• Proceedings of the Korean Institute of Navigation and Port Research Conference
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• v.29 no.1
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• pp.41-46
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• 2005

In this paper, the flow phenomena and free surface wave pattern around the hull with a transom stern advancing on the free surface in steady state had been studied and the numerical analysis program had been developed using Rankine source panel method based on potential flow analysis in which the non-linearities of the free surface boundary conditions had been fully satisfied. To verify the validity of the developed program the numerical calculations for Athena hull and KCS(KRISO container ship) hull had been performed and the results of the numerical computation had been compared with the ones of the model test experiment.

• 전기의세계
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• v.39 no.3
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• pp.47-54
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• 1990

유한요소법과 경계요소법의 합성으로 전자계 해석을 하는 기법은 각 방법의 장점을 수용하여 경계가 없는 무한영역의 전자장을 분석하는 기법으로서 어떤 복잡하고 어려운 기하학적 구조의 문제도, 비선형이나 비균질성 재질의 문제도 쉽게 formulation이 가능하여 용이하게 해석할 수 있지만 전체 System matrix방정식이 비대칭이며 부분적인 full matrix를 형성하여 계산시간이 길어 진다는 단점도 있다. 적용예에서 보여 준 것과 같이 합성요소법은 그 해가 실제에 근사한 값을 가질수 있다고 생각되며, 계산시간을 단축시키기 위하여 직접법이나 반복법을 사용한 새로운 해법들이 도입되고 있다. 최근에는 system전체 node의 순서를 고려한 NDRA(Nested Dissection Reordering Algorithm)이 도입되고 있고, System matrix자체를 유한 요소법의 형태로 유지시키며 풀수 있는 방법으로 알려진 Absorbin 경계조건을 사용하여 전자파에 대한 해석을 하고 있다. 유한 및 경계요소 합성법은 초고압 옥외용 전력기기의 전자장 해석과 설계, 레이다나 안테나 등의 전자파 해석문제, 초전도 응용, 전력기기의 전자장해석과 설계, 우주공간에서의 전력전송문제 등을 쉽게 model화하여 적용할 수 있을 것이다.

• Journal of KSNVE
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• v.7 no.1
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• pp.55-60
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• 1997

In order to examine the validity of an asymptotic solution obtained from the method of multiple scales, we investigate a third-order subharmonic resonance response of a bar constrained by a nonlinear spring to a harmonic excitation. The motion of the bar is governed by a linear partial differential equation with a nonlinear boundary condition. The nonlinear boundary value problem is solved by using the finite difference method. The numerical solution is compared with the asymptotic solution.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.28 no.1
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• pp.11-21
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• 2004

In this paper, an active vibration control of a tensioned elastic axially moving string is investigated. The dynamics of the translating string ale described by a non-linear partial differential equation coupled with an ordinary differential equation. The time varying control in the form of the right boundary transverse motions is suggested to stabilize the transverse vibration of the translating continuum. A control law based on Lyapunov's second method is derived. Exponential stability of the translating string under boundary control is verified. The effectiveness of the proposed controller is shown through the simulations.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.21 no.2
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• pp.337-345
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• 1997

An analysis is presented for the response of a beam constrained by a nonlinear spring to a harmonic excitation. The system is governed by a linear partial differential equation with a nonlinear boundary condition. The method of multiple scales is used to reduce the nonlinear boundary value problem to a system of autonomous ordinary differential equations of the amplitudes and phases. The case of the third-order subharmonic resonance is considered in this study. The autonomous system is used to determine the steady-state responses and their stability.

• Journal of Industrial Technology
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• v.18
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• pp.61-67
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• 1998

이 논문에서는 Diruchlet 경계 조건을 갖는 비선형 타원형 방정식 $-{\Delta}u+g(u)=f(x)$의 해의 존재에 대한 연구를 하였다. 존재하는 해의 다중성을 증명하기 위하여 임계점 이론과 롤의 정리를 사용하였으며, 대응되는 범함수에 따라서 방정식의 해와 임계점이 동시에 나타난다는 정리를 이용하였다. 이 때 $g(u)=bu^+-au^-$으로 나타날 때 외력항 (방정식의 우변)의 상수로 주어지는 경우 적어도 두 개의 해가 존재한다는 것을 증명하였다. 만약 우변(외력항)의 상수가 음수이거나 0인 경우이 방정식의 해가 존재하지 않거나 자명한 해만 존재하기 때문에 상수는 양수인 것으로 가정하였다.

• Proceedings of the Computational Structural Engineering Institute Conference
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• 2009.04a
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• pp.517-520
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• 2009

본 연구에서는 비선형 FEM 해석을 이용하여 PSC(Prestressed concrete)와 강으로 구성된 혼합구조 보의 휨 실험을 검증하였다. 혼합구조 보의 거동에 가장 큰 영향을 미치는 연결부는 Perfobond rib로 구성된 경우와 스터드로 구성된 경우를 고려하였다. 이종 재료가 접하는 경계면의 상호 작용에 대해 완전합성과 부분합성인 경우를 고려하여 혼합구조 보의 비선형 해석을 수행한 후 해석 결과와 실험 결과를 비교하였다. 하중-처짐관계, 파괴 형상 등의 해석 결과를 실험 결과와 비교한 결과, 부분합성을 고려한 모형이 실험 결과와 유사한 거동을 보였으며 또한 Perfobond rib를 갖는 실험체가 스터드를 갖는 실험체보다 해석 결과와 비교 시 안전측의 결과를 나타냈다.

• Journal of the Society of Disaster Information
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• v.12 no.1
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• pp.69-73
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• 2016

In this study, the applicability and validity of collocation method to nonlinear vibration issues in comparison to other solutions are confirmed, and the applicability of collocation method to nonlinear dynamic response issues in comparison to the response curve with F.E.M results is examined. Also, it is also examined how the influence of axial inertia varies according to the size of slenderness ratio.

• Journal of the Society of Naval Architects of Korea
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• v.36 no.1
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• pp.61-69
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• 1999

To promote the usability of CFD techniques for the basic hull form design, a hull surface mesh generating program, based on given station offsets and centerline profile, is developed. The new method employs non-uniform parametric splines with predetermined waterline end-shapes of natural spline, normal spline, ellipse, parabola hyperbola, and their combinations. Generated hull surface meshes can be utilized for potential panel method immediately and can be also used as a boundary grid surface for 3-D field grid system. Mesh topology chosen to represent hull surface can be transformed into a rectangle, which he1ps the flow solvers to transform surface meshes for the nonlinear free surface condition or to define the turbulence quantities. To prove the applicability, a container ship with bow and stem bulb is chosen, and the procedures generating hull surface meshes are described.

• Water for future
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• v.26 no.1
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• pp.71-79
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• 1993

Nonlinear characteristics of air pressure variation and wave transformation of a fixed air-chamber structure are discussed theoretically and experimentally. Two analytical methods(method I and II) based on the perturbation method and Green's formula are employed in order to evaluate nonlinearities by the submerged and semi-submerged air-chamber structure. Moreover, an air compression model is newly developed to estimate the dynamic air pressure in the air-chamber inside the structure, assuming the Boyle-Charles's law with adiabatic process in the air pressure variation. Theoretical values of the method I considering evanescent mode waves at an fictious boundary, are in good agreement with those of method II employing the fictious boundary which is not affected by evanescent mode waves. Both theoretical values are shown to agree well with experimental values.