• Computational Structural Engineering
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• v.4 no.2
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• pp.103-110
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• 1991

To solve the large problems with limited core memory of computer, a disk management scheme called virtual memory database has been developed. Utilizing this technique along with memory moving scheme, an efficient in-and out-of-core column solver for the sparse symmetric matrix commonly arising in the finite element analysis is developed. Compared with other methods the algorithm is simple, therefore the coding and computational efficiencies are greatly enhanced. Analysis example shows that the proposed method efficiently solve the large structural problem on the small-memory micro-computer.

• Proceedings of the Korea Water Resources Association Conference
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• 2021.06a
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• pp.255-255
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• 2021

내수 침수는 강물과 같은 외수보다는 제내지에서 하수 또는 우수의 배제가 불량하여 발생되는 범람이다. 내수 침수 상황에서 침수심의 정확한 관측과 예보된 강수로부터 침수심을 예측할 수 있는 시스템 즉, 스마트 목자판이 개발되고 있다. 시스템 운용에 사용될 소프트웨어 가운데 하나로서 침수 해석을 위한 수치 모형이 필요하다. 내수에 의한 침수와 그것의 배제를 무리 없이 모의하려면, 물이 차고 빠지는 물리 현상을 타당하게 해석하는 것이 관건일 것이다. 그에 따라 2차원 천수 방정식을 유한 체적법으로 해석할 때 흐름률(flux) 계산에 근사 Riemann 해법을 적용하는 모형을 도입하였다. 단순하면서도 내수 침수의 재현에서 드러날 수 있는 취약점들을 포괄할 수 있도록 경사면과 계단으로 가상 지형을 구성하였으며, 강수로 인한 지형의 침수에 대해 개발된 모형을 시험하였다. 근사 Riemann 해법은 흐름률의 정확한 평가로 잠김과 드러남 모의가 자연스런 장점이 있으나, 해석 방법이 복잡하여 계산 시간이 비교적 오래 걸리므로 그에 대한 대책이 요구된다.

• Journal of Korean Society of Steel Construction
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• v.24 no.3
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• pp.289-299
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• 2012

The goal of this paper is to apply the multi-step Taylor method to a space truss, a non-linear discrete dynamic system, and analyze the non-linear dynamic response and unstable behavior of the structures. The accurate solution based on an analytical approach is needed to deal with the inverse problem, or the dynamic instability of a space truss, because the governing equation has geometrical non-linearity. Therefore, the governing motion equations of the space truss were formulated by considering non-linearity, where an accurate analytical solution could be obtained using the Taylor method. To verify the accuracy of the applied method, an SDOF model was adopted, and the analysis using the Taylor method was compared with the result of the 4th order Runge-Kutta method. Moreover, the dynamic instability and buckling characteristics of the adopted model under step excitation was investigated. The result of the comparison between the two methods of analysis was well matched, and the investigation shows that the dynamic response and the attractors in the phase space can also delineate dynamic snapping under step excitation, and damping affects the displacement of the truss. The analysis shows that dynamic buckling occurs at approximately 77% and 83% of the static buckling in the undamped and damped systems, respectively.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.14 no.4
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• pp.435-444
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• 2001

Even todays, accurate and efficient algorithms for the large deformation analysis of elastoplastic frame structures lack due to the complexities of kinematics, material nonlinearities and numerical methods to cater for. The author suggests appropriate beam element based upon the incremental formulation from the 3D rod theory where Cauchy stress and engineering strain are variables to incorporate plasticity equations so that objectivity may be satisfied. A rectum mapping methods which can integrate and satisfy yield criteria efficiently is suggested and a continuation method which has global convergency and quadratic speed is developed as well. leading-unloading example problems are tested and the ideas are proved to be valuable.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.13 no.1
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• pp.47-54
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• 1993

For the numerical analysis of free oscillation characteristics in a harbor with general boundary and bottom topography, finite element method is applied. The governing Helmholtz equation is transformed into a generalized matrix eigenvalue problem using the standard finite element procedure. A computer code is developed for the numerical evaluation of natural frequencies and free oscillation modes. In the eigensolution process, a shifting strategy is devised for the treatment of numerical singularity. Scaling of coefficient matrix is also found to be effective for the alleviation of numerical ill-conditioning. For the test problems, firstly, analytical and numerical solutions are compared and validity of the code is obtained. Hence the method is successfully applicable for the real-world problems with general geometric boundaries and bottom topography.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.14 no.5
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• pp.1105-1113
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• 1994

