• Title/Summary/Keyword: 수학적 조종 모델

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An Analysis of Students' Mathematical Communication Competency focused on Fraction Division (분수의 나눗셈에 대한 초등학생의 수학적 의사소통 능력 분석)

  • Pang, Jeong Suk;Kim, Yoon Young;Sunwoo, Jin
    • Education of Primary School Mathematics
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    • v.25 no.2
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    • pp.179-195
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    • 2022
  • Mathematical communication competency, one of the six mathematical competencies emphasized in the latest mathematics curriculum, plays an important role both as a means and as a goal for students to learn mathematics. Therefore, it is meaningful to find instructional methods to improve students' mathematical communication competency and analyze their communication competency in detail. Given this background, this study analyzed 64 sixth graders' mathematical communication competency after they participated in the lessons of fraction division emphasizing mathematical communication. A written assessment for this study was developed with a focus on the four sub-elements of mathematical communication (i.e., understanding mathematical representations, developing and transforming mathematical representations, representing one's ideas, and understanding others' ideas). The results of this study showed that students could understand and represent the principle of fraction division in various mathematical representations. The students were more proficient in representing their ideas with mathematical expressions and solving them than doing with visual models. They could use appropriate mathematical terms and symbols in representing their ideas and understanding others' ideas. This paper closes with some implications on how to foster students' mathematical communication competency while teaching elementary mathematics.

Sensitivity Analysis of Hydrodynamic Derivatives on Characteristics of Manoeuvring Motion of Manta-type Unmanned Undersea Test Vehicle (Manta형 무인잠수정의 조종운동 특성에 미치는 유체력미계수의 민감도 해석에 관한 연구)

  • Bae, Jun-Young;Sohn, Kyoung-Ho
    • Journal of Navigation and Port Research
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    • v.32 no.8
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    • pp.603-609
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    • 2008
  • Manta-type Unmanned Undersea Test Vehicle(MUUTV) is based on the same design concept as Unmanned Undersea Vehicle called Manta Test Vehicle(MTV), which was originally built and operated by the Naval Undersea Warfare Center(Lisiewicz et al., 2000, Sirmalis et al. 2001). The authors carried out the sensitivity analysis of the response of manoeuvring motion of MUUTV to changes in hydrodynamic derivatives, In order to calculate the sensitivity indices of hydrodynamic derivatives on MUUTV, the method by Sen(2000) was adopted Basically the dynamic mathematical model with six degrees of freedom by Feldman(1979) is used but a little revised, refered to Sohn et al.(2006) and some experiment in circulating water channel. Through the present research, some hydrodynamic derivatives of significance are found out, and also the numerical simulation using simplified mathematical model based on result of sensitivity analysis is ascertained to be enough for prediction of manoeuvring characteristics of MUUTV.

A Study on the Automatic Control for Collision Avoidance of the Ships (선박의 충돌회피를 위한 자동제어에 관한 기초적 연구)

  • Lee, Seung-Keon;Kwon, Bae-Jun
    • Journal of Navigation and Port Research
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    • v.26 no.1
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    • pp.8-14
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    • 2002
  • The collisions of vessel at sea show high among the whole marine accidents. Especially, the accidents of fishing vessels take the largest portion of the collisions. Therefore, a technique to reduce these accidents should be developed. The automatic control for avoiding collision suggested in this study consists of two steps. The first is recognizing collision risk with fuzzy Theory and the other is maneuvering the model ship on the basis of collision risk calculated from the first step. The information form the position and estimated time of collision point(DCPA and TCPA) is used to assess the collision risk. To verify this system, a fishing vessel was simulated according to MMG mathematical model. The simulations result shows quite good application in avoiding the collision of ship.

Real-time Parallel Processing Simulator for Modeling Portable Missile System and Performance Analysis (휴대용 유도탄 체계의 모델링과 성능분석을 위한 실시간 병렬처리 시뮬레이터)

  • Kim Byeong-Moon;Jung Soon-Key
    • Journal of the Korea Society of Computer and Information
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    • v.11 no.4 s.42
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    • pp.35-45
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    • 2006
  • RIn this paper. we describe real-time parallel processing simulator developed for the use of performance analysis of rolling missiles. The real-time parallel processing simulator developed here consists of seeker emulator generating infrared image signal on aircraft, real-time computer, host computer, system unit, and actual equipments such as auto-pilot processor and seeker processor. Software is developed according to the design requirements of mathematic model, 6 degree-of-freedom module, aerodynamic module which are resided in real-time computer. and graphic user interface program resided in host computer. The real-time computer consists of six TI C-40 processors connected in parallel. The seeker emulator is designed by using analog circuits coupled with mechanical equipments. The system unit provides interface function to match impedance between the components and processes very small electrical signals. Also real launch unit of missiles is interfaced to simulator through system unit. In order to use the real-time parallel processing simulator developed here as a performance analysis equipment for rolling missiles, we perform verification test through experimental results in the field.

