• 제목/요약/키워드: mathematical resistance

검색결과 183건 처리시간 0.019초

Development of a predictive model of the limiting current density of an electrodialysis process using response surface methodology

  • Ali, Mourad Ben Sik;Hamrouni, Bechir
    • Membrane and Water Treatment
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    • 제7권2호
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    • pp.127-141
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    • 2016
  • Electrodialysis (ED) is known to be a useful membrane process for desalination, concentration, separation, and purification in many fields. In this process, it is desirable to work at high current density in order to achieve fast desalination with the lowest possible effective membrane area. In practice, however, operating currents are restricted by the occurrence of concentration polarization phenomena. Many studies showed the occurrence of a limiting current density (LCD). The limiting current density in the electrodialysis process is an important parameter which determines the electrical resistance and the current utilization. Therefore, its reliable determination is required for designing an efficient electrodialysis plant. The purpose of this study is the development of a predictive model of the limiting current density in an electrodialysis process using response surface methodology (RSM). A two-factor central composite design (CCD) of RSM was used to analyze the effect of operation conditions (the initial salt concentration (C) and the linear flow velocity of solution to be treated (u)) on the limiting current density and to establish a regression model. All experiments were carried out on synthetic brackish water solutions using a laboratory scale electrodialysis cell. The limiting current density for each experiment was determined using the Cowan-Brown method. A suitable regression model for predicting LCD within the ranges of variables used was developed based on experimental results. The proposed mathematical quadratic model was simple. Its quality was evaluated by regression analysis and by the Analysis Of Variance, popularly known as the ANOVA.

디메틸테레프탈레이트와 1,4-부탄디올의 에스테르교환 반응 특성 (Transesterification Kinetics of Dimethyl Terephthalate with 1,4-Butanediol)

  • 조임표;이진홍;조상환;조민정;한명완;강경석
    • Korean Chemical Engineering Research
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    • 제51권1호
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    • pp.58-67
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    • 2013
  • PBT (polybutylene terephthalate)는 저흡수율, 치수 안정성, 내마모성 등 기계적 특성이 우수하며, 전기전자 부품, 자동차 부품, 각종 정밀 부품에 사용된다. DMT (dimethyl terephthalate)와 BD (1,4-butandiol)를 사용하여 PBT의 원료단량체인 BHBT (bis-hydroxybutyle terephthalate)를 생산하는 에스테르 교환 반응 반응에 대해 연구 하였다. 촉매로는 zinc acetate가 사용되었다. 기존의 연구에서는 반응 중 생성 메탄올이 제거되는 반회분식 반응기를 통한 kinetics 연구가 이루어져 역반응이 고려되지 않음에 따른 모델의 부정확함이 있었다. 본 연구에서는 회분식 반응기를 사용하고 반응 중 DMT와 메탄올 양을 정량하여 생성되는 MHBT (methyl hydroxylbutylene terephthalate)와 BHBT를 추정할 수 있도록 하고, 이 반응들에서 역반응들을 고려할 수 있도록 하여 보다 정확한 모델을 제안하였다. 다양한 반응속도 모델을 제시하였고, 이 모델들이 예측한 값들이 실험 데이터와 잘 일치함을 보였다.

A Study on the Influence of Nonlinearity Coefficients in Air-Bearing Spindle Parametric Vibration

