• Title/Summary/Keyword: 변형 함수

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Initial Blank Optimization Design of Square Can Multistage Drawing considering Formability and Product Shape (사각형 캔 드로잉 다단 공정에서 성형성과 제품형상을 동시에 고려한 초기 블랭크 형상 최적 설계)

  • Park, Sang-Min;Kim, Dong Kyu;Hong, Seokmoo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.3
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    • pp.320-326
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    • 2017
  • Multistage deep-drawing technology is used widely in the production of mobile phone battery cases to improve productivity and economy. To ensure adequate capacity and rigidity, such cases are fabricated as a rectangular cup with a high slender ratio. The multistage deep-drawing of a rectangular cup entails a high slender ratio, and the heights of the product sides may be non-uniform because of the complicated deformation mechanisms. This causes problems in product assembly that affects the surface quality of the case. This study examined a blank shape that minimizes the height variations of the product to resolve the aforementioned problems. Optimization design and analysis were performed to identify the shape that yields the least variation. The long and short sides of an oval blank were set as the design variables. The objective function was set to yield the lowest height difference, and the thickness reduction rate of the product was set to the target range. In addition, the height of the final shape was set as a constraint. The height difference was minimized successfully using the optimized design. The design process of the initial blank for all rectangular shapes can be automated in the future.

The Forced Motion Analyses by Using Two Dimensional 6-Node and Three Dimensional 16-Node Isoparametric Elements with Modification of Gauss Sampling Point (6절점 2차원 및 16절점 3차원 등매개변수 요소의 가우스 적분점 수정을 이용한 강제진동 해석)

  • 김정운;권영두
    • Computational Structural Engineering
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    • v.8 no.4
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    • pp.87-97
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    • 1995
  • For the same configuration of two-dimensional finite element models, 6-node element exhibits stiffer bending stiffness than 8-node element. This is true in the relation between 16-node element and 20-node element for three-dimensional model. This stiffening phenomenon comes from the elimination of several mid nodes from full-node elements. Therefore, this may be called 'relative stiffness stiffening phenomenon'. It seems that there are a couple of ways to correct the stiffening effect, however, we could find only one effective method-the method of modification of Gauss sampling points-which passes the patch test and does not alter other kinds of stiffness, such as extensional stiffness. The quantity of modification is a function of Poisson's ratios of the constituent materials. We could obtain two modification equations, one for plane stress case and the other for plane strain case. This method can be extended to 3-dimensional solid elements. Except the exact plane strain cases, most 3-dimensional plates could be modeled successfully with 16-node element modified by the equation for the plane stress case. The effectiveness of the modification method is checked by applying it to several examples with excellent improvements. In numerical examples, beams with various boundary conditions are subjected to static and time-dependent loads. Free and forced motion analyses of beams and plates are also tested. The beam and plate may be composed of isotropic multilayers as well as a single layer.

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Experimental Validation of Isogeometric Optimal Design (아이소-지오메트릭 형상 최적설계의 실험적 검증)

  • Choi, Myung-Jin;Yoon, Min-Ho;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.5
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    • pp.345-352
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    • 2014
  • In this paper, the CAD data for the optimal shape design obtained by isogeometric shape optimization is directly used to fabricate the specimen by using 3D printer for the experimental validation. In a conventional finite element method, the geometric approximation inherent in the mesh leads to the accuracy issue in response analysis and design sensitivity analysis. Furthermore, in the finite element based shape optimization, subsequent communication with CAD description is required in the design optimization process, which results in the loss of optimal design information during the communication. Isogeometric analysis method employs the same NURBS basis functions and control points used in CAD systems, which enables to use exact geometrical properties like normal vector and curvature information in the response analysis and design sensitivity analysis procedure. Also, it vastly simplify the design modification of complex geometries without communicating with the CAD description of geometry during design optimization process. Therefore, the information of optimal design and material volume is exactly reflected to fabricate the specimen for experimental validation. Through the design optimization examples of elasticity problem, it is experimentally shown that the optimal design has higher stiffness than the initial design. Also, the experimental results match very well with the numerical results. Using a non-contact optical 3D deformation measuring system for strain distribution, it is shown that the stress concentration is significantly alleviated in the optimal design compared with the initial design.

