• Title/Summary/Keyword: 연속방정식

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Influence of Spring Constant at Fixed End on Stability of Beck's Column with Tip Mass (固定端 의 스프링 상수 가 末端質量을 가진 Beck′s Column 의 安定性 에 미치는 영향)

  • 윤한익;김광식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.5
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    • pp.606-612
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    • 1985
  • On the stability of the Beck's column with a tip mass, the influence of the characteristics of the springs at the fixed end of the column are studied. The equations of motion and boundary conditions of this system are established by using the Hamiton's principle. On the evaluation of the stability of the column, t he effect of the shear deformation and rotatory inertial is considered in calculation. For the maintenance of the stability of the column, it is proved that the constant of the translational spring at the fixed end must be very large while th magnitude of the constant of the rotational spring at the fixed end has no effect. When the constants of the springs at the fixed end are small, it is also proved that the influence of the moment of inertial of the tip mass on the stability of the column are decreased and for the translational spring the degree of the decrease is more and more. Therefore it is found that the characteristics of the springs at the fixed end are very effective elements for the stability of the column when the columns subjected to a compressive follower force are designed.

A Study on the Dynamic Post-Buckling Behavior of the Plane Frame Structures Subjected to Circulatory Forces (Circulatory Force를 받는 평면(平面)뼈대 구조물(構造物)의 동적(動的) 후좌굴(後座屈) 거동(擧動)에 관한 연구(硏究))

  • Kim, Moon Young;Chang, Sung Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.2
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    • pp.13-24
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    • 1988
  • A geometrically nonlinear analysis procedure for plane frame structures in order to study the static and dynamic post-buckling behavior of these structures subjected to circulatory forces is presented. The elastic and geometric stiffness matrices, the mass matrix and load correction stiffness matrix are derived from the extended virtual work principle, where the tangent stiffness matrix becomes non-symmetric due to the effects of non-conservative circulatory forces. The dynamic analysis of plane frame structures subjected to circulatory forces in pre- and post-buckling ranges is carried out by integrating the equations of motion directly by the numerically stable Newmark method. Numerical results are presented in order to demonstrate the vality and accuracy of the proposed procedure.

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Direct Solution of Structural Rigid Frames with Sidesway (절점이동(節點移動)이 있는 구조강절(構造剛節) 뼈대의 직접해법(直接解法))

  • Yang, Chang Hyun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.3
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    • pp.91-105
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    • 1992
  • For the analysis of multistory frames with sidesway, no adequate procedures can be found in the classical methods of structural analysis. Even well-known procedures such as the slope-deflection method and the moment distribution method may not be effective tools since those methods require a multiple of computational labor and/or yield results of approximate values. In this study, a direct method is developed and proposed for the analysis of multistory frames with sidesway, which is due to the lateral loads, asymmetry of the structure itself, or asymmetry of vertical loadings. The proposed method is to obtain simple forms of equations derived by a mathematical formulation of the moment distribution procedure combined with successive correction concept. Numerical illustrations show that the results obtained by the proposed method agree well with those by rigorous ones. Undoubtedly, this newly developed method can be applied more easily for the analysis of structural frames without joint translation as well as continuous beams.

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A Nonlinear Finite Element Formulation for Very Large Deformation based on Updated Material Reference Frame (변화되는 재료의 기준 물성치에 근거한 매우 큰 변화에 대한 비선형 유한요소의 정식화)

  • Yun, Young Muk;Park, Moon Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.3
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    • pp.25-37
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    • 1992
  • A nonlinear finite element formulation which has the capability of handling very large geometrical changes is presented. The formulation is based on an updated material reference frame and hence true stress-strain test can be directly applied to properly characterize properties of materials which are subjected to very large deformation. For the large deformation, a consistent formulation based on the continuum mechanics approach is derived. The kinematics is referred to an updated material frame. Body equilibrium is also established in an updated geometry and the second Piola-Kirchhoff stress and the updated Lagrangian strain tensor are used in the formulation. Numerical examples for very large deformation of framed structures and plane solids are analyzed for verification purposes. The numerical solutions are obtained by an incremental numerical procedure. The importance of handing material properties properly is also demonstrated.