  • Chernopyatov, Y.A.;Lee, C.M.;Chung, W.J.;Dolotov, K.S.
    • International Journal of Precision Engineering and Manufacturing
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    • 제6권1호
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    • pp.51-58
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    • 2005
  • The development of the high-efficiency machine-tools equipment and new cutting tool materials with high hardness, heat- and wear-resistance has opened the way to application of high-speed cutting process. The basic argument of using of high-speed cutting processes is the reduction of time and the respective increase of machining productivity. In this sense, the spindle units may be regarded as one of the most important units, directly affecting many parameters of high-speed machining efficiency. One of the possible types of spindle units for high-speed cutting is the air-bearing type. In this paper, we propose the mathematical model of the dynamic behavior of the air-bearing spindle. To provide the high-level of speed capacity and spindle rotation accuracy we need the adequate model of "spindle-bearings" system. This model should consider characteristics of the interactions between system components and environment. To find the working characteristics of spindle unit we should derive the equations of spindle axis movement under the affecting factors, and solve these equations together with equations which describe the behavior of lubricant layer in bearing (bearing stiffness equations). In this paper, the three influence coefficients are introduced, which describe the center of spindle mass displacement, angle of shaft rotation around the axes under the unit force application and that under the unit torque application. These coefficients are operated in the system of differential equations, which describes the spindle axis spatial movement. This system is solved by Runge-Kutta method. Obtained trajectories and amplitude-frequency characteristics were then compared to experimental ones. The analysis shows good agreement between theoretical and experimental results, which confirms that the proposed model of air-bearing spindle is correctis correct

Elevated temperature resistance of concrete columns with axial loading

  • Alaskar, Abdulaziz;Alyousef, Rayed;Alabduljabbar, Hisham;Alrshoudi, Fahed;Mohamed, Abdeliazim Mustafa;Jermsittiparsert, Kittisak;Ho, Lanh Si
    • Advances in concrete construction
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    • 제9권4호
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    • pp.355-365
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    • 2020
  • The influence of temperature on the material of concrete filled columns (CFCs) under axial loading has been quantitatively studied in this research. CFCs have many various advantages and disadvantages. One of the important inefficiency of classic CFCs design is the practical lack of hooped compression under the operational loads because of the fewer variables of Poisson's rate of concrete compared to steel. This is the reason why the holder tends to break away from the concrete core in elastic stage. It is also suggested to produce concrete filled steel tube columns with an initial compressed concrete core to surpass their design. Elevated temperatures have essentially reduced the strengths of steel tubes and the final capacity of CFCs exposed to fire. Thus, the computation of bearing capacity of concrete filled steel tube columns is studied here. Sometimes, the structures of concrete could be exposed to the high temperatures during altered times, accordingly, outcomes have shown a decrement in compressive-strength, then an increase with the reduction of this content. In addition, the moisture content at the minimal strength is declined with temperature rising. According to Finite Element (FE), the column performance assessment is carried out according to the axial load carrying capacities and the improvement of ductility and strength because of limitations. Self-stress could significantly develop the ultimate stiffness and capacity of concrete columns. In addition, the design equations for the ultimate capacity of concrete columns have been offered and the predictions satisfactorily agree with the numerical results. The proposed based model (FE model of PEC column) 65% aligns with the concrete exposed to high temperature. Therefore, computed solutions have represented a better perception of structural and thermal responses of CFC in fire.

중층 트롤 어구의 망구 형상 해석 (Analysis of the Net Mouth Shape for a Midwater Trawl Gear)

  • 김인진;이춘우
    • 수산해양기술연구
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    • 제35권2호
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    • pp.118-128
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    • 1999
  • 본 연구에서는 실물 어구를 이용한 해상실험을 통하여 예망 중인 어구의 망구 형상을 해석하기 위해서 예망 속도, 어구의 저항, 전개판의 간격, 망고 등을 계측ㆍ분석하였다. 또한 망구 형상을 이론적으로 계산하기 위해서 망구의 형상을 지배하는 뜸줄, 발줄 및 옆줄의 모양을 현수곡선으로 간주하고 수학모텔을 기술하여 수치해석 하였고, 이 결과를 실제 측정된 값과 비교하여 모텔의 타당성을 검토하였다. 본 실험에 대한결과를 요약하면 다음과 같다. 1. 선속의 변화에 따라 크게 변하는 요소로는 장력과 망고였고, 끌줄 길이의 변화에 민감하게 반응한 것은 어구 수심과 전개판의 간격이었다. 2. 계측된 트롤 어구의 상태량을 토대로 뜸줄 및 옆줄의 형상을 수치해석한 결과, 선속이 증가함에 따라 뜸줄 및 발줄의 폭과 옆줄의 높이는 감소하였고, 뜸풀 및 옆줄 중앙부의 처짐 정도는 증가하였다. 3. 예망속도에 따른 망고변화에 대하여 수치해석한 결과와 실제 실험에서 얻은 데이터를 비교한 결과, 비교적 양호한 결과를 얻을 수 있었다. 4. 수치해석한 결과로부터 망구의 형상을 추정한 결과, 선속이 증가함에 따라 횡축으로 긴 직사각형의 형상이 나타났으며, 횡축 및 종축 모두 크기가 감소하였다.

