• Steel and Composite Structures
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• 제35권5호
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• pp.671-685
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• 2020

This manuscript presents impacts of gradation of material functions and axial load functions on critical buckling loads and mode shapes of functionally graded (FG) thin and thick beams by using higher order shear deformation theory, for the first time. Volume fractions of metal and ceramic materials are assumed to be distributed through a beam thickness by both sigmoid law and symmetric power functions. Ceramic-metal-ceramic (CMC) and metal-ceramic-metal (MCM) symmetric distributions are proposed relative to mid-plane of the beam structure. The axial compressive load is depicted by constant, linear, and parabolic continuous functions through the axial direction. The equilibrium governing equations are derived by using Hamilton's principles. Numerical differential quadrature method (DQM) is developed to discretize the spatial domain and covert the governing variable coefficients differential equations and boundary conditions to system of algebraic equations. Algebraic equations are formed as a generalized matrix eigenvalue problem, that will be solved to get eigenvalues (buckling loads) and eigenvectors (mode shapes). The proposed model is verified with respectable published work. Numerical results depict influences of gradation function, gradation parameter, axial load function, slenderness ratio and boundary conditions on critical buckling loads and mode-shapes of FG beam structure. It is found that gradation types have different effects on the critical buckling. The proposed model can be effective in analysis and design of structure beam element subject to distributed axial compressive load, such as, spacecraft, nuclear structure, and naval structure.

• 한국강구조학회 논문집
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• 제19권5호
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• pp.539-548
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• 2007

이 논문은 Pasternak지반으로 지지된 변화폭 원호형 띠기초의 휨-비틀림 자유진동에 관한 연구이다. 띠기초의 단면은 단면깊이는 일정하고, 단면폭은 1차식으로 변화하는 변화폭을 갖는 직사각형 단면으로 채택하였다. 띠기초의 지반은 Winkler지반에 전단층을 갖는 Pasternak지반으로 모형화하였다. 이러한 원호형 띠기초의 자유진동을 지배하는 상미분방정식과 경계조건을 유도하였다. 자유진동의 관성항으로는 휨관성, 회전관성 및 비틀림관성을 고려하였다. 상미분방정식을 수치해석하여 4개의 최저차 고유진동수를 산출하였다. 수치해석의 결과로 띠기초의 변수들이 고유진동수에 미치는 영향을 고찰하였다. 이 논문의 결과는 띠기초의 동적 설계에 매우 유용한 자료를 제공할 수 있을 것으로 기대된다.

• 대한기계학회논문집A
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• 제21권1호
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• pp.180-187
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• 1997

A formula for estimating the elastic stiffness of TW-HDS with a uniformly tapered width from w$_{0}$ to w$_{1}$ over the length, has been analytically derived based on Euler beam theory and Castigliano's theorem. Elastic stiffnesses of the TW-HDSs designed in the same dimensional design spaces as the KOFA HDSs have been estimated from the derived formula, in addition, a sensitivity study on the elastic stiffness of the TW-HDSs has been carried out. Analysis results show that elastic stiffnesses of the TW-HDSs have been by far higher than those of the KOFA HDSs, and that, as the effects of axial and shear force on the elastic stiffness have been 0.15-0.21%, most of the elastic stiffness is attributed to the bending moment. As a result of sensitivity analysis, the elastic stiffness sensitivity at each design variable is quantified and design variables having remarkable sensitivity are identified. Among the design variables, leaf thickness is identified as that of having the most remarkable sensitivity of the elastic stiffness.

• Design & Manufacturing
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• 제6권2호
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• pp.90-95
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• 2012

The sheet metal forming proceccing is very important and indispensable in the automotive industry because the accuracy of prsee worked parts is directly related to the automotive quality. But when making mold it is difficult and expensive to modify mold. mold design technology is a critical technology in press plastic working. When design the mold there are lots of variables in press plastic working according to worked material, mold materials, conditions of heat treatment, clearance and so on. Abrasion of mold depends on these kind of conditions and sheared surface which is crucial for quality of product also depends on them. In this study, we conduct research on abrasion loss of mold according to 8, 10 and 12% of clearance for thickness of 1.0mm of worked material out of mold design variables of the products whose worked materials are high carbon steel and carbon tool steel by a practical experiment and perform a comparative evaluation of difference of abrasion loss mold with the alloy tool steel (STD11) and Tungsten Carbide (WC).

• 한국항공우주학회지
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• 제31권8호
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• pp.99-106
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• 2003

본 논문에서는 액체추진로켓용 터보펌프내 초음속 충동형 터빈의 공력성능 향상을 위해 기하학적 설계변수를 수치적으로 연구하였다. 터빈의 기하학적 설계변수는 아랫면, 윗면 원호반경, 입사각, 익단두께로 설정, 적절한 구속조건을 도입하였고 목적함수로는 최대파워를 채택하였다. 목적함수를 얻기 위해 2-D Navier-Stokes 방정식과 Chien의 k-$\varepsilon$ 난류 모델링을 수치적으로 계산하였다. 초기모델에서 이형 중앙부에 흐름박리를 볼 수 있었으나 개선된 익형에서 흐름박리는 제거되었다. 본 연구를 통해 약 3.2 %의 축 파워가 증대되었다.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2001년도 봄 학술발표회 논문집
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• pp.102-109
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• 2001

In order to take account of the statistical properties of probability variables used in the structural analysis, the conventional approach using the safety factor based on past experience usually estimated the safety of a structure. The real structures could only be analyzed with the error in estimation of loads, material characters and the dimensions of the members. But the errors should be considered systematically in the structural analysis. Structural safety could not precisely be appraised by the traditional structural design concept. Recently, new approach based on the probability concept has been applied to the assessment of structural safety using the reliability concept. Thus, the computer program by the Probabilistic FEM is developed by incorporating the probabilistic concept into the conventional FEM method. This paper estimated for the reliability of a plane stress structure by Advanced First-Order Second Moment method using von Mises, Tresca and Mohr-Coulomb failure criterions. The reliability index and failure probability of attained by the Monte Carlo Simulation method with the von Mises criterion were same as PFEM, but the Monte Carlo Simulation were very time-consuming. The variance of member thickness and load could influence the reliability and failure probability most sensitively among the design variables from the results of the parameter analysis. And proper failure criterion must be used to design safely.

