• 한국해양공학회지
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• 제15권3호
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• pp.134-141
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• 2001

An experimental method to investigate the dynamic characteristics of buoys in extreme environmental condition is established. Because the buoy model requires a resonable size for accurate experiment, the test condition in model basin that satisfies the similarity law is hardly compatible with capability of test facilities. It is suggested that the linear wave component that is unable to satisfy similarity is separated with others. The model experiment is carried out with mitigated condition for the linear wave components while others including wave drift, current and wind are keeping the similarities. Then, the result can be extrapolated to give the dynamic behavior of buoys n extreme condition because linear wave component is solely responsibly to oscillatory buoy motion and other environmental components are applied as a initial tension. The similarity for current and wind conditions is viewed as equivalence of restoring forces. The validity of proposed method is examined with different types of standard ocean buoys and it indicates that the linearity of measured characteristics is assured with a limitation of resonable distance between test and estimated wave conditions.

• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2001년도 춘계학술대회 논문집
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• pp.208-215
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• 2001

An experimental method to investigate the dynamic charasteristics of buoys in extreme environmental condition is established. Because the buoy model requires a resonable size for accurate experiment, the test condition in model basin that satisfies the similarity law is hardly met with capability of test facilities. It is suggested that the linear wave component that is unable to satisy similarity is separated with others. The model experiment can be carried out with mitigated condition for the linear wave components while others including wave drift, current and wind are keeping the similarities. Then the result is extrapolated to give the dynamic behavior of buoys in extreme condition because linear wave component is soley responsible to oscillatory buoy motion and other environmental components are applied as a initial tension. the similarity for current and wind conditions is viewed as equivalence of restoring forces. the validity of proposed method is examined with different types of standard ocean buoys and it indicates that the linearity of measured characteristics is assured with a limitation of resonable distance between test and estimated wave conditions.

• Geomechanics and Engineering
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• 제25권4호
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• pp.303-315
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• 2021

A rigorous and generic similarity solution is developed for assessment of the undrained expansion responses of a cylindrical cavity expansion in K₀-consolidated anisotropic soils. A K₀-consolidated anisotropic modified Cam-clay (K₀-AMCC) model that can represent the initial stress anisotropy and the effects of stress-induced anisotropy is used to model the soil behaviors during cavity expansion. All the seven basic unknowns, the three stress components, the pore water pressure, the particle velocity, the specific volume and the hardening parameter, are reduced to the functions of a dimensionless radial coordinate and are taken as coupled variables to formulate the problem. The governing equations are formulated by making use of the equilibrium equation, the constitutive equation, the consistency condition, the continuity condition and the undrained condition, which are then solved as an initial value problem. The proposed rigorous similarity solution is compared with some well-documented rigorous solutions to validate the solution and to highlight the special expansion responses in anisotropic soils. The results reveal that the present solution can yield more predictions for cavity expansion problems in soils with initial anisotropic stresses.

• International Journal of Fluid Machinery and Systems
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• 제2권2호
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• pp.127-135
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• 2009

A conventional centrifugal pump causes a drastic deterioration of air-water two-phase flow performances even at an air-water two-phase flow condition of inlet void fraction less than 10% in the range of relatively low water flow rate. Then we have developed a two-phase flow centrifugal pump which consists of a tandem arrangement of double rotating cascades and blades of outer cascade have higher outlet angle more than $90^{\circ}$. In design of the two-phase flow pump for various sized and operating conditions, similarity relations of geometric dimensions to hydraulic performances is very useful. The similarity relations of rotational speed, impeller diameter and blade height are investigated for the developed impeller in the present paper. As the results, the similarity law of rotational speed and impeller diameter is clarified experimentally even in two-phase flow condition. In addition, influences of blade height on air-water two-phase flow performances indicate a little difference from the similarity relations.

• 소성∙가공
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• 제10권1호
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• pp.67-74
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• 2001

The cold forging process to produce a long-neck flange is investigated by using model material test. The two stage process with optimum design condition is examined using plasticine, which is suitable to model steel at room temperature. The similarity theory is employed to estimate the forging load of each sequence by strict application of similarity condition between steel(AISI 1015) and plasticine material The model test results are compared with the simulation results and shows good agreement. The proper forging process with least forming energy can be resulted in $25^{\circ}$ of extrusion semi-die angle.