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An Experimental Study on the Characteristics of Propeller and Rudder in Oblique Towing Conditions (사항상태(斜航狀態)에서 프로펠러와 타(舵)의 특성(特性)에 관한 실험적 연구)

  • S.K. Lee;H.S. Kim;S.J. Kim;M.J. Song;S.H. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.4
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    • pp.66-72
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    • 1994
  • For the reliable prediction of maneuverability of a ship, lots of captive model tests have been carried out for over 10 years. But the parameters appearing in the mathematical model are so versatile and showing complex characteristics, and it is still hard to establish the useful formulae that we can adopt directly in the design stage. In this paper, the most important parameters in the mathematical model. i.e.($1-\omega_P$) the effective wake fraction at propeller, and $\delta_R(\beta_R)$), the effective rudder inflow angles are investigated by the captive model tests at the circulating water channel. The model is tested at designed speed and at low speed, and the drafts at both full load and ballast load conditions are taken. Propeller thrusts and rudder normal forces are measured at the given drift angle and propeller revolution. These forces are used for the analysis of the effective flow velocity or flow direction, to the propeller or rudder.

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Design of Electromechanical Actuator Capable of Simultaneous Control of Aerodynamic and Thrust Vector (공력과 추력방향 동시 제어가 가능한 전기식 구동장치 설계)

  • Lee, Ha Jun;Yoon, Kiwon;Song, In Seong;Park, Chang Kyoo;Lee, Young Cheol
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.48 no.1
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    • pp.35-42
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    • 2020
  • Electromechanical Actuator(EMA) for flight vehicles generally serves to control the fin deflection angle or the thrust vector angle. This paper deals with design and development of EMA for both aerodynamic control and thrust vector control. In this paper, a novel compact EMA is proposed that can simultaneously control both the tail fin and the jet vane with one actuator and detach the jet vane after vertical launch and rapid turn of the flight vehicle so as to increase efficiency during flying to target. To do this, we designed the EMA using a push-push link mechanism and derived a mathematical model. The mathematical model is validated by comparing simulation result and experimental data. The performance and reliability of the proposed EMA have been verified through performance test, environmental test and ground test. The proposed EMA is expected to be useful as an EMA for flight vehicles because of its simple and compact structure, as well as its performance and reliability.

Development of Ship Dynamics Model by Free-Running Model Tests and Regression (자유항주모형시험과 회귀분석을 통한 선체 동역학 모델의 개발)

  • Kim, Kiwon;Kim, Hoyong;Choi, Sungeun;Na, Ki-In;Lee, Hyuk;Seo, Jeonghwa
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.3
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    • pp.173-182
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    • 2022
  • The present study suggests a procedure of establishing a ship dynamics modeling by regression of free-running model test results. The hydrodynamic force and moment of the whole model ship is derived from the low-pass filtered acceleration in the turning circle and zigzag maneuver tests. Force and moment of the propeller and rudder are separated from that of the whole ship to acquire the hull force and moment terms, based on the principles of the component model. The low-pass filter frequency is verified in prior to dynamics modeling, to find the threshold frequency of 2.5 Hz. The dynamics modeling of the hull is compared with the component modeling by captive model tests. Because of strong correlation between sway velocity, yaw angular velocity, and heel angle, each maneuvering coefficient is not able to be validated, but the whole modeling shows good agreement with the captive model tests.

A Study on Automatic Control for Collision Avoidance of a Ship under Appearance of Multi-vessels (다수선박의 충돌회피를 위한 자동제어에 관한 연구)

  • Yoon Ji-Hyun;Lee Seung-Keon;Im Nam-Kyun
    • Journal of Navigation and Port Research
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    • v.29 no.1 s.97
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    • pp.29-34
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    • 2005
  • A mis-handling of the ship operators, treated as one qf the main causes of a ship accidents, normally has caused a ship to collide with obstacles like a reef, a rock and other ships etc. since their ability has been declining little by little even though the port conditions have been getting worse. The ship needs a highly sophisticated technology as her size and speed increase as the ship have been demanded. For example, Auto Avoidance Control System gradually has been receiving a growing interest to control the entire ship safely. From that purpose, this research has been done. The research was based on the MMG mathematical model, used Surge-Sway-Yaw-Roll motion equation and Fuzzy theory for calculating the collision-risk Also the research successively was done when the ship encountered continual multitude ships.