• Title/Summary/Keyword: mathematical model development

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Prediction of Steady-state Strip Profile during Hot Rolling - PartⅡ: Development of a Mathematical Model (열연 공정 정상상태 판 프로파일 예측 - PartⅡ: 수식 모델 개발)

  • Lee, J. S.;Hwang, S. M.
    • Transactions of Materials Processing
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    • v.25 no.1
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    • pp.61-66
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    • 2016
  • In the current study, we present a new model for the prediction of the strip profile and the residual stresses. This new approach is an analytical model that predicts the residual stresses from the effect of post-deformation. Since the residual stress cannot exceed the yield strength of the material, post-yielding may possibly occur in the post-deformation zone prior to the strip reaching the steady-state zone. The prediction accuracy of the proposed model is examined through comparison with the predictions from 3-D finite element (FE) simulations.

Modeling and Analysis of a Gas Sweeping Process for Polycarbonate Polymerization

  • Kim, Dae-Hyung;Ha, Kyoung-Su;Rhee, Hyun-Ku;Song, Kwnag-Ho
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.100.3-100
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    • 2001
  • This article deals with the development of a mathematical model for the finishing polycarbonate polymerization process using a horizontal rotating disk-ring reactor with counter-current gas sweeping and the performance analysis of the reactor system by using the model. Here we intend to propose a model describing the reactor system consisting of two phases, in which by-product phenol is removed from the polymer of high molecular weight compatible with the products of commercial grades. The vapor phase is represented by a tanks-ln-series model while the polymer melt phase is regarded as a plug flow reactor.

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2-Dimensional Model Development for Water Quality Prediction

  • Paik, Do-Hyeon
    • Journal of Environmental Health Sciences
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    • v.31 no.6
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    • pp.489-497
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    • 2005
  • A numerical method for the mathematical water modeling in 2-dimensional flow has been developed. The model based on a split operator technique, in which, the advection term is calculated using the upwind scheme. The diffusion term is one- dimensionalized and calculated using Crank-Nicholson's implicit finite difference scheme to reduce the numerical errors from large time steps and variable spacings. It also provides a relatively simple and economic method for more accurate simulation of pollutant dispersion. Water depths and flow velocities in the Boreyong reservoir during the normal water periods were predicted by numerical experiments with a 2-dimensional flow model so as to provide current field data for the study of advection and diffusion of pollutants. Developed 2-dimensional water quality model is applied to Boreyong reservoir to simulate a spatial and periodical changes of water quality.

Mathematical Model Development of Whole-body Vertical Vibration, Using a Simulated Annealing Method (Simulated Annealing 기법을 이용한 인체 수직 전신 진동 모델의 파라미터 선정)

  • Choi, Jun-Hee;Kim, Young-Eun;Baek, Kwang-Hyun
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.381-386
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    • 2000
  • Simple spring-damper-mass models have been widely used to understand whole-body vertical biodynamic response characteristics of the seated vehicle driver. However, most previous models have not considered about the non-rigid masses(wobbling masses). A simple mechanical model of seated human body developed in this study included the torso represented by a rigid and a wobbling mass. Within the 0.5-20Hz frequency range and for excitation amplitudes maintained below $5ms^{-2}$, this 4-degree-of-freedom driver model is proposed to satisfy the measured vertical vibration response characteristics defined from a synthesis of published data for subjects seated erect without backrest support. The parameters are identified by using the combinatorial optimization technique, simulated annealing method. The model response was found to be provided a closer agreement with the response characteristics than previously published models.

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Development of a Mathematical Model for Effect of Scoliosis Surgical Correction (구조해석을 통한 척추측만증 교정 분석에 필요한 모델 개발)

  • 김영은;최형연;손창규;이광희;이춘기
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.1059-1061
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    • 2002
  • A FE model is to develop a personalized biomechanical model of the scoliotic spine that will allow the design of clinical test providing optimal estimation of the post-operation results. A flexible multi-body model of the spine including rib cage, clavicle, and scapular was developed to simulate several mobility simulations. Vertebrae, clavicle and scapular were represented using rigid bodies and ribs and sternum were modeled as flexible bodies. Kinematical Joints and spring elements were used to represent the intervertebral disc and ligaments respectively. Postero-anterior and lateral radiographics of a scoliotic spine were used to represent a 3D reconstruction. CT data for same patient were also used to verify vertebrae rotation driven from postero-anterior and lateral radiographic images. Simulated results showed good reducibility almost uniformly distributed along the spinal segments. It was also found that boundary and loading conditions, required to mimic the operation procedures, were proven to be very sensitive parameters to its results rather than its mechanical properties

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An Optimal Surveillance Units Assignment Model Using Integer Programming (정수계획법을 이용한 최적 감시장비 배치모형에 관한 연구)

  • 서성철;정규련
    • Journal of the military operations research society of Korea
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    • v.23 no.1
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    • pp.14-24
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    • 1997
  • This study is to develop an optimal surveillance units assignment model in order to obtain the maximized surveillance efficiency with the limited surveillance units. There are many mathematical models which deal with problems to assign weapons such as aircrafts, missiles and guns to targets. These models minimize the lost required to attack, the threat forecast from the enemy, or both of them. However, a problem of the efficient assignment of surveillance units is not studied yet, nevertbless it is important in the battlefield surveillance system. This paper is concerned with the development of the optimal surveillance units assignment model using integer programming. An optimal integer solution of the model can be obtained by using linear programming and branch and bound method.

