• 한국전산구조공학회논문집
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• 제26권4호
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• pp.255-262
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• 2013

본 논문에서는 아이소-지오메트릭 기법을 기반으로 민들린 후판에 대한 형상 설계민감도 해석법을 제시하였다. 아이소-지오메트릭 기법은 정확한 기하학적 형상의 표현, 요소 사이의 높은 연속성 등 바람직한 강점들을 가지고 있으며 궁극적으로는 해석해로의 빠른 수렴성과 정확한 설계민감도를 제공한다. 선형 형상함수를 사용하는 유한요소법과는 달리 아이소-지오메트릭 기법에서는 높은 차수의 NURBS 기저함수를 활용하여 CAD 형상의 법선벡터와 곡률을 정확하게 고려한다. 전단 잠김(Shear locking) 현상을 극복하기 위해서 선택적 감소적분(Selective reduced integration) 기법을 사용하였다. 이 간단한 방법은 복잡한 정식화 과정 없이 정확한 아이소-지오메트릭 형상 설계민감도 해석을 수행한다. 굽힘 문제에 대한 수치예제를 통하여 제안된 아이소-지오메트릭 해석과 유한요소 해석을 비교하였으며, 유한차분 설계민감도와 비교하여 아이소-지오메트릭 형상 설계민감도는 매우 정확함을 확인하였다.

• 한국산학기술학회논문지
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• 제11권12호
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• pp.5199-5206
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• 2010

본 논문에서는 개선된 자연변형률 쉘 요소를 이용한 적층복합판의 좌굴하중을 연구하였다. 면내 잠김과 전단 잠김 현상을 극복하기 위하여 가정자연변형률 방법을 이용하였고, 면내 압축 및 전단하중이 작용하는 경우에 폭-두께 비 및 파이버의 보강방향의 변화에 따른 적층복합판의 고유치 문제를 연구하였다. 쉘 요소의 성능 향상을 위해 새로운 보간점의 조합을 이용한 가정변형률 방법을 사용하였으며 전단보정계수 없이 전단변형을 고려할 수 있는 개선된 1차 전단변형이론을 적용하였다. 본 연구의 결과를 검증하기 위해 참고문헌의 결과들과 비교 분석하였으며 새로운 예제도 추가적으로 연구하였다. 해석결과는 참고문헌의 결과들과 잘 일치함을 알 수 있었다. 면내 전단하중에 의한 좌굴하중의 예측은 향후 관련 연구에 비교자료로 활용될 수 있을 것이다.

• Structural Engineering and Mechanics
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• 제28권5호
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• pp.603-633
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• 2008

A four-node plate finite element for the analysis of laminated composites which is developed using strain gradient notation is presented. The element is based on a first-order shear deformation theory and on the equivalent lamina assumption. Strains and stresses can be calculated at different points through the thickness of the plate. They are averaged values due to the equivalent lamina assumption. A shear correction factor is used as the transverse shear strain is taken to be constant over the plate thickness while its actual variation is parabolic. Strain gradient notation, which is physically interpretable, allows for the detailed a-priori analysis of the finite element model. The polynomial expansions are inspected and spurious terms responsible for modeling errors are identified in the shear strains polynomial expansions. The element is corrected by simply removing the spurious terms from the shear strains expansions. The element is implemented into a FORTRAN finite element code in two versions; namely, with and without spurious terms. Results are compared to show the effects of the spurious terms on the solutions. It is also shown that a refined mesh composed of corrected elements provides solutions which approximate very well the analytical solutions, validating the procedure.