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Micromechanical Model for the Consolidation Behavior in SiC-Ti Metal Matrix Composites (SiC-Ti금속기 복합재료의 강화거동에 관한 미시역학적 모델)

  • 김준완;김태원
    • Composites Research
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    • v.16 no.3
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    • pp.1-8
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    • 2003
  • Densification occurs by the inelastic flow of the matrix materials during the consolidation processes at high temperature for MMCs, and the results depend on many process conditions such as applied pressure, temperature and volume fraction of fiber and matrix materials. This is particularly important in titanium matrix composites since material failure may occur by either the applied conditions or microstructural parameters through the processes, and thus a generic model based on micro-mechanical approaches enabling the evolution of density over time to be predicted has been developed. The mode developed is then implemented into FEM so that practical process simulation has been carried out. Further the experimental investigation of the consolidation behavior of SiC/Ti-6Al-4V composites using vacuum hot pressing has been performed, and the results obtained are compared with the model predictions.

Experimental Study of Flow and Pollutant Dispersion in Meandering Channel (사행수로에서의 흐름 및 오염물질 혼합에 관한 실험적 연구)

  • Park, Sung-Won;Seo, Il-Won;Lee, Kyu-Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.883-888
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    • 2007
  • 일반적인 하천의 흐름방향으로 발생하는 주흐름(primary flow)에 중첩하여 주흐름 방향의 수직단면에 이차류(secondary flow)가 발생하게 되며 이러한 이차류의 발달은 투입된 오염물질의 횡혼합을 증대시킨다. 오염물질의 혼합은 이송(advection)과 확산(diffusion) 또는 분산(dispersion)의 과정으로 설명되며 본 연구에서는 수로전체의 혼합과정을 설명하기 위해서 이송 확산 방정식을 적용하였다. 본 연구에서는 실험수조를 $150^{\circ}$의 중심각을 갖는 S자 형태의 만곡수로를 제작하여 유량조건은 15, 30, $60\;{\ell}l/sec$의 세 가지 경우로, 수심은 15, 20, 30, 40 cm의 경우로 총 12 케이스의 실험을 수행하였다. 유속장의 측정은 Sontek사의 3차원 micro-ADV(Acoustic Doppler Velocimeter)를 이용하였다. 오염물질 확산실험은 소금물 용액에 주변수와의 밀도차를 없애기 위해서 메탄올 용액을 첨가하여 추적자로 이용하여 농도장의 분석을 일본 KENEK사의 전기전도도계(conductivity meter)와 Gartner사의 DAS(data acquisition system)를 이용하여 횡방향 유속장의 분포와 오염운의 거동을 비교하여 다음과 같은 결론을 얻게 되었다. 주 흐름은 직선구간에서는 중앙에서 최대 유속을 나타내며, 좌우대칭적인 유속분포의 모습을 보이고, 만곡부에서는 수로안쪽을 따라 최대유속이 발생하였다. 수로의 직선구간에서는 최대유속이 발생하는 즉, 중앙에서의 오염물질의 분산이 가장 활발하게 이뤄졌으며 농도의 퍼짐형상인 오염운 역시 만곡부에서는 수로만곡부의 안쪽을 따라 확산 이동함을 알 수 있었다. 만곡부 외측에서는 오염물질의 정체현상이 일시적으로 발생하며, 유속구조의 횡방향 비대칭구조로 인한 종 횡방향의 분리현상이 발생하고, 오염운의 중첩현상이 종방향으로 연속되게 나타난다. 향후 수심방향 거동을 포함한 3차원적 분석이 요구되며 이 연구결과는 2차원적 수치해석의 적용 및 분석 자료로써 이용이 가능하다.

