• Computational Structural Engineering
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• v.4 no.2
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• pp.87-94
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• 1991

In this paper, a mixed variational principle applicable to the linear elasticity of inhomogeneous anisotropic materials is presented. For derivation of the general variational principle, a systematic procedure for the variational formulation of linear coupled boundary value problems developed by Sandhu et al. is employed. Consistency condition of the field operators with the boundary operators results in explicit inclusion of boundary conditions in the governing functional. Extensions of admissible state function spaces and specialization to a certain relation in the general governing functional lead to the desired mixed variational principle. In the physical sense, the present variational principle is analogous to the Reissner's recent formulation obtained by applying Lagrange multiplier technique followed by partial Legendre transform to the classical minimum potential energy principle. However, the present one is more advantageous for the application to the general anisotropic materials since Reissner's principle contains an implicit function which is not easily converted to an explicit form.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.12 no.3
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• pp.116-129
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• 2000

The interaction of incident monochromatic waves with a tensioned, flexible, circular membrane submerged horizontally below free surface is investigated in the frame of three-dimensional linear hydro-elastic theory. The velocity potential is split into two parts i.e. the diffraction potential representing the scattering of incident waves by a rigid circular disk and the radiation potential describing motion induced waves by elastic responses of flexible membrane. The fluid domain is divided into three regions, and the diffraction and radiation potentials in each region are expressed by the Fourier Bessel series. The displacement of circular membrane is expanded with a set of natural functions, which satisfy the membrane equation of motion and boundary conditions. The unknown coefficients in each region are determined by applying the continuity of pressure and normal velocity at the matching boundaries. The results show that various types of wave focusing are possible by controlling the size, submergence depth, and tension of membrane.

• The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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• v.17 no.4
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• pp.418-425
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• 1988

Since conventional computer program is workable only with velocity boundary condition, in practical fluid passage such as clean room which usually have wide inlets and outlets, it is not easy to measure velocity itself because of its vector property. Furthermore a certain assumption of velocity at boundaries may lead to physically unreasonable results. From this motivation, we have developed a computer program to predict whole flow field imposed on pressure-based boundary condition which can be measured by relatively simple method. The only additional velocity boundary condition that should be imposed on to make the problem unique, are no slip condition at all walls and zero cross stream velocity at inlet. The result of present study was compared with that by Bernoulli equation being used practically. They were coincident well each other within 5%, therefore the validity of the present method is proved. In the present work, the flow field in a clean room subject to pressure-based boundary conditions at an inlet and two exits was predicted numerically. The pressure difference between the inlet and the left exit which keeps relatively low pressure among two exits is fixed as 150[Pa] and the pressure at the right exit is varied from zero to 150[Pa] by the increment of 25[Pa]. For each cases the flow characteristics in the clean room, the velocity profile at the inlet, and the flow rate through the two exits was predicted. The flow rate through the right exit imposed on relatively higher pressure than the left exit decreased linearly according to the increase of pressure of the right exit. When the pressure of the right exit is increased enough to cause back flow at the exit, the flow rate is rapidly decreased.

• Proceedings of the Korea Water Resources Association Conference
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• 2006.05a
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• pp.318-322
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• 2006