• 한국터널지하공간학회 논문집
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• 제6권2호
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• pp.161-169
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• 2004

본 연구는 터널 모형실험을 실시함에 있어서 실제 지반상태 및 터널구조물을 모형실험상에서 모사하기 위한 상사성 원리를 종합적으로 검토한 것이다. 이를 바탕으로 중력장에서 모형실험을 실시하는 경우에도 상사성을 만족시킬 수 있는 방법에 대해 이론적 연구를 수행하였으며 토사지반에 시공된 터널 사례에 대하여 모형실험시 라이닝 설정 방법에 관한 실험조건 수립과정을 정리하였다.

• 충청수학회지
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• 제28권2호
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• pp.217-228
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• 2015

In this paper, we investigate bounds for solutions of the perturbed nonlinear functional differential systems with a $t_{\infty}$-similarity condition using the notion of h-stability.

• 대한수학교육학회지:수학교육학연구
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• 제19권1호
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• pp.1-24
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• 2009

비와 닮음의 활용은 고대로부터 일상생활에서 필요한 것들이었고, 유클리드 원론에서도 제 5권에서는 비를 제6권에서는 닮음을 다루고 있다. 본 연구에서는 우리나라 교과서에서 취급하고 있는 비와 닮음의 내용을 유클리드 원론, 일본, 미국의 교과서에서 취급하고 있는 내용들과 비교 분석하였는데, 도입 방법과 내용 전개 방법에 서로 차이가 있음을 알 수 있다. 우리나라의 교과서에서는 비를 도입하면서 미국 일본과 달리 비에 대한 정의 없이 보기 문제를 통해 비를 나타냈으며, 닮음에서는 우리나라와 일본의 교과서가 미국의 교과서와 달리 삼각형의 닮음조건과 삼각형의 변과 한 변에 평행인 선분에 의한 비의 관계를 다루는 순서가 다르며 삼각형의 닮음조건을 직관적으로 증명 없이 공준처럼 사용하고 있다. 이와 같은 도입 방법과 내용 전개 그리고 내용 전개 순서의 차이에 따른 학습지도는 학생들의 수준에 의해 학습내용 이해와 활용에 많은 영향을 줄 수 있다. 보다 바람직한 수학 교육을 위해 현행 모든 교과서와 같이 학습 내용을 일률적인 방법으로 취급하는 것 보다 학생들의 수준을 생각한 다양한 방법으로 취급한 교과서를 제공하는 것이 필요하다.

• 한국도로학회논문집
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• 제19권4호
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• pp.37-44
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• 2017

PURPOSES : Conductive and convective heat transfer simulations for an asphalt mixture were made by using discrete element method (DEM) and similarity principle. METHODS : In this research, virtual specimens composed of discrete element method particles were generated according to four different predetermined particle size distribution curves. Temperature variations of the four different particles for a given condition were estimated and were compared with measurements and analytical solutions. RESULTS : The virtual specimen with mixed particles and with the smallest particle show very good agreement with laboratory test results and analytical solutions. As particle size decreases, better heat transfer simulation can be performed due to smaller void ratio and more contact points and areas. In addition, by utilizing the similarity principle of thermal properties and corresponding time unit, analytical time can be drastically reduced. CONCLUSIONS : It is concluded that the DEM asphalt mixture specimens with similarity principle could be used to predict the temperature variation for a given condition. It is observed that the void ratio has critical effect on prediction of temperature variation. Comparing the prediction for a 4 mm particle specimen with a mixed particle specimen, it is also concluded that predicting the mixed particle specimen temperature is much more efficient considering the number of particles that are directly associated with computational time in DEM analysis.

• 한국추진공학회지
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• 제13권5호
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• pp.7-14
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• 2009

공기를 이용한 초음속 터빈 설계성능 검증방법을 해석적, 시험적으로 고찰하였다. 성능시험기 설계를 위한 터빈상사조건 및 노즐 면적비 관계를 도출하였으며 실형상 노즐을 적용한 터빈과의 성능비교를 전산유동해석 및 성능시험을 통해 수행하였다. 도출된 설계 상사조건을 이용하여 시험용 노즐 블록을 설계할 경우, 설계 성능을 정확히 예측됨을 전산 유동해석을 통해 확인하였으며 시험을 통해 검증하였다. 아울러 초음속 충동형 터빈의 설계성능 측정은 시험용 노즐 뿐 아니라 실형상 노즐을 통해서도 가능하며 이 경우 시험용 노즐의 상사 압력비와 속도비에서 설계 성능이 나타남을 확인할 수 있었다.