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화학증기침투에 의한 촉매지지체용 C/SiC 복합체 제조에 관한 수치모사 연구 (Studies on the Modeling of the Preparation of the C/SiC Composite for catalyst support by CVI)

  • 이성주;김미현;정귀영
    • Composites Research
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    • 제13권4호
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    • pp.33-41
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    • 2000
  • 본 연구에서는 촉매지지체의 내구성과 내산화성을 향상시키기 위해 활성탄소에 SiC층을 형성하는 것에 관한 수치모사가 수행되었다. 이염화이메틸규소(DDS)로부터 탄화규소를 활성탄소 기공의 내부에 침투 증착시켜 기공성 구조를 유지하면서 활성탄소에 SiC층이 형성된다. 여러 다른 증착 조건에서 모사된 탄화규소의 물성을 연구함으로써 지지체 제조의 최적 증착 조건을 결정하였다. 정상상태하의 등온 반응기 안에서 대류, 확산 및 반응을 모사하여 시간의 경과에 따른 증착량, 기공 반경, 표면적의 변화 등을 구하였다. DDS의 농도가 낮고 반응압력이 작을수록 시료 기공내에 고른 증착이 얻어졌다. 또한 기공내부 증착에서 입자외부 표면 증착으로 바뀌므로 기공직경과 표면적들이 어느 시점에서 변곡점을 갖는 것이 관찰되었다.

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Performance of steel beams at elevated temperatures under the effect of axial restraints

  • Liu, T.C.H.;Davies, J.M.
    • Steel and Composite Structures
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    • 제1권4호
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    • pp.427-440
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    • 2001
  • The growing use of unprotected or partially protected steelwork in buildings has caused a lively debate regarding the safety of this form of construction. A good deal of recent research has indicated that steel members have a substantial inherent ability to resist fire so that additional fire protection can be either reduced or eliminated completely. A performance based philosophy also extends the study into the effect of structural continuity and the performance of the whole structural totality. As part of the structural system, thermal expansion during the heating phase or contraction during the cooling phase in most beams is likely to be restrained by adjacent parts of the whole system or sub-frame assembly due to compartmentation. This has not been properly addressed before. This paper describes an experimental programme in which unprotected steel beams were tested under load while it is restrained between two columns and additional horizontal restraints with particular concern on the effect of catenary action in the beams when subjected to large deflection at very high temperature. This paper also presents a three-dimensional mathematical modelling, based on the finite element method, of the series of fire tests on the part-frame. The complete analysis starts with an evaluation of temperature distribution in the structure at various time levels. It is followed by a detail 3-D finite element analysis on its structural response as a result of the changing temperature distribution. The principal part of the analysis makes use of an existing finite element package FEAST. The effect of columns being fire-protected and the beam being axially restrained has been modelled adequately in terms of their thermal and structural responses. The consequence of the beam being restrained is that the axial force in the restrained beam starts as a compression, which increases gradually up to a point when the material has deteriorated to such a level that the beam deflects excessively. The axial compression force drops rapidly and changes into a tension force leading to a catenary action, which slows down the beam deflection from running away. Design engineers will be benefited with the consideration of the catenary action.