댐군 운영 문제는 여러 상충되는 목적 및 구성 요소들 간의 타협, 조정을 위한 다목적 특성을 갖고 있다. 본 연구의 목적은 댐군 연계 운영 문제에 대해 다기준 의사결정 기법을 적용하여 최선의 운영 계획을 수립하는 것이다. 이를 위해 순위선호(outranking) 관계와 유사기준(pseudo-criteria)을 기반으로 해서 여러 선호 대안을 선정하는 데 유용한 ELECTRE (ELimination Et Choice Translating REality)를 적용하고자 한다. ELECTRE IS는 주어진 후보 대안들 중에서 원하는 수의 대안을 선정하는 데 유용하다. 그러나 기존의 ELECTRE IS는 대안선정 과정에서 의사결정자에게 기준들의 가중치(weight), 유사기준판정 경계치(pseudo-criteria thresholds), 그리고 일치판정 기준비율(concordance level)의 매개변수에 대한 설정을 요구하고 이들의 설정 상태에 따라 도출되는 대안의 수가 달라질 수 있는 성질을 갖고 있다. 특히 일치판정 기준비율은 ELECTRE IS의 최종적인 순위선호 관계의 형성여부에 결정적 영향을 주어 매개변수의 아주 작은 변화에도 선정되는 대안의 수가 달라질 수 있다. 따라서 실제 ELECTRE IS를 적용하여 원하는 수의 대안을 선정하기 위해서는 일치판정 기준비율에 대한 반복적용이 불가피하다. 이에 본 연구에서는 CoMOM (Coordinated Multireservoir Operating Model)을 활용한 댐군 연계운영 시 제시되는 파레토 최적해 집합(Pareto set)중에서 최선의 파레토 최적해를 선정할 때 ELECTRE IS의 수학적 구현 모형을 활용할 것을 제안하고 그 방법론을 제시한다. 제안된 모형은 혼합정수계획모형으로서 ELECTRE IS를 적용하는 과정에서 일치판정 기준비율을 자동으로 도출하고, 궁극적으로 많은 반복 없이 원하는 수나 그에 근사한 수의 선호대안(핵심대안)을 도출할 수 있는 특징을 갖고 있다. 이 모형을 낙동강 수계의 댐군 연계운영 문제에 적용해 보고, 핵심대안을 효율적으로 도출할 수 있음을 보인다.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.16 no.2
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• pp.83-91
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• 2004

The performance of wave control by a surface-mounted horizontal membrane is analyzed in the frame of linear potential theory. To employ the eigenfunction expansion method, the fluid domain is divided into two regions i.e. region without membrane and membrane-covered region. By matching the each solutions at boundaries of adjacent regions, the complete solution is obtained. The present analytical method solving the scattering problem directly gives the same results as Cho and Kim(1998)'s method solving the diffraction and the radiation problem separately. To verify the developed model, the model test with a surface-mounted horizontal membrane is conducted at the wave tank(36m${\times}$0.91m${\times}$l.22m). The analytic results are in good agreement with the experimental results. The reflection and transmission coefficients are investigated according to the change of membrane tension, length and incident frequencies.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.14 no.1
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• pp.8-18
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• 2002

In this paper, wave energy absorption of OWC(oscillating water column) device is analyzed. The analytic model consists of a partially immersed circular vertical cylinder open at its end and an air turbine connected with the air chamber. The boundary value problem is decomposed into scattering problem related to scattering by an incident wave in the absence of a pressure variation and radiation problem describing the flow due to an oscillating pressure in the absence of an incident wave. By invoking the continuity of an air flow inside the chamber, the oscillating pressure in a chamber is derived. With oscillating pressure, the mean power absorbed by OWC device and the capture width are obtained. In numerical calculation, the induced volume flux across the internal free surface of the chamber in the scattering and radiation problem and the maximum capture width are compared with various design parameters such as radius and submergence depth of chamber and wave conditions. The maximum capture width obtained by choosing the optimal value of turbine constant occurs at the first resonant mode (Helmholtz mode) among the natural frequencies of a circular cylinder chamber.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 1995.10a
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• pp.284-288
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• 1995

