• 제목/요약/키워드: linear stabilities

검색결과 29건 처리시간 0.023초

On Compositional Convection in Near-Eutectic Solidification System Cooled from a Bottom Boundary

  • Hwang, In Gook
    • Korean Chemical Engineering Research
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    • 제55권6호
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    • pp.868-873
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    • 2017
  • Natural convection is driven by the compositional buoyancy in solidification of a binary melt. The stabilities of convection in a growing mushy layer were analyzed here in the time-dependent solidification system of a near-eutectic melt cooled impulsively from below. The linear stability equations were transformed to self-similar forms by using the depth of the mushy layer as a length scale. In the liquid layer the stability equations are based on the propagation theory and the thermal buoyancy is neglected. The critical Rayleigh number for the mushy layer increases with decreasing the Stefan number and the Prandtl number. The critical conditions for solidification of aqueous ammonium chloride solution are discussed and compared with the results of the previous model for the liquid layer.

운동자계문제의 해석을 위한 유한요소법에 관한 연구 (Travelling Magnetic Field Problem Analyses by Finite Element Method)

  • 한필완;이주
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 A
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    • pp.76-78
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    • 1999
  • This paper presents Galerkin- and Upwind-finite element analyses solution in the travelling magnetic filed problem. The travelling magnetic field problem is subject to convective- diffusion equation. Therefore, the solution derived from Galerkin-FEM with linear interpolation function may oscillate between the adjacent nodes. A simple model with Derichlet, Noumann and periodic boundary condition respectively, have been analyzed to investigate stabilities of solutions. It is concluded that the solution of Galerkin-FEM may oscillate according to boundary condition and element type, but that of Upwind-FEM is stable regardless boundary condition.

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공기중 유기용제 측정을 위한 활성탄섬유 확산포집기와 3M 확산포집기의 시료포집효율에 대한 연구 (Sampling efficiencies of the activated carbon fiber and 3M diffusive samplers for organic vapors)

  • 변상훈;오세민;이창하
    • 한국산업보건학회지
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    • 제7권1호
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    • pp.21-31
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    • 1997
  • Toluene, n-hexane, and methyl ethyl ketone(MEK) were exposed to the activated carbon fiber(ACF) and 3M(Model 3500) diffusive samplers under low and high humidity levels. In order to evaluate these two samplers, the sampling capacity, sampling rate, reverse diffusion, and storage stability were obtained. At low humidity level($8{\pm}3%RH$), the adsorption amount of all three organic vapors to the ACF diffusive sampler showed a positive linear relationship up to 8 hours. However, at high humidity level($90{\pm}5%RH$), n-hexane and MEK maintained a positive linear relationship up to 1.5 hrs, but decreased in their adsorption amounts afterwards. On the other hand, the adsorption amount of n-hexane, MEK, and toluene to 3M diffusive sampler showed almost a positive linear relationship up to 8 hours at both humidity levels. At low humidity level, there was almost no reverse diffusion for both 3M and ACF diffusive samplers. However, when the ACF diffusive sampler was used at high humidity level, there was about 52.63% of MEK sample loss and about 92.59% of n-hexane sample loss. The storage stabilities of the ACF and 3M diffusive samplers were both relative stable except for MEK. In the case of MEK, the difference between the analysis of the organic vapor right after the sampling and that of 3 weeks later at room temperature was 45% for the ACF diffusive sampler and 18% for the 3M diffusive sampler. Since the storage stability of the samples stored in a refrigerator was relatively stable, they need to be refrigerated until the analysis is done.

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Ca+-(CO)n과 Ca+-(CO2)n (n=1,2)의 구조와 결합에너지에 대한 이론 연구 (Theoretical Study of the Structures and Binding Energies of Ca+-(CO)n and Ca+-(CO2)n (n=1,2))

  • 박길순;성은모
    • 대한화학회지
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    • 제53권3호
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    • pp.272-278
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    • 2009
  • $Ca^+-(CO)_n$,과 $Ca^+-(CO_2)_n$ (n=1,2) complex에 대한 구조와 결합 에너지를 MP2/6-311++G(2d,p) 방 법과 B3LYP/6-311++G(2d,p) 방법에 의해 계산하였고 vibrational frequencies도 계산하였다. $Ca^+-(CO)_n$의 경우 C-bonded complex와 O-bonded complex가 다 가능함을 보였고, $Ca^+-(CO)_2$에서는 선형과 $C_{2v}$ 형태가 나타남을 볼 수 있었으며 더 안정한 형태는 $C_{2v}$ 구조로 밝혀졌다. $Ca^+-(CO_2)_2$에서도 선형과 $C_{2v}$ 형태를 볼 수 있는데 이 경우는 선형이 근소한 에너지 차이로 더 안정한 것으로 나타났다.