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다중 효용관 기계식 증기 재압축 증발기설계

  • 박종기;김권일;김태환;김종휘;유윤종;조성철;성재석
    • Proceedings of the Korea Society for Energy Engineering kosee Conference
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    • 1995.11a
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    • pp.115-115
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    • 1995
  • 다중 효용관식 증발기는 보통의 증발기에서 응축하여 제거하는 증기를 다음 효용관의 가열원으로 재사용하는 것으로 그 자체로도 에너지 절감효과가 있는 것으로 알려져 있다[1,2,4]. 기계식증기 재압축 증발기는 보통 증발기에서 응축시켜 제거하는 발생 증기를 압축하여 고온의 증기로 만든 다음 가열원으로 재이용하는 장치로 이에 대한 효용은 문헌에 잘 나타나있다[3,4]. 여기서는 다중효용관과 증기 재압축기를 조합한 증발기 중에서 Forward feed 방식의 다중효응관에 증기 재압축기를 부착한 경우에 대하여 타당한 물질수지, 열수지, 전열 식, 상평형식을 소개하였다. 또한 압축기의 용량을 결정하기 위한 단열압축공정의 지배방정 식을 소개하였다. 원료의 조건, 효용관의 수 및 총전열온도차가 주어지면 상기의 지배방정식의 해를 구할 수 있는데. 본연구에서는 Gauss-Seidel의 연속치환법을 이용하였다. 이와 같이 지배방적식의 해를 구하면 효용관의 면적, 압축펌프의 용량, 각효용관 입출구의 조건 등이 계산된다. 다중효용관 기계식 증기 재압축 증발장치의 최적화를 위하여는 효용관의 전열면적당 가격과 압축펌프의 용량당 가격 그리고 펌프를 운전하는데 필요한 전력의 요금 등의 자료가 요구된다. 총전열온도차에 따른 운전비와 시설비의 합이 최소가 되는 점이 최적 총전열온도차가 되는데 이 점을 구할 때에는 수치적으로 안정한 이분법을 이용하였다. Borland C++를 이용하여 프로그램하였으며 윈도우즈 환경에서 수행되게 하였다. 사용자 쉽게 이용할 수 있게 하기 위하여 각종 필요한 데이터를 입력할 수 있는 Edit box가 화면에 나타나게 하였다. 또한 입력된 데이터를 저장하거나 불려올 수 있는 메뉴, 입력된 데이타를 이용하여 효용관의 면적과 압축기의 용량을 계산하거나 효용관의 수가 주어졌을 때 총전열온도차를 최적화하는 것을 선택할 수 있는 메뉴 그리고 계산 결과를 파일로 혹은 프린트로 출력할 것을 선택할 수 있는 메뉴가 있다. 사용자는 해당되는 데이타를 입력한후 마우스로 원하는 작업의 메뉴를 선택하면 된다.

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Analysis for the Concept of Smooth Curve by Velocity (속도의 관점에서 매끄러운 곡선의 의미 분석)

  • Choi, Myeong-Suk;Jeong, Da-Rae;Kim, Jun-Seok
    • Journal of Educational Research in Mathematics
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    • v.22 no.1
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    • pp.23-38
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    • 2012
  • The purpose of this paper is to describe the true meaning of smooth curve and to let people understand the smooth curve by way of velocity. It is true that it is not easy for us to perceive smooth curve because when there are no cups in the curve and the shape of the curve looks smooth, we often perceive it is smooth curve. However, even when the shape of curve looks smooth, it happens that it is not smooth curve. When the particle moves on the curve, depending on the velocity, it can be smooth curve or not. That is, even though the shape looks smooth, when the velocity is discontinuous or it is 0, it is not smooth curve. Therefore, this paper shows that it is important to understand and to teach smooth curve by way of velocity. In other words, when parameter of path for the smooth curve is taught in the calculus of high school, it needs to be understood by way of velocity. Finally, this paper tries to suggest that we need to shift our paradigm in teaching of smooth curve from fixed curve to dynamic curve.

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A Study on Fouling Phenomena of in Petroleum Chemical Process (석유화학공정내에서 원유의 파울링 현상에 관한 연구)

  • Lee, Dong Rak;Ryu, Sang Ryoun;Park, Sang Jin;Cho, Wook Sang;Kim, Sang Wook
    • Applied Chemistry for Engineering
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    • v.7 no.3
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    • pp.443-452
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    • 1996
  • Fouling is caused by sedimentation and corrosion of polymer, heavy paraffine, chemicals, heavy organics, asphaltene, etc. in the entire chemical process of heat exchanger, boiler, desalter, etc. Fouling phenomena remains a serious operating problem which results in increased energy consumption, increased pressure drops, reduction or complete loss of products yield, and increased maintenance costs. In order to calculate the separated amounts of foulants and to control the fouling process, the predictive model is developed which is based on Scott & Magat polymer solution theory, Peng-Robinson EOS, BWR EOS, and continuous and multicomponent thermodynamics.

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A Study on the Development of Prediction Method of Ozone Formation for Ozone Forecast System (오존예보시스템을 위한 오존 발생량의 예측기법 개발에 관한 연구)

  • Oh, Sea Cheon;Yeo, Yeong-Koo
    • Clean Technology
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    • v.8 no.1
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    • pp.27-37
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    • 2002
  • To verify the performance and effectiveness of bilinear model for the development of ozone prediction system, the simulation experiments of the model identification for ozone formation were performed by using bilinear and linear models. And the prediction results of the ozone formation by bilinear model were compared to those of linear model and the measured data of Seoul. ARMA(Autoregressive Moving Average) model was used in the model identification. A recursive parameter estimation algorithm based on an equation error method was used to estimate parameters of model. From the results of model identification experiment, the ozone formation by bilinear model showed good agreement with the ozone formation from the simulator. From the comparison of the prediction results and the measured data, it appears that the method proposed in this work is a reasonable means of developing real-time short-term prediction of ozone formation for an ozone forecast system.

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