• 대한골관절종양학회지
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• 제16권2호
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• pp.80-86
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• 2010

목적: 골격계는 전이성 암에 의해 흔히 영향을 받는 부위이다. 본 연구를 통해 하지에서 발생한 전이성 병적 골절에 대한 치료로서 잠김 금속판을 이용한 치료 결과에 대해 알아보고자 한다. 대상 및 방법: 2004년부터 2010년까지 하지에 발생한 전이성 암에 의한 병적 골절에 대하여 잠김 금속판을 이용하여 치료받은 12명(13예)의 환자를 대상으로 평가를 시행하였다. 평균 환자 나이는 62.2세(50-81세)였으며, 골절은 각각 근위 대퇴골 2예, 대퇴골 간부 3예, 원위 대퇴골 3예, 근위 경골 4예, 원위 대퇴골 1예에서 발생하였다. 치료 결과로서 휠체어 보행 가능 시기, 통증 완화 정도 및 합병증을 평가하였으며, 또한 수술 시간 및 술 후 실혈량에 대하여 평가하였다. 결과: 수술 후부터 휠체어 보행까지는 평균 3.2일(1-6일)이 소요되었다. 평균 시각 통증 척도는 수술 전 8.1점(7-9점)에서 술 후 1주일째 2.7점(2-4점)으로 호전되었으며, 수술과 연관된 조기 합병증은 발생하지 않았다. 평균 수술 시간은 88.4분(70-105분)이었으며, 술후 평균 실혈량은 246.5 ml (130-320 ml)이었다. 결론: 하지의 전이성 병적 골절에 대한 치료로서, 잠김 금속판을 이용한 내고정술은 심한 골 파괴나 골 결손을 보이는 장골의 골간단부 혹은 골간부 병변에 효과적인 치료 방법이며, 또한 조기 보행을 가능하게 하고, 통증 및 술후 합병증 감소에 도움을 줄 수 있을 것이다.

• 복식
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• 제61권10호
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• pp.135-150
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• 2011

The ranking belts for Joseon dynasty officials that are based on references and relics are studied in this paper in terms of architecture, detailed names, and structural changes according to different time. Officials' uniforms consist of hats, clothes, belts, and shoes. Among these, the belt is an important sign that represents the wearer's ranking. The ranking belts of the Joseon dynasty which were brought from Ming at the late stage of the Koryo dynasty became classified as the following four classes : Seo-dai(a rhinoceros' horn, 犀帶), Gum-dai(gold, 金帶), Eun-dai(silver, 銀帶), and Heug-gag-dai(black horn, 黑角帶). A ranking belt consists of a basic belt body and a plaque that represents the wearer's rank. A plaque consists of 20 plates: three front-center plates that represent the Sam-tai(三台) constellation, six front-side plates that represent the Namduyug constellation(南斗六星), seven back plates that represent the Big Dipper(北斗七星), left side Bo(輔), right side Pil(弼), and a couple of Tamie at both ends. The architecture of the belt body; the basic frame for ranking belts, shows some differences between the former and the latter periods of the Joseon dynasty. In the former period, the belt had a pair of a buckle so that the wearers were able to adjust the belt size. But later, the belt didn't have the buckles to adjust the belt size and consequently it only performed a locking or unlocking function. Therefore, the belts in the latter period were longer than normal and one size fit all. In addition to the functional change of buckles, the shapes of the ranking belts show changes from the round shape to the square shape as time goes on.

• Steel and Composite Structures
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• 제21권2호
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• pp.373-394
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• 2016

The postbuckling behavior of laminated composite plates and shells, subjected to various shear loadings, is presented, using a modified 8-ANS method. The finite element, based on a modified first-order shear deformation theory, is further improved by the combined use of assumed natural strain method. We analyze the influence of the shell element with the various location and number of enhanced membrane and shear interpolation. Using the assumed natural strain method with proper interpolation functions, the present shell element generates neither membrane nor shear locking behavior even when full integration is used in the formulation. The effects of various types of lay-ups, materials and number of layers on initial buckling and postbuckling response of the laminated composite plates and shells for various shear loading have been discussed. In addition, the effect of direction of shear load on the postbuckling behavior is studied. Numerical results and comparisons of the present results with those found in the literature for typical benchmark problems involving symmetric cross-ply laminated composites are found to be excellent and show the validity of the developed finite element model. The study is relevant to the simulation of barrels, pipes, wing surfaces, aircrafts, rockets and missile structures subjected to intense complex loading.