Development of 3D Dynamic Numerical Simulation Method on a Soil-Pile System (지반-말뚝 시스템에 대한 3차원 동적 수치 모델링 기법 개발)

  • Kim, Seong-Hwan;Na, Seon-Hong;Han, Jin-Tae;Kim, Sung-Ryul;Sun, Chang-Guk;Kim, Myoung-Mo
    • Journal of the Korean Geotechnical Society
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    • v.27 no.5
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    • pp.85-92
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    • 2011
  • The dynamic behavior of piles becomes very complex due to soil-pile dynamic interaction, soil non-linearity, resonance phenomena of soil-pile system and so on. Therefore, the proper numerical simulation of the pile behavior needs much effort and calculation time. In this research, a new modeling method, which can be applied to the conventional finite difference analysis program FLAC 3D, was developed to reduce the calculation time. The soil domain in this method is divided into a near-field region and a far-field region, which is not influenced by the soil-pile dynamic interaction. Then, the ground motion of the far-field is applied to the boundaries of the near-field instead of modeling the far-field region as finite meshes. In addition, the soil non-linearity behavior is modeled by using the hysteretic damping model, which determines the soil tangent modulus as a function of shear strain and the interface element was applied to simulate the separation and slip between the soil and pile. The proposed method reduced the calculation time by as much as one third compared with a usual modeling method and maintained the accuracy of the calculated results. The calculated results by the proposed method showed a good agreement with the prototype pile behavior, which was obtained by applying a similitude law to the 1-g shaking table test results.

Fundamental Study on the Reinforcing Effect of Reinforced Clayey Soil with Nonwoven-geotextile (부직포 보강 점성토의 보강효과에 관한 기초적 연구)

  • 김유성;이재열
    • Geotechnical Engineering
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    • v.14 no.4
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    • pp.61-76
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    • 1998
  • Various kinds of reinforced soil methods have been developed by many researchers or companies for their economic merits mainly. These methods have generally used sandy soils which have high permeability as embanking or backfill material. That is because, if poor embanking materials, especially like a clayey soil which has very low permeability, are used in a reinforced soil embanking, and if excessive pore water pressure is produced by external factors, the friction resistance between reinforcing members and Boils decrease, as a result possible damage or collapse of the body of a reinforced embankment. In fact, clayey Boils can also be used as a embanking materials with reinforcement which has high permeable capacity, and are expected to be able to dissipate the excess pore water pressure effectively. In this study reinforcing effects have been examined through a serries of direct shear tests in which clayey soils are reinforced with nonwoven geotextiles of which permeability is very high and tensile strength is relatively weaker than geogrids which are usually used in reinforced soil wall. Even though such nonwoven geotextile are used as reinforcement of high saturated clayey soils. the test results show the possibility that nonwoven geoteztiles could be used as a reinforcement for reinforced soil walls effectively.

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Dispersion in the Unsteady Separated Flow Past Complex Geometries (복합지형상에서 비정상 박리흐름에 의한 확산)

  • Ryu, Chan-Su
    • Journal of the Korean earth science society
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    • v.22 no.6
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    • pp.512-527
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    • 2001
  • Separated flows passed complex geometries are modeled by discrete vortex techniques. The flows are assumed to be rotational and inviscid, and a new techlnique is described to determine the stream functions for linear shear profiles. The geometries considered are the snow cornice and the backward-facing step, whose edges allow for the separation of the flow and reattachment downstream of the recirculation regions. A point vortex has been added to the flows in order to constrain the separation points to be located at the edges, while the conformal mappings have been modified in order to smooth the sharp edges and to let the separation points free to oscillate around the points of maximum curvature. Unsteadiness is imposed to the flow by perturbing the vortex location, either by displacing the vortex from the equilibrium, or by imposing a random perturbation with zero mean to the vortex in equilibrium. The trajectories of passive scalars continuously released upwind of the separation point and trapped by the recirculating bubble are numerically integrated, and concentration time series are calculated at fixed locations downwind of the reattachment points. This model proves to be capable of reproducing the trapping and intermittent release of scalars, in agreement with the simulation of the flow passed a snow cornice performed by a discrete multi-vortex model, as well as with direct numerical simulations of the flow passed a backward-facing step. The results of simulation indicate that for flows undergoing separation and reattachment the unsteadiness of the recirculating bubble is the main mechanism responsible for the intense large-scale concentration fluctuations downstream.

