• 소성∙가공
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• 제15권6호
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• pp.445-452
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• 2006

In most of automobile body panel manufacturing, trimming process is generally performed before flanging. To find feasible trimming line is crucial in obtaining accurate edge profile after flanging. Section-based method develops blank along manually chosen section planes and find trimming line by generating loop of end points. This method suffers from inaccurate results of edge profile. On the other hand, simulation-based method can produce more accurate trimming line by iterative strategy. In this study, new fast simulation-based method to find feasible trimming line is proposed. Finite element inverse method is used to analyze the flanging process because final shape after flanging can be explicitly defined and most of strain paths are simple in flanging. In utilizing finite element inverse method, the main obstacle is the initial guess generation for general mesh. Robust initial guess generation method is developed to handle genera] mesh with very different size and undercut. The new method develops final triangular mesh incrementally onto the drawing tool surface. Also in order to remedy mesh distortion during development, energy minimization technique is utilized. Trimming line is extracted from the outer boundary after finite element inverse method simulation. This method has many advantages since trimming line can be obtained in the early design stage. The developed method is verified by shrink/stretch flange forming and successfully applied to the complex industrial applications such as door outer flanging process.

• 한국전산구조공학회논문집
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• 제17권1호
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• pp.39-47
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• 2004

본 연구에서는 경계 요소법을 이용하여 2차원 비등방성 탄성체의 손상 규명을 수행한다. 경계에서의 적분항만을 포함하는 본 수치모델은 1차원으로 줄게된다. 이러한 장점은 특히 균열 역학과 같은 문제에 있어서 중요한 의미를 갖는다. 또한 일정 영역을 분할하는 기법을 피함으로서 수치해석 과정을 간편하고 효율적으로 수행할수 있기 때문에 역문제 해결에 있어서 장점을 갖는다. 본 연구에서는 기존의 등방성 재료에 대한 비파괴 추정기법을 복합신소재와 같은 비등방성 재료로 이루어진 탄성체의 해석에 대하여 확장한다. 먼저 경계요소법에 의한 수치모델의 타당성을 기존의 문헌과 비교 검증하며, 서로 다른 특성을 보이는 비등방성 형식의 변화에 따라 실제 측정시 발생하는 노이즈 영향을 분석한다. 수치예제는 적층 형태 및 하중조건에 대하여 수행하며, 결함 추정에 미치는 적층 형태의 영향을 시험한다.

• 한국지진공학회:학술대회논문집
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• 한국지진공학회 2002년도 춘계 학술발표회 논문집
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• pp.125-132
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• 2002

In this study, a numerical method is developed for nonlinear analysis for soil-pile-structure interaction system in time domain. Finite elements considering material nonlinearity are used for the near field and boundary elements for the far field. In the near field, frame elements are used for modeling a pile and plane-strain elements for surrounding soil and superstructure. In. the far field, boundary element formulation using the dynamic fundamental solution is adopted and coupled with the near field. Transformation of stiffness matrices of boundary elements into time domain is performed by inverse FFT. Stiffness matrices in the near field and far field are coupled. Newmark direct time integration method is applied. Developed soil-pile-structure interaction analysis method is verified with available literature and commercial code. Also, parametric studies by developed numerical method are performed. And seismic response analysis is performed using actual earthquake records.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2006년도 추계학술대회논문집
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• pp.510-514
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• 2006

역경계요소법에 기초한 근접음장 음향홀로그래피는 근접 음장에서의 음압 측정과 음향경계요소법을 이용한 전달함수를 이용하여 소음원의 특성을 재구성하고, 임의 형상의을 갖는 소음원을 재구성 할 수 있는 강점이 있지만, 음압 측정에 많은 마이크로폰이 필요로 한다. 많은 실험 비용을 줄이기 위해, 본 연구에서는 마이크로폰이 고정된 상태에서 반사체를 추가하여 음장을 변화시키고, 이 상태에서 측정된 음압을 음원 재구성의 추가 정보로 이용하는 방법이 제안되고, 적용예제로서 모터의 표면 속도를 재구성 하였다. 직육면체 강체 반사체를 이용하여, 각 마이크로폰 위치에서 2 배수의 음압을 얻어, 이를 재구성에 이용하였다. 또한 수치유효랭크를 이용하여 재구성에 사용된 모우드의 개수를 계산하였다.