• Steel and Composite Structures
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• 제35권1호
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• pp.129-145
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• 2020

In typical, structural topology optimization plays a significant role to both increase stiffness and save mass of structures in the resulting design. This study contributes to a new numerical approach of topologically optimal design of Mindlin-Reissner plates considering Winkler foundation and mathematical formulations of multi-directional variable thickness of the plate by using multi-materials. While achieving optimal multi-material topologies of the plate with multi-directional variable thickness, the weight information of structures in terms of effective utilization of the material at the appropriate thickness location may be provided for engineers and designers of structures. Besides, numerical techniques of the well-established mixed interpolation of tensorial components 4 element (MITC4) is utilized to overcome a well-known shear locking problem occurring to thin plate models. The well-founded mathematical formulation of topology optimization problem with variable thickness Mindlin-Reissner plate structures by using multiple materials is derived in detail as one of main achievements of this article. Numerical examples verify that variable thickness Mindlin-Reissner plates on Winkler foundation have a significant effect on topologically optimal multi-material design results.

• Structural Engineering and Mechanics
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• 제76권4호
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• pp.435-449
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• 2020

This work presents the formulation of the isogeometric collocation method to solve the strong form equation of a unified and integrated approach of Reissner Mindlin plate theory (UI-RM). In this plate theory model, the total displacement is expressed in terms of bending and shear displacements. Rotations, curvatures, and shear strains are represented as the first, the second, and the third derivatives of the bending displacement, respectively. The proposed formulation is free from shear locking in the Kirchhoff limit and is equally applicable to thin and thick plates. The displacement field is approximated using the B-splines functions, and the strong form equation of the fourth-order is solved using the collocation approach. The convergence properties and accuracy are demonstrated with square plate problems of thin and thick plates with different boundary conditions. Two approaches are used for convergence tests, e.g., increasing the polynomial degree (NELT = 1×1 with p = 4, 5, 6, 7) and increasing the number of element (NELT = 1×1, 2×2, 3×3, 4×4 with p = 4) with the number of control variable (NCV) is used as a comparable equivalent variable. Compared with DKMQ element of a 64×64 mesh as the reference for all L/h, the problem analysis with isogeometric collocation on UI-RM plate theory exhibits satisfying results.

• 한국전산구조공학회논문집
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• 제17권3호
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• pp.279-293
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• 2004

등방성 혹은 비등방성 적층복합판 및 쉘의 선형 정적 문제와 자유진동 해석이 새로운 변형률 변위 관계가 도입된 개선된 9절점 쉘 요소에 의하여 수행되었다. 그 관계에서 새롭게 추가된 휨 변형률과 변위사이의 관계 항들에 의한 효과는 비틀어진 보 문제에서 검토되었다. 정식화의 전 과정을 통해, 식들의 모든 항들은 자연 좌표계에 기초하고 있다. 가정 자연 변형률 방법이 막 잠김과 전단 잠김 거동을 제거하기 위하여 사용하였다. 적층 복합판 및 쉘의 고유치의 계산을 위해 Lanczos방법을 사용하였고 질량행렬을 구성하기 위하여 Gauss적분법을 사용하였다. 정식화의 유효성을 평가하기 위해 수치 예제를 해석적 해와 비교하였으며, 제시된 결과는 자유진동 조건하에서 적층체의 거동을 이해하는데 유용할 것이다.

• Structural Engineering and Mechanics
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• 제13권4호
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• pp.387-410
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• 2002

Formulation of an 8 nodes assumed strain shell element is presented for the analysis of shells. The stiffness matrix based on the Mindlin-Reissner theory is analytically integrated through the thickness. The element is free of membrane and shear locking behavior by using the assumed strain method such that the element performs very well in modeling of thin shell structures. The material is assumed to be isotropic and laminated composite. The element has six degrees of freedom per node and can model the stiffened plates and shells. A great number of numerical testing carried out for the validation of present 8 node shell element are in good agreement with references.