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Bending Effect of Laminated Plates with a Circular Hole Repaired by Single-Sided Patch Based on p-Convergent Full Layerwise Model (p-수렴 완전층별모델에 의한 일면패치로 보강된 원공 적층판의 휨효과)

  • Woo, Kwang-Sung;Yang, Seung-Ho;Ahn, Jae-Seok;Shin, Young-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.5
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    • pp.463-474
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    • 2009
  • Double symmetric patch repair of existing structures always causes membrane action only, however, in many cases this technique is not practical. On the other hand, the bending stiffness of the patch and the skin increases as tensile loading is increased and affects the bending deformation significantly in the case of single-sided patch repair. In this study, the p-convergent full layerwise model has been proposed to determine the stress concentration factor in the vicinity of a circular hole as well as across the thickness of plates with single-sided patch repair. In assumed displacement field, the strain-displacement relations and 3-D constitutive equations of a layer are obtained by the combination of 2-D and 3-D hierarchical shape functions. The transfinite mapping technique has been used to represent a circular boundary and Gauss-Lobatto numerical integration is implemented in order to directly obtain stresses occurred at the nodal points of each layer without other extrapolation techniques. The accuracy and simplicity of the present model are verified with comparison of the previous results in literatures using experiment and conventional 3-D finite element. Also, the bending effect has been investigated with various patch types like square, circular and annular shape.

수직방향으로 적층된 InAs 양자점의 광학적 특성

  • 김광무;노정현;박영민;박용주;나종범;김은규;방정호
    • Proceedings of the Korean Vacuum Society Conference
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    • 1999.07a
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    • pp.93-93
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    • 1999
  • 양자점(Quantum dot : QD)를 이용한 소자를 만들기 위해서는 수직방향으로의 적층이 필수적이다. 양자점의 적층은 수직적으로 같은 위치에 정렬하므로, 고려되어야 할 요소로는 양자점간의 파동함수의 중첩(coupling)에 의한 특성변화, 적층의 진행에 따른 변형(strain)의 증가로 기인되는 volcano 모양으로 나타나는 결함등이 있다. 이러한 결함은 nonradiative recombination center로 작용하여 오히려 효율이 떨어지게 되는 현상이 발생하게 되므로 본 연구에서는 적층횟수에 따른 발광효율의 변화를 조사하여 소자응용에 적절한 적층 조건을 조사하였다. 시료성장은 molecular beam epitaxy (MBE) 장치를 이용하여 GAs(100) 기판위에 GaAs buffer를 58$0^{\circ}C$에서 150nm 성장후 InAs/GaAs 양자점과 50$0^{\circ}C$에서 적층회수 1, 3, 6, 10, 15, 20회로 하였으며 적층성장 이후 GaAs cap layer를 성장하였다. GaAs spacing과 cap layer의 성장온도 역시 50$0^{\circ}C$이며 시료의 분석은 photoluminescence (PL)과 scanning transmission electron microscope (STEM)으로 하였다. 적층횟수를 바꾸어 시료를 성장하기 전에 적층횟수를 10회로 고정하고 spacing 두께를 2.8nm, 5.6nm, 11.2nm로 바꾸어 성장하여 PL 특성을 관찰하여본 결과 spacing이 2.8nm인 경우 수직적으로 정렬된 양자점 간에 coupling이 매우 커서 single layer QD의 PL peak에 비해 약 100nm 정도 파장이 증가하였고, spacing의 두께가 11.2nm 일 경우는 single layer QD와 거의 같은 파장의 빛을 방출하여 중첩이 거의 일어나지 않지만 두꺼운 spacing때문에 PL세기가 감소하였다. 한편, 적층회수에 따른 광학적 특성을 PL로 조사하여 본 결과 peak 파장은 적층횟수가 1회에서 3회로 증가했을 때는 blue shift 하다가 이후 적층이 증가함에 따라 red shift 하였다. 그리고 10층 이상의 적층에서는 excited state에서 기인된 peak이 검출되었다. 이렇나 원인은 적층수가 증가함에 따라 carrier life time이 증가하여 exciter state에 carrier가 존재할 확률이 증가하기 때문으로 생각된다. 또한 PL 세기가 다소 증가하다가 10층 이상의 경우는 다시 감소함을 알 수 있었다. 반치폭도 3층과 6층에서 가장 적은 값을 보였다. 이와 같은 결과는 결함생성과 관련하여 STEM 분석으로 해석되어질 수 있는데 6층 적층시는 양자점이 수직적으로 정렬되어 잘 형성됨을 관찰할 수 있었고 적층에 따른 크기 변화도 거의 나타나지 않았다. 그러나 10층 15층 적층시 몇가지 결함이 형성됨을 볼수 있었고 양자점의 정렬도 완전하게 이루어지지 않음을 볼 수 있었다. 그러므로 수직적층된 InAs 양자점의 광학적 특성은 성장조건에 따른 결함생성과 밀접한 관련이 있으며 상세한 논의가 이루어질 것이다.