Different Dimensional and Structural Variations in Coordination Compounds of Cadmium, Manganese and Nickel Constructed from the Ligand 2,2'-Bipyidine-3,3',6,6'-tetracarboxylic Acid (H4bptc)

  • Xiang, Jing;Yang, Tian-Tian;Fu, Lu-Lu;Luo, Ya;Wu, Jia-Shou
    • Bulletin of the Korean Chemical Society
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    • 제34권9호
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    • pp.2597-2603
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    • 2013
  • The reactions of hydrated $CdCl_2$, $MnCl_2$, and $NiCl_2$ with 2,2'-bipyidine-3,3',6,6'-tetracarboxylic acid ($H_4bptc$) afforded the mononuclear [$Cd^{II}(H_2bptc)(H_2O)_3]{\cdot}H_2O$ (1), linear $\{[Cd(H_2bptc)(H_2O)]{\cdot}3H_2O\}_n$ (2), 3-D heterobimetallic $[NaCd(Hbptc)(H_2O)]$ (3), layer $[Mn(H_2bptc)(H_2O)]_n$ (4) and a dinuclear compound $[Ni_2(H_2bptc)-(H_2O)_2]{\cdot}6H_2O$ (5). These compounds have been characterized by elemental analysis, IR, and their structures have been determined by X-ray crystallography. The thermal stabilities of 1-3 were measured by thermogravimetric analysis (TGA) and their solid state luminescence properties together with the free ligand $H_4bptc$ were investigated at room temperature.

외륜 이동로봇의 균형제어 알고리즘 (Balancing Control Algorithm for a Single-Wheeled Mobile Robot)

  • 이현탁;박희재
    • 한국생산제조학회지
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    • 제26권1호
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    • pp.144-149
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    • 2017
  • There have been lots of interest on service and entertainment robots. To ensure that robots work in harmony with humans, their stability and compactness are some of the key issues. Obviously, robots with fewer wheels occupy a smaller floor area compared to those with more wheels. In addition, robots with fewer wheels, whose posture stabilities are maintained by feedback control, are stable even under larger accelerations and/or higher locations of the center of mass. To facilitate controller design, it is assumed that both pitch and roll dynamics are decoupled. The dynamic equations of motion for the proposed robot are derived from the Euler-Lagrange equation. To obtain the optimal balancing control law, linear quadratic regulator control methods are applied to the linearized dynamic equations. Simulation and experimental results verify the effectiveness and performance of the proposed balancing control algorithm for a single-wheeled mobile robot.

운동자계 문제의 해석을 위한 유한요소법에 관한 연구 (The Study of Finite Element Method for Analyses of Travelling Magnetic Field Problem)

  • 장호성
    • 조명전기설비학회논문지
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    • 제19권4호
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    • pp.108-116
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    • 2005
  • 1계 미분항이 포함되는 미분방정식의 수치해를 구하고자 할 때 중앙차분을 사용한 유한차분법이나 Galerkin법을 사용한 유한요소법은 그 해가 매우 불안하여 요소분할을 세밀하게 하여야만 해를 얻을 수 있다. 이러한 해의 불안 정성이 일어나는 이유는 대류항의 크기가 커질수록 후류에서의 경계조건이 해의 급격한 변화를 요구하는데 수치해가 급격한 변화에 적응하지 못하기 때문이다. 이러한 문제를 해결하기 위해 1970년대부터 upwind법이 개발되어 왔다. 본 논문은 1계 미분항이 표현되는 속도기전력이 발생하는 전자계 문제를 유한요소법을 이용하여 해석할 때 발생하는 해의 진동 문제를 해결하기 위해 Heinrich에 의해 제안된 upwind법을 적용하였다.