For the design of various structures, the dynamic analysis of the structures is essential. Eigenproblem must be first computed when the mode superposition method is used in the dynamic analysis of the structures. However, since most of solution time is spent on calculating the eigenpairs of the system, the development of more efficient solution method is required. The purpose of this paper is to present the efficient solution method that combines the Robinson-Lee's method and accelerated Newton-Raphson method to improve numerical stability and increase convergence. Effectiveness of the proposed method is verified through numerical examples.

• Transactions of the Korean Society of Mechanical Engineers
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• v.12 no.4
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• pp.642-651
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• 1988

The present paper develops finite element procedures to calculate displacements, strains and stresses in initially stressed elastic solids subjected to static or time-dependent loading conditions. As a point of departure, we employ Hamilton's principle to obtain nonlinear equations of motion characterizing the displacement in a solid. The equations of motion reduce to linear equations of motion if incremental stresses are assumed to be infinitesimal. In the case of linear problem, finite element solutions are obtained by Newmark's direct integration method and by modal analysis. An analytic solution is referred to compare with the linear finite element solution. In the case of nonlinear problem, finite element solutions are obtained by Newton-Raphson iteration method and compared with the linear solution. Finally, the effect of the order of Gauss-Legendre numerical integration on the nonlinear finite element solution, has been investigated.

• Journal of the korean Society of Automotive Engineers
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• v.17 no.5
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• pp.1-8
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• 1995

전산유체 해법의 내연기관 3차원 해석에 대한 최근 연구 동향에 대해 소개하였다. 난류유동 해석은 아직 정확성과 신뢰도 면에서 많은 연구가 필요하지만 현재의 상태에서도 직관, 경험, 실험 측정에 의해 파악하기 어렵거나 많은 비용과 시간이 요구되는 부분을 보완해 줄 수 있는 도구로서 인정받고 있다. 연소해석 부분은 현상 자체가 유동, 연소, 분무, 열전달등이 복합적으로 작용하는 어려운 문제로서 공학계산의 가장 첨단 분야 중의 하나라 할 수 있다. 현재 관련 모델로서 스파크 점화기관의 점화 및 화염전파, 배기가스 생성 과정과 디젤기관의 압축착화, 예혼합 및 확산 연소, 매연 등의 생성과정에 대한 모델 개발과 검증이 활발히 이루어지고 있다. 일부 발표된 논문 결과들은 이와 같은 방법이 엔진의 주요 연소 특성을 재현하는데에 성공적으로 활용될 수 있음을 보여주고 있다.

• Journal of the Korean Institute of Gas
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• v.2 no.4
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• pp.73-78
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• 1998

This paper considers the applicability of a pseudosteady-state approach to the long-time behavior of real gas flow in a closed reservoir. The method involves a combination of a linearized gas diffusivity equation using a normalized pseudotime and a material balance equation. For the simulation of field-scale problems with multiple wells of differing production rates over extended production periods, the pseudosteady-state equation was solved successively for each flow period. Results from this study show that the approach provides a fast and accurate method for modeling the long-time behavior of gas reservoirs under depletion conditions.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.23 no.7
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• pp.585-596
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• 2013

This study introduces a hybrid approach combining numerical results with pre-developed analytical calculations for the sound radiation from the modal vibration of a thick, finite length cylinder with various boundary conditions. Structural vibrations of the cylinder are numerically investigated with the finite element method, and distributions of vibratory displacements on the cylinder surface are idealized as simple mathematical expressions based on the numerical results. Sound radiations from the normal vibration of the cylinder are calculated based on idealized modal displacements using a previously introduced theoretical solution. The results are confirmed with numerical analyses using the boundary element method. Based on these results, it can be concluded that the solutions suggested in this study have good accuracies in calculating the vibro-acoustic properties of a thick, finite cylinder with various boundary conditions. Also, the sound radiation characteristics of many practical components such as brake drums and motor housings are expected to be investigated using the procedure proposed in this study.