• Title/Summary/Keyword: mathematical model for design

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The Correlation of Satellite Thermal Mathematical Model using Results of Thermal Vacuum Test on Structure-Thermal Model (저궤도 인공위성 열-구조 모델 열진공시험 결과를 활용한 열모델 보정)

  • Lee, Jang-Joon;Kim, Hui-Kyung;Hyun, Bum-Seok
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.9
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    • pp.916-922
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    • 2009
  • Because thermal design of satellite carrying out mission in space is performed by thermal analysis result using thermal mathematical model, accuracy of thermal mathematical model is important and it can be improved by model correlation. Correlation steps of satellite thermal math model are composed of modeling of satellite configuration placed in thermal vacuum chamber, verification of correspondence between thermal math model and real satellite configuration, and adjustment of modeling parameters from major part to minor part etc. In this study, correlation success criteria was established and correlation for satellite thermal math model was performed using result of thermal vacuum test of satellite structure-thermal model to meet the success criteria. The overall results satisfied the criteria and this correlated thermal model was applied for detailed thermal design of satellite.

A-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGN WITH CORRELATED ERRORS

  • Ceranka, Bronislaw;Graczyk, Malgorzata
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.143-150
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    • 2004
  • In this paper we study the estimation problem of individual weights of objects using an A-optimal chemical balance weighing design. We assume that in this model errors are correlated and they have the same variances. The lower bound of tr$(X'G^{-1}X)^{-1}$ is obtained and a necessary and sufficient condition for this lower bound to be attained is given. There is given new construction method of A-optimal chemical balance weighing design.

Surface Model and Scattering Analysis for Realistic Game Character

  • Kim, Seongdong;Lee, Myounjae
    • Journal of Korea Game Society
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    • v.21 no.4
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    • pp.109-116
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    • 2021
  • In this paper, we considered that recently 3D game characters have been almost alike realistic expression because of a great mathematical computation and efficient techniques on GPU hardware. We presented the rendering technique and analysis for 3D game characters to simulate and render mathematical approach model from recent researches to perform the game engine for the surface reflection of lighting model. We compare our approach with the existing variant rendering techniques here using Open GL shader language on game engine. The experimental result will be provided the view-dependent visual appearance of variant and effective modeling characters for realistic expression using existing methods on the GPU for effective simulations and rendering process. Since there are many operations that are used redundantly while performing mathematical operations, the necessary functions and requirements have been to compute in advance.

Data Model for XML-Based Digitalization of Structural Design Sheets (XML 기반의 구조계산서 전자화를 위한 자료모델)

  • Jung Jong-Hyun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.483-489
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    • 2006
  • This study describes the XML -based digitalization of structural design sheets for exchange on the web. For this purpose the data model of the XML document that represents the structural design sheets for buildings, including mathematical expressions and graphics that cannot be easily exchanged on the web, is defined. Then, the prototype that facilitates the web-based exchange of the XML documents is developed and the feasibility of the results of this study is discussed.

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Robust Design of Mechanisms Using the Response Surfae Analysis (반응표면분석법을 이용한 기구의 강건설계)

  • 한형석;박태원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.743-748
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    • 1996
  • In this study a method for a robust design of mechanisms is proposed. The method used in the experimental anlysis and quqlity engineering is applied for mechanisms design. A mathematical model for a mechanism is estimated by the responese surface analysis and the robust design can be carried out. The method can be applied for mechanisms generally. Furthermore because the method can be used in the design stage using the computer model, improved quality and lower cost of the product is achieved even in the design stage.

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Mathematical Modeling for Dynamic Performance Analysis and Controller Design of Manta-type UUV (만타형상 무인잠수정의 운동성능 해석 및 제어기 설계를 위한 비선형 수학모델 개발)

  • Byun, Seung-Woo;Kim, Joon-Young
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.1
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    • pp.21-28
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    • 2010
  • This paper describes the mathematical model and controller design for Manta-type Unmanned Underwater Test Vehicle (MUUTV) with 6 DOF nonlinear dynamic equations. The mathematical model contains hydrodynamic forces and moments expressed in terms of a set of hydrodynamic coefficients which were obtained through the PMM (Planar Motion Mechanism) test. Based on the 6 DOF dynamic equations, numerical simulations have been performed to analyze the dynamic performances of the MUUTV. In addition, using the mathematical model PID and sliding mode controller are constructed for the diving and steering maneuver. Simulation results show that the control performances of the MUUTV and compared with these of NPS (Naval Postgraduate School) AUV II.