최근 애매성이 수반되는 정보를 Zadeh는 멤버쉽함수(membership function)를 이용하여 새로운 정보처리 방식으로서 퍼지이론을 제안하였고, 그후 의료계에서도 퍼지이론을 도입한 진단법들이 제안되었다. 회전기계의 이상진단법으로는 주파수득점법(Point counting method), 퍼지역연산법(Inverse method of fuzzy theory)등이 보고되고 있으며, 저자들도 퍼지이론을 이용하여 구름베어링의 결함진단, 회전기계의 간이 이상진단법등을 보고하였다. 이들은 주로 진동주파수의 스펙트럼 데이터 만을 이용하고 있고, 다른 많은 데이터를 복합적으로 이용할 수 없다. 이 때문에 주로 소규모 문제의 간이진단에서는 효과적이나 진단대상이 복잡하고 대규모로 되면 보다 정확한 원인 추정이 곤란하게 된다. 또한 수치데이터만을 취급할 수 있으므로 진동전문가가 진단에 이용하는 각종의 수치화 될 수 없는 데이터(언어적인 정보)가 취급될 수 없다. 따라서 이들의 진단법은 개략적인 진단은 가능하나 상세한 원인까지는 진단할 수 없는 단점이 있다. 회전기계의 이상판단시 참고가 되는 각종 정보로는 주로 진동진폭의 크기, 진폭과 위상의 변화, 진폭의 변화, 진동파형, 진동벡터의 시간변화 등이 있고, 이들은 수치적으로 표현할 수 있는 계량데이터와 판단의 경계가 불명확한 언어정보(범위데이터)로 나눌 수 있다. 후자는 애매성(fuzziness)을 많이 포함하고 있으며, 엄밀히 측정되는 수치데이터에서도 퍼지성을 가지고 있다. 이러한 언어적인 정보의 애매성을 퍼지추론에서는 [수치적 진리치](numeric truth)와 [언어적 진리치](linguistic truth)의 개념으로 표현하게 되었다. 수치적 진리치는 확실함의 척도를 [0,1] 사이의 수치를 이용하여 표현하고 있으며, 이 수치는 소견의 확실도로서 가능성을 표현한 것이다. 예를 들면, 진동진폭 스펙트럼상에 2X 성분이 상당히 크게 나타나 정렬불량의 가능성이 0.7 정도라고 판정하는 것 등은 이러한 수치적진리치를 이용하는 방법이다. 그러나 상기의 수치적 표현만으로는 확실도를 한개의 수치로서 대표하게 하는 것은 진단의 정밀도에 문제가 있을 것으로 생각된다. 따라서 언어적진리치가 도입되어 [상당히 확실], [확실], [약간 확실] 등의 언어적인 표현을 이용하여 애매성을 표현하게 되었다. 본 논문에서는 간이진단 결과로부터 추출된 애매한 진단결과중에서 가장 가능성이 높은 이상원인을 복수로 선정하고, 여러 종류의 수치화할 수 없는 언어적(linguistic)인 정보ㄷㄹ을 if-then 형식의 퍼지추론으로 종합하는 회전기계의 이상진단을 위한 정밀진단 알고리즘을 제안하고 그 유용성을 검토한다.

• Journal of the Society of Naval Architects of Korea
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• v.29 no.2
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• pp.38-47
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• 1992

The motion response of a ship moored in a rectangular harbor excited by long waves has been studied theoretically and experimentally. Within the framework of potential theory, matched asymptotic expansion techniques are exployed to analyze the problem. The fluid domain is divided into the ocean and the harbor regions for the analysis of wave response in a harbor without ship. The wave responses in both the ocean and the harbor sides are solved first independently in terms of Green's functions, which are the solutions of the Helmholtz equation satisfying appropriate boundary conditions. Slender body approximations are used to obtain the velocity jumps across the ship, which are associated with the symmetric motion modes of the ship. Unknowns contained in each solution are finally determined by matching at an intermediate zone between two neighboring regions. Theoretical results predict the ship motion qualitatively well. The main source of quantitative discrepancies is presumably due to real fluid effects such as separation at the harbor entrance and friction on harbor boundaries.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.4 no.1
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• pp.34-44
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• 1992

A numerical model using Hybrid Element Method(HEM) is presented for the prediction of wave agitations in a harbor which are induced by the intrusion and transformation of incident short-period waves. A linear mild-slope equation including bottom friction is used as the governing equation and a partial absorbing boundary condition is used on solid boundaries. Functional derived in the present paper is based on the Chen and Mei(1974)'s concept which uses finite element net in the inner region and analytical solution of Helmholtz equation in the outer region. Final simultaneous equations are solved using the Gaussian Elimination Method. The model appears to be reasonably good from the comparison of numerical calculation with hydraulic experimental results of short-wave diffraction through a breakwater gap(Pos and Kilner, 1987). The problem of requring large computational memory could be overcome using 8-noded isoparametric elements.

• Computational Structural Engineering
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• v.5 no.4
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• pp.103-111
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• 1992

In this paper, liquid sloshing effects in rectangular storage structures for spent fuel under earthquake loadings are investigated. Eulerian and Lagrangian approaches are presented. The Eulerian approach is carried out by solving the boundary value problem for the fluid motion. In the Lagrangian approach, the fluid as well as the storage structure is modelled by the finite element method. The fluid region is discretized by using fluid elements. The (1*1)-reduced integration is carried out for constructing the stiffness matrices of the fluid elements. Seismic analysis of the coupled system is carried out by the response spectra method. The numerical results show that the fluid forces on the wall obtained by two approaches are in good agreements. By including the effect of the wall flexibility, the hydrodynamic forces due to fluid motion can be increased very significantly.