Structural and Functional Stability of the Genetic Recombinant Plasmid pCU103 in Different Water Environments

  • Kim, Chi-Kyung;Kwak, Myoung-Ja;Lee, Sung-Gie
    • Journal of Microbiology
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    • 제34권3호
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    • pp.241-247
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    • 1996
  • The stability of the genetically engineered microorganisms and their recombinant plasmids released in natural environments has been regarded as one of the molecular ecological topics. In this study, the recombinant plasmids pCU103 in which the pcbCD genes involved in biodegradation of biphenyl and 4-chlorobiphenyl were cloned in pBluescript SK(+) vector, were examined for their structural and functional stability in different waters at 15 $^{\circ}C$ by the methods of electrophoresis, Southern hybridization, quantification with fluorescent dye, and transformation. The recombinant plamids maintained their stabilities for about 30 days in sterilized distilled water (SDW), 15 days in autoclaved creek water (AW), 25 days in filtered and autoclaved non-sterile creek water (FAW), 4 days in Luria-Bertani (LB) broth, and less than one day in filtered non-sterile creek water (FW). The covalently closed circular (CCC) form of the plasmid was decreased and open circular (OC) form was increased as a function of incubation time, and then linear (L) form was produced to be ultimately degraded out. The degradation rates of the plasmid were proportionally correlated to trophic level of the water, and the biological factor such as DNases was found to be one of the most critical factors affecting structural and functional stability of the plasmid in non-sterile natural water.

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Tetramethyldisiloxane-1,4-bis(dimethylhydroxysilyl)benzene 공중합체의 합성 및 특성 (Syntheses and Properties of Copolymers of Tetramethyldisiloxane and 1,4-Bis(dimethylhydroxysilyl)benzene)

  • 김선일;윤영재;나재운
    • 공업화학
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    • 제7권3호
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    • pp.490-495
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    • 1996
  • Organocyclosiloxane oligomer[$(R_2SiO)_n$, n=2, 3, 4, 5]와 dimethyldichlorosilane을 Pyridine N-oxide 촉매 존재하에서 개환 반응시켜 linear chlorine terminated siloxane(yields;71.2~86.5%)를 얻었다. $0^{\circ}C$에서 linear chlorine terminated siloxane과 dimethylamine을 반응시켜 amino terminated siloxane oligomer(yields;76.2~85.3%)를 얻은 후 이 화합물들과 1,4-bis(dimethylhydroxysilyl)benzene을 반응시켜 공중합체들(yields;58.0~71.0%)을 합성하였다. 이들 공중합체의 구조는 FT-IR 및 $^1H$-NMR로 확인하였으며, DSC 및 TGA thermogram을 통하여 이들 중합체들의 열적특성을 조사하였다. TGA thermogram으로부터 polymer I (n=2)의 초기분해온도는 $476^{\circ}C$로 가장 낮았고, polymer IV(n=5)가 $485^{\circ}C$로 가장 높았다. n의 수가 증가할수록 열안정성은 다소 우수한 것으로 관찰되었고, DSC thermogram에서 중합체들의 유리전이온도는 polymr IV (n=5)가 $-76^{\circ}C$로 가장 낮았으며, n의 수가 감소할수록 높게 나타났음을 알 수 있었다.

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선형 구조물의 능동 진동 제어를 위한 포화 제어기의 안정성 (Stability of Saturation Controllers for the Active Vibration Control of Linear Structures)

  • 문석준;임채욱;허영철
    • 한국지진공학회논문집
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    • 제10권6호
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    • pp.93-102
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    • 2006
  • 대형 구조물에 작용하는 큰 외력은 능동 제어 장치의 제어입력에 포화를 종종 유발한다. 그리고 구조물이 대형화될수록 질량, 강성 등의 파라미터들에 대한 정확한 값을 알기가 어려워지므로, 수학적인 모델과 실제 구조물과의 모델링 오차는 파라미터들에 대한 불확실성으로 제어기의 설계 시에 고려되어야 한다. 그러므로 건축 및 토목 구조물에 대한 능동 진동 제어 방법을 다룰 때 제어기의 안정성을 보장하기 위하여 제어입력의 포화와 계의 파라미터 불확실성을 동시에 고려한 강인 포화 제어기의 설계가 필요하다. 여기에서는 건물의 능동 진동 제어에 연구 및 적용되어진 여러 제어기들 중에서 선형 최적 제어기 LQR, 수정된 뱅뱅 제어기, 포화 슬라이딩 모드 제어기, 강인 포화 제어기의 안정성을 살펴본다. 특히 제안된 강인 포화 제어기의 필요성을 보이기 위하여 LQR, 수정된 뱅뱅 제어기, 포화 슬라이딩 모드 제어기들이 제어입력의 포화나 파라미터 불확실성이 존재하는 경우에 불안정해지는 현상들을 보인다. 2자유도 진동계에 대한 수치 예제와 능동 질량 감쇠기(AMD)를 이용한 2층 구조물에 대한 실험을 통하여 강인 포화 제어기의 강인 안정성을 보인다.