• 콘크리트학회논문집
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• 제22권1호
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• pp.131-141
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• 2010

이 연구에서는 GFRP 보강근의 정착길이 설계식을 제안하기 위하여 실험적 연구를 수행하고 실험결과의 통계적 분석을 실시하였다. 총 104개의 수정인발실험을 완료하였으며 실험변수는 보강근의 묻힘길이(보강근 지름의 15, 30, 45배), 순피복두께(보강근 지름의 0.5~2.0배), 상부근 효과, 보강근 종류(국내산 2종, 국외산 1종 등 3종) 및 보강근지름(D10, D13, D16)이었다. 수정인발실험을 통해 얻은 실험 결과 평균부착강도를 결정하고, 평균부착강도에 대한 2변수 선형회귀분석을 실시하였다. 2변수 선형 회귀분석의 결과에 대하여 5% 분위수를 적용하여 보수적인 방법으로 정착 길이 설계식을 제안하였다. 이 연구의 제안식과 ACI 440.1R-06 식을 비교하였다. 순피복두께가 $1.0\;d_b$를 초과하는 경우 이 연구의 제안식이 더 경제적이고 순피복두께가 $1.0\;d_b$ 이하인 경우에는 이 연구의 식이 더 보수적으로서 이 연구의식을 사용하는 경우 보다 경제적이고 안전한 설계가 가능할 것으로 판단된다. 피복두께는 GFRP 보강근의 부착강도 발현에 큰 영향을 주는 것으로 나타났다.

• 반도체디스플레이기술학회지
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• 제22권4호
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• pp.124-130
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• 2023

Recently, fan out wafer level packaging, which enables high integration, miniaturization, and low cost, is being rapidly applied in the semiconductor industry. In particular, FOWLP is attracting attention in the mobile and Internet of Things fields, and is recognized as a core technology that will lead to technological advancements such as 5G, self-driving cars, and artificial intelligence in the future. However, as chip density and package size within the package increase, FOWLP warpage is emerging as a major problem. These problems have a direct impact on the reliability and electrical performance of semiconductor products, and in particular, cause defects such as vacuum leakage in the manufacturing process or lack of focus in the photolithography process, so technical demands for solving them are increasing. In this paper, warpage simulation according to the thickness of FOWLP material was performed using finite element analysis. The thickness range was based on the history of similar packages, and as a factor causing warpage, the curing temperature of the materials undergoing the curing process was applied and the difference in deformation due to the difference in thermal expansion coefficient between materials was used. At this time, the stacking order was reflected to reproduce warpage behavior similar to reality. After performing finite element analysis, the influence of each variable on causing warpage was defined, and based on this, it was confirmed that warpage was controlled as intended through design modifications.

• 한국정밀공학회지
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• 제19권2호
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• pp.87-94
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• 2002

Most of Rapid Prototyping (RP) process adopt a solid Computer Aided Design (CAD) model, slicing into thin layers of uniform, but not necessarily constant, thickness in the building direction. Each cross-sectional layer is successive1y deposited and at the same time, bonded onto the previous layers; the stacked layers form a physical part of the model. The objective of this study is to develop a method for calculating the rotation angle ($$\theta$_x, $\theta$_y$) of hotwire of the cutting system in the three-dimensional space for the Variable Lamination Manufacturing process using expandable polystyrene foam sheet (VLM-S). In order to examine the applicability of the developed method to VLM-S, various three-dimensional shapes. such as a screw, an extruded cross, and free surface bodies such as miniatures of the monkey(a figure of Sonokong), were made using the data obtained form the method.

• 한국건축시공학회지
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• 제9권6호
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• pp.141-149
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• 2009

본 연구에서는 GFRP 하부근과 상부근의 정착길이 설계식을 제안하기 위하여 실험적 연구를 수행하고 실험결과의 통계적 분석을 실시하였다. 상부근과 하부근 각각 52개의 수정인발실험을 계획하였으며, 실험변수는 보강근의 묻힘길이(보강근 지름의 15, 30, 45배), 순피복두께(보강근 지름의 0.5-2.0배), 상부근 효과, 보강근 종류(국내산 2종, 국외산 1종 등 3종) 및 보강근지름(D10, D13, D16)이다. 하부근과 하부근 각각에 대하여 수정인발실험을 통하여 평균부착강도를 결정하고, 평균부착강도에 대한 2변수 선형회귀분석을 실시하였다. 2변수 선형 회귀분석의 결과에 대하여 5% 분위수를 적용하여 보수적인 방법으로 정착길이 설계식을 제안하였다. 2변수 선형 회귀분석에 의한 하부근과 하부근의 정착길이 설계식을 제안하고 상부근과 하부근의 정착식을 비교하고, ACI 440.1R-06 식과 비교하였다.