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Carrying Capacity Behavior of Instrumented PC Piles (시험 콘크리트 말뚝의 지지력 거동)

  • 이영남;이종섭
    • Geotechnical Engineering
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    • v.14 no.5
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    • pp.163-172
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    • 1998
  • To study the carrying capacity behavior of pile, dynamic pile testis and static load tests were carried out on two instrumented piles during and some time after pile driving. Cone Penetration Test( CPT) and Standard Penetration Test(SPT) were also performed at the test site before pile tests to investigate the relationship between unit skin friction of piles and cone tip resistance values and SPT N values. Total static capacity of pile reached the ultimate stage at the pile head settlement of about 0.055D (D : Pile diameter), at which skin friction of Pile already Passed the maximum value, but the end bearing was still increasing with the pile head settlement. The carrying capacity of pile increased in the form of natural logarithmic function with the time after pile driving. The increase in skin friction with time was very substantial the increase in skin friction 40 days after pile driving was 4.6 times of that determined during pile driving. The contribution of skin friction to the total capacity twas insignificant in the beginning, but became substantial 40 days after pile driving. This implies that the tested pile initially responded as an end bearing pile and later behaved as a friction pile. It was also noted that unit skin friction of pile might be ielated to cone tip resistance values(q.) and SPT N values, though the coefficient of this relationship might differ from one soil group to another and was somewhat greater than the value used in the design practice of Korea.

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Fiber Distribution Characteristics and Flexural Performance of Extruded ECC Panel (압출성형 ECC 패널의 섬유분포 특성과 휨 성능)

  • Lee, Bang-Yeon;Han, Byung-Chan;Cho, Chang-Geun;Kwon, Young-Jin;Kim, Yun-Yong
    • Journal of the Korea Concrete Institute
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    • v.21 no.5
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    • pp.573-580
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    • 2009
  • This paper presents the mix composition, production method, and curing condition applied to the extruded ECC(Engineered Cementitious Composite) panel which are able to exhibit multiple cracking and potential pseudo strain-hardening behavior. In addition to the production technique of extruded ECC panel, the effect of fiber distribution characteristics, which are uniquely created by applying extrusion process, on the flexural behavior of the panel is also focussed. In order to demonstrate fiber distribution, a series of experiments and analyses, including image processing/analysis and micro-mechanical analysis, was performed. The optimum mix composition of extruded ECC panel was determined in terms of water matrix ratio, the amount of cement, ECC powder, and silica powder. It was found that flexural behavior of extruded ECC panel was highly affected by the slight difference in mix composition of ECC panel. This is mainly because the difference in mix composition results in the change of micro-mechanical properties as well as fiber distribution characteristics, represented by fiber dispersion and orientation. In terms of the average fiber orientation, the fiber distribution was found to be similar to the assumption of two dimensional random distribution, irrespective of mix composition. In contrast, the probability density function for fiber orientation was measured to be quite different depending on the mix composition.