Optimal Hierarchical Design Methodology for AESA Radar Operating Modes of a Fighter (전투기 AESA 레이더 운용모드의 최적 계층구조 설계 방법론)

  • Heungseob Kim;Sungho Kim;Wooseok Jang;Hyeonju Seol
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.46 no.4
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    • pp.281-293
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    • 2023
  • This study addresses the optimal design methodology for switching between active electronically scanned array (AESA) radar operating modes to easily select the necessary information to reduce pilots' cognitive load and physical workload in situations where diverse and complex information is continuously provided. This study presents a procedure for defining a hidden Markov chain model (HMM) for modeling operating mode changes based on time series data on the operating modes of the AESA radar used by pilots while performing mission scenarios with inherent uncertainty. Furthermore, based on a transition probability matrix (TPM) of the HMM, this study presents a mathematical programming model for proposing the optimal structural design of AESA radar operating modes considering the manipulation method of a hands on throttle-and-stick (HOTAS). Fighter pilots select and activate the menu key for an AESA radar operation mode by manipulating the HOTAS's rotary and toggle controllers. Therefore, this study presents an optimization problem to propose the optimal structural design of the menu keys so that the pilot can easily change the menu keys to suit the operational environment.

An Analysis of Mathematical Modeling Process and Mathematical Reasoning Ability by Group Organization Method (모둠 구성에 따른 수학적 모델링 과정 수행 및 수학적 추론 능력 분석)

  • An, IhnKyoung;Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.497-516
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    • 2018
  • The purpose of this study is to compare the process of mathematical modeling in mathematical modeling class according to group organization, and to investigate whether it shows improvement in mathematical reasoning ability. A total of 24 classes with 3 mathematical modeling activities were designed to investigate the research problem. The result of this study showed that the heterogeneous groups performed better than the homogeneous groups in terms of both the performance ability of mathematical modeling and mathematical reasoning ability. This study implies that, with respect to group design for applying mathematical modeling in teaching mathematics, heterogeneous group design would be more efficient than homogeneous group design.

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A Study on the Development of Mathematical Model of Three-stage Flow Control Valve

  • Khan, Haroon Ahmad;Kang, Chang Nam;Yun, So Nam
    • Journal of Drive and Control
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    • v.15 no.2
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    • pp.38-45
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    • 2018
  • In this study, the theory of fluid mechanics and dynamics is used to build a mathematical model for a three-stage flow control valve. The significance of the study is that the mathematical model can easily be used to study the effect of different design parameters on the performance of the valve. The geometry of the valve and the properties of the fluid were used in this study to determine the variation in the performance of the valve when varying the magnetic force on the pilot spool. While a linearization technique is not used to solve the developed model, the solution of the mathematical model is found in the time domain by simulation of the equations using a software package. The results indicate that if the developed mathematical model is solved for the different values of magnetic force, the valve behaves linearly; the valve is thus called the proportional flow control valve.

Mathematical modeling study for the stagnation pressure control system of the blow-down type wind tunnel (불어내기식 풍동의 정체실 압력제어 시스템 모델링)

  • 김영준;권정태
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.206-211
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    • 1992
  • A mathematical model of the blow-down type wind tunnel is developed in order to design the controller which controls the stagnation pressure being used to obtain the setpoint Mach Number. The motion of compressible fluids in the tunnel is modeled using the one-dimensional gasdynamics. The time responses of the wind tunnel states, such as pressures, mass flow rates, and valve open area, are investigated by digital computer simulation. By the simulation study it is shown that the real blow-down wind tunnel can be simulated by the obtained mathematical model.

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