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Development of a Model for Fluid Analysis of Water Jet Using Automatic Javan(Salted-dry Seaweeds) Dryer Machine (전자동 자반건조기 제작에 이용할 Water Jet의 유동해석 모델)

  • Kim, Ill-Soo;Park, Chang-Eun;Jeung, Young-Jae;Son, Joon-Sik;Nam, Ki-Woo
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.7 no.5
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    • pp.53-58
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    • 1998
  • This paper concentrates on the development of a computational design program to determine nozzle size in water jet, combing the numerical optimization technique with the flow analysis code. To achieve the above objective, a two-dimensional model was developed for investigating the fluid flow in water jet and calculating the velocity and pressure distributions. The mathematical formulation as a standard ${k}-\varepsilon$ model was solved employing a general thermo fluid-mechanics computer program, PHOENICS code, which is based on the Semi-Implicit Method Pressure Linked Equations(SIMPLE) algorithm. The developed code was applied to water jet design to determine the nozzle size, and investigated the effect of the change of nozzle location. Calculated results showed that the flow pattern is not changed as the change of nozzle location.

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A Heuristic Approach to Budget-Mix Problems (여산믹스문제를 위한 발견적접근)

  • Lee Jae-Kwan
    • Journal of the military operations research society of Korea
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    • v.6 no.1
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    • pp.93-101
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    • 1980
  • An effectively designed budget system in the poor resources environment necessarily has three design criteria : (i) to be both planning-oriented and control-oriented, (ii) to be both rationalistic and realistic, (iii) to be sensitive to the variations of resources environment. PPB system is an extreme (planning-oriented and rationalistic) and conventional OEB/OUB system is the other extreme (control-oriented and incrementalistic). Generally, the merits of rationalism are limited because of the infeasibility of applications. Hence, mixtures of the two extremes such as MBO, ZBB, and RZBB have been examined and applied during the last decade. The classical mathematical models of capital budgeting are the starting points of the development of the Budget-Mix Model introduced in this paper. They are modified by the followings: (i) technological-resource constraints, (ii) bounded-variable constraint, (iii) the exchange rules. Special emphasis is laid on the above (iii), because we need more efficient interresource exchanges in the budget-mix process. The Budget-Mix Model is not based on optimization, but a heuristic approach which assures a satisficing solution. And the application fields of this model range between the incremental Nonzero-Base Budgeting and the rational Zero-Base Budgeting. In this thesis, the author suggests 'the budget- mix concept' and a budget-mix model. Budget-mix is a decision process of making program-mix and resource-mix together. For keeping this concept in the existing organization realistic, we need the development of quantitative models describing budget-mix situations.

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A Study on Development of Laptop-Based Pilots' Ship-Handling Simulation Software

  • Jeong, Tae-Gwoen;Chen, Chao;Lee, Shin-Geol;Lee, Jeong-Jin;Huh, Yong-Bum
    • Journal of Navigation and Port Research
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    • v.36 no.7
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    • pp.571-575
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    • 2012
  • Berthing and unberthing maneuver is essential work for marine pilots and securing the safety against risks during the maneuver is more important than anything else. Moreover, the maneuvering environment in ports and harbors has changed rapidly and got worse due to development of a new port, the advent of a new type or large-sized ship, and the rapid increase in harbor traffic. As one of measures taken to cope with such changes in the maneuvering environment and for each pilot to improve his own maneuvering ability, this paper developed laptop-based ship-handling simulator which is readily available anytime and anywhere. This paper is to develop a conning display for ship's maneuvering and electronic chart based display widely used nowadays to represent a model ship's movement. The displays were arranged appropriately considering pilot age, easy handling by mouse, using a maximum screen, proper arrangement of rudder, engine, thruster, tug etc and representation of information. Up to now thirteen (13) model ships were developed based on real-ship, whose mathematical model is Japanese MMG & pilots' low speed maneuver.

Effects of Misalignment of High Speed Flexible Coupling on the Fighter Aircraft Transmission Characteristics

  • Samikkanu, Nagesh;Basha, Abu Muhammed Junaid
    • International Journal of Fluid Machinery and Systems
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    • v.5 no.2
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    • pp.91-99
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    • 2012
  • The Fighter aircraft transmission system consists of a light weight, High Speed Flexible Coupling (HSFC) known as Power Take-Off shaft (PTO) for connecting Engine gearbox (EGB) with Accessory Gear Box (AGB). The HSFC transmits the power through series of specially contoured metallic annular thin flexible plates whose planes are normal to the torque axis. The HSFC operates at high speed ranging from 10,000 to 18,000 rpm. The HSFC is also catered for accommodating larger lateral and axial misalignment resulting from differential thermal expansion of the aircraft engine and mounting arrangement. The contoured titanium alloy flexible plates are designed with a thin cross sectional profile to accommodate axial and parallel misalignment by the elastic material flexure. This paper investigates the effect of misalignment on the transmission characteristics of the HSFC couplings. A mathematical model for the HSFC coupling with misalignment has been developed for analyzing the torque transmission and force interaction characteristics. An extensive testing has been conducted for validating characteristics of the designed coupling under various misalignment conditions. With this the suitability of the model adapted for the design iteration of HSFC development is validated. This method will reduce the design iteration cycles of HSFC and can be extended for the similar development of flexible couplings.