심혈관 시스템의 압수용체에 의한 심박동 제어의 수학적 모델링 및 시뮬레이션 (Mathematical Modeling and Simulation on the Control of Heart rate by Baroreceptor Control System in the Cardiovascular System)

  • 최병철;이승진;엄상희;남기곤;이영우;전계록
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1996년도 추계학술대회
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    • pp.80-85
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    • 1996
  • The various function of the cardiovascular system(CVS) and the dynamic characteristics on each part of human body can be acquired in the electric analog circuit model. According to the performed outcome by other researchers, viscos resistance, flow inertia, and vascular compliance in the CVS are analogous to resister, inductor, and capacitor in electric circuit, so the CVS models were represented by the electric circuit models. these approaches were to propose the suitable models interest part of body and to simulate the various characteristics on the CVS. In this paper, the electric circuit model considering the characteristics of morphologic structure is represented, the parameter values of model is sotted up, and the dynamic characteristics of the the CVS is simulated using VisSim, one of the simulation tools. The observed simulation results are similar to the cardiovascular functions of nomal adults who have no heart failure. Besides, the simulation is operated to observe the pathophysiological abnomal symptoms(for example, bleeding within a certain period). The controller by baroreceptor, which is one of controllers to control the CVS, is appended in the model. and the dynamic response characteristics and the procedure to return normal state is observed in simulation when the bleeding last within a certain period.

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10,000 lbf-in급 힌지라인 이중화 전기식 구동장치 설계 및 성능평가 (Design and Performance Test of 10,000 lbf-in Class Dual Redundant Hinge Line Electro-Mechanical Actuator System)

  • 정승호;설진운;허석행;이병호;조영기
    • 한국항공우주학회지
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    • 제47권2호
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    • pp.153-160
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    • 2019
  • 항공기용 전기식 구동장치는 유압식 구동장치에 비해 소형/경량화에 유리하고, 힌지라인 형태의 구동장치는 공기저항이 작고 스텔스 등의 특수 목적에 적합한 특징을 가지고 있다. 본 논문에서는 10,000 lbf-in급 힌지라인 이중화 전기식 구동장치의 동작성능시험을 위한 시스템 설계 내용을 기술하였다. 영구자석전동기의 자속 기준 제어와 이중화 구동기의 torque fighting을 고려한 제어기를 설계하고, 구동장치 시스템 모델을 수립하여 성능 시뮬레이션을 수행하였다. 성능시험을 수행하여 시뮬레이션 결과와 비교하였으며 목표성능 만족여부를 확인하였다.

Effect of flexural and shear stresses simultaneously for optimized design of butterfly-shaped dampers: Computational study

  • Farzampour, Alireza;Eatherton, Matthew R.;Mansouri, Iman;Hu, Jong Wan
    • Smart Structures and Systems
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    • 제23권4호
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    • pp.329-335
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    • 2019
  • Structural fuses are made up from oriented steel plates to be used to resist seismic force with shear loading resistance capabilities. The damage and excessive inelastic deformations are concentrated in structural fuses to avoid any issues for the rest of the surrounding elements. Recently developed fuse plates are designed with engineered cutouts leaving flexural or shear links with controlled yielding features. A promising type of link is proposed to align better bending strength along the length of the link with the demand moment diagram is a butterfly-shaped link. Previously, the design methodologies are purely based on the flexural stresses, or shear stresses only, which overestimate the dampers capability for resisting against the applied loadings. This study is specifically focused on the optimized design methodologies for commonly used butterfly-shaped dampers. Numerous studies have shown that the stresses are not uniformly distributed along the length of the dampers; hence, the design methodology and the effective implementation of the steel need revisions and improvements. In this study, the effect of shear and flexural stresses on the behavior of butterfly-shaped links are computationally investigated. The mathematical models based on von-Mises yielding criteria are initially developed and the optimized design methodology is proposed based on the yielding criterion. The optimized design is refined and investigated with the aid of computational investigations in the next step. The proposed design methodology meets the needs of optimized design concepts for butterfly-shaped dampers considering the uniform stress distribution and efficient use of steel.