 사용한 초고강도 섬유보강 콘크리트거더의 파괴역학적 해석)

  • Guo, Yi-Hong;Han, Sang-Mook
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.1
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    • pp.81-94
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    • 2010
  • This paper deals with the fracture simulation of UHPFRC girder with the interface type model. Based on the existing numerical simulation of quasi-brittle fracture in normal strength concrete, constitutive modeling for UHPFRC I-girder has been improved by including a tensile hardening at the failure surface. The finite element formulation is based on a triangular unit, constructed from constant strain triangles, with nodes along its sides and neither at the vertex nor the center of the unit. Fracture is simulated through a hardening/softening fracture constitutive law in tension, a softening fracture constitutive law in shear as well as in compression at the boundary nodes, with the material within the triangular unit remaining linear elastic. LCP is used to formulate the path-dependent hardening-softening behavior in non-holonomic rate form and a mathematical programming algorithm is employed to solve the LCP. The piece-wise linear inelastic yielding-failure/failure surface is modeled with two compressive caps, two Mohr-Coulomb failure surfaces, a tensile yielding surface and a tensile failure surface. The comparison between test results and numerical results indicates this method effectively simulates the deformation and failure of specimen.

Mathematical modeling of growth of Escherichia coli strain RC-4-D isolated from red kohlrabi sprout seeds (적콜라비 새싹채소 종자에서 분리한 Escherichia coli strain RC-4-D의 생장예측모델)

  • Choi, Soo Yeon;Ryu, Sang Don;Park, Byeong-Yong;Kim, Se-Ri;Kim, Hyun-Ju;Lee, Seungdon;Kim, Won-Il
    • Food Science and Preservation
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    • v.24 no.6
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    • pp.778-785
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    • 2017
  • This study was conducted to develop a predictive model for the growth of Escherichia coli strain RC-4-D isolated from red kohlrabi sprout seeds. We collected E. coli kinetic growth data during red kohlrabi seed sprouting under isothermal conditions (10, 15, 20, 25, and $30^{\circ}C$). Baranyi model was used as a primary order model for growth data. The maximum growth rate (${\mu}max$) and lag-phase duration (LPD) for each temperature (except for $10^{\circ}C$ LPD) were determined. Three kinds of secondary models (suboptimal Ratkowsky square-root, Huang model, and Arrhenius-type model) were compared to elucidate the influence of temperature on E. coli growth rate. The model performance measures for three secondary models showed that the suboptimal Huang square-root model was more suitable in the accuracy (1.223) and the suboptimal Ratkowsky square-root model was less in the bias (0.999), respectively. Among three secondary order model used in this study, the suboptimal Ratkowsky square-root model showed best fit for the secondary model for describing the effect of temperature. This model can be utilized to predict E. coli behavior in red kohlrabi sprout production and to conduct microbial risk assessments.

Design of a Low Noise 6-Axis Inertial Sensor IC for Mobile Devices (모바일용 저잡음 6축 관성센서 IC의 설계)

  • Kim, Chang Hyun;Chung, Jong-Moon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.40 no.2
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    • pp.397-407
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    • 2015
  • In this paper, we designed 1 chip IC for 3-axis gyroscope and 3-axis accelerometer used for various IoT/M2M mobile devices such as smartphone, wearable device and etc. We especially focused on analysis of gyroscope noise and proposed new architecture for removing various noise generated by gyroscope MEMS and IC. Gyroscope, accelerometer and geo-magnetic sensors are usually used to detect user motion or to estimate moving distance, direction and relative position. It is very important element to designing a low noise IC because very small amount of noise may be accumulated and affect the estimated position or direction. We made a mathematical model of a gyroscope sensor, analyzed the frequency characteristics of MEMS and circuit, designed a low noise, compact and low power 1 chip 6-axis inertial sensor IC including 3-axis gyroscope and 3-axis accelerometer. As a result, designed IC has 0.01dps/${\sqrt{Hz}}$ of gyroscope sensor noise density.