• 한국해양공학회지
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• 제14권2호
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• pp.121-127
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• 2000

In this paper a new technique of inverse fairing problem for ship hull is proposed. Recently Lu solved the inverse fairing problem for automobile's body that was made by one surface element. In this system however hull surface is constructed by Gregory's composite surface interpolation method. So reflection line at boundary position is used as a tool of solving inverse problem in surface fairing. But the results are not good. The new concepts of Normal vector line and Constrained reflection line are introduced as an alternative tool. Energy minimization method for Normal Vector Line curve net and the inverse method for Constrained Reflection Line by using optimization technique are examined And the final lines from this proposed surface fairing method shows good fairness.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1996년도 봄 학술발표회 논문집
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• pp.79-86
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• 1996

A boundary element method which utilizes the fundamental solution in the half plane is developed to analyze the multi-layered elastic media. The objective of this study is to derive numerically the fundamental solutions and to apply those to the exterior multi-layered domain problems. To obtain numerical fundamental solutions of multi-layered structural system, the same number of solutions as that of layers in Fourier transform domain are employed. The numerical integration technique is used in order to inverse the Fourier transform solution to real domain. To verify the proposed boundary element method, two examples are treated: (1) a circular hole near the surface of a half plane; and (2) a circular cavity within one layer of four layered half plane.

• 비파괴검사학회지
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• 제23권6호
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• pp.622-634
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• 2003

This paper is concerned with a computational method for recovering a crack shape of steam generator tubes of nuclear plants. Problems on the shape identification are discussed arising in the characterization of a structural defect in a conductor using data of eddy current inspection. A surface defect on the generator tube ran be detected as a probe impedance trajectory by scanning a pancake type coil. First, a mathematical model of the inspection process is derived from the Maxwell's equation. Second, the input and output relation is given by the approximate model by virtue of the hybrid use of the finite element and boundary element method. In that model, the crack shape is characterized by the unknown coefficients of the B-spline function which approximates the crack shape geometry. Finally, a parameter estimation technique is proposed for recovering the crack shape using data from the probe coil. The computational experiments were successfully tested with the laboratory data.

• Advances in aircraft and spacecraft science
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• 제6권5호
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• pp.409-426
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• 2019

The aim of the present work is to study the nonlinear behavior of the laminated composite plates under transverse sinusoidal loading using a new inverse trigonometric shear deformation theory, where geometric nonlinearity in the Von-Karman sense is taken into account. In the present theory, in-plane displacements use an inverse trigonometric shape function to account the effect of transverse shear deformation. The theory satisfies the traction free boundary conditions and violates the need of shear correction factor. The governing equations of equilibrium and boundary conditions associated with present theory are obtained by using the principle of minimum potential energy. These governing equations are solved by eight nodded serendipity element having five degree of freedom per node. A square laminated composite plate is considered for the geometrically linear and nonlinear formulation. The numerical results are obtained for central deflections, in-plane stresses and transverse shear stresses. Finite element Codes are developed using MATLAB. The present results are compared with previously published results. It is concluded that the geometrically linear and nonlinear response of laminated composite plates predicted by using the present inverse trigonometric shape function is in excellent agreement with previously published results.

• 대한수학회보
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• 제35권2호
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• pp.345-362
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• 1998

We introduce and anlyze a naturally parallelizable frequency-domain method for parabolic problems with a Neumann boundary condition. After taking the Fourier transformation of given equations in the space-time domain into the space-frequency domain, we solve an indefinite, complex elliptic problem for each frequency. Fourier inversion will then recover the solution of the original problem in the space-time domain. Existence and uniqueness of a solution of the transformed problem corresponding to each frequency is established. Fourier invertibility of the solution in the frequency-domain is also examined. Error estimates for a finite element approximation to solutions fo transformed problems and full error estimates for solving the given problem using a discrete Fourier inverse transform are given.

• 한국음향학회지
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• 제28권3호
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• pp.260-267
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• 2009

원하는 복잡한 음장을 지정된 구역에 정확히 형성하는 것은 음향 어레이를 이용한 응용에 있어서 가장 어렵고도 중요한 일이다. 이를 해결하기 위해, 본 논문에서는 역 경계요소법을 원용한 음향홀로그래피 방법을 이용하여 원하는 음장의 특성을 얻기 위한 음원 어레이의 필터 계수를 설계하는 방법을 제안하였다. 음원 파악에 적용되는 음향 홀로그래피는 음장에서의 음압을 측정하여 표면에서의 음원 특성을 재구성하게 되는데, 이와 유사한 음원 설계 문제에서는 목적하는 음장 특성이 주어진 조건이 되며, 음원의 체적 속도는 이러한 음장을 얻기 위한 출력 신호가 된다. 설계 과정에 있어서 먼저 목표 음장의 특성 제한 조건을 갖는 음장 데이터를 구성하고, 음원과 공간을 경계요소법으로 모델링 한 뒤, 소요되는 음원의 정보를 역으로 유도한다. 예제로서 16개의 스피커를 갖는 어레이를 이용해 전방의 반은 평면파 전파, 나머지 반은 정숙공간을 동시에 갖도록 하는 목표 음장을 구현하였다.