• 소음진동
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• 제10권2호
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• pp.353-360
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• 2000

Numerical methods are developed for calculating the natural frequencies and mode shapes of the tapered cantilever arches with variable curvature. The differential equations governing the free vibrations of such arches are derived and solved numerically, in which the effect of rotatory inertia is included. The parabolic shape is chosen as the arch with variable curvature while both the prime and quadratic arched members are considered as the tapered arch with variable curvature while both the prime and quadratic arched members are considered as the tapered arch. Comparisons the natural jfrequencies between this study and finite element method SAP 90 seve to validate the numerical method developed herein. The lowest four natural frequencies are reported as a function of four non-dimensional system parameters. The effects of both the rotatory inertia and cross-sectional shape are reported. Also, the typical mode shapes of stress resultants as well as the displacements are reported.

• Journal of Korean Vacuum Science & Technology
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• 제1권1호
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• pp.19-23
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• 1997

The conductance of a microscopic constriction in a two-dimensional electron gas is obtained as a function of both the constriction width and curvature. When the quantized conductance G at plateaus is given by the channel number Nc times the quantum unit 2e2/h, Nc is found to be a function of not only the width and but also the curvature. At a given W, Nc increases by one whenever the constriction curvature decreases by about a certain value. Until the shape smoothness becomes comparable to the two parallel boundaries, there exist more channels avaliable for conduction in a smaller-curvature constriction than in a larger-curvature one. This result is very interesting because Nc has been considered to depend on the width W only. this reflects that the number of the quantized transverse levels depend o both the constriction width and curvature in a two-dimensional electron gas.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2007년도 정기 학술대회 논문집
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• pp.577-582
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• 2007

A variational formulation for plane elasticity problems is derived based on an isogeometric approach. The isogeometric analysis is an emerging methodology such that the basis functions in analysis domain arc generated directly from NURBS (Non-Uniform Rational B-Splines) geometry. Thus. the solution space can be represented in terms of the same functions to represent the geometry. The coefficients of basis functions or the control variables play the role of degrees-of-freedom. Furthermore, due to h-. p-, and k-refinement schemes, the high order geometric features can be described exactly and easily without tedious re-meshing process. The isogeometric sensitivity analysis method enables us to analyze arbitrarily shaped structures without re-meshing. Also, it provides a precise construction method of finite element model to exactly represent geometry using B-spline base functions in CAD geometric modeling. To obtain precise shape sensitivity, the normal and curvature of boundary should be taken into account in the shape sensitivity expressions. However, in conventional finite element methods, the normal information is inaccurate and the curvature is generally missing due to the use of linear interpolation functions. A continuum-based adjoint sensitivity analysis method using the isogeometric approach is derived for the plane elasticity problems. The conventional shape optimization using the finite element method has some difficulties in the parameterization of boundary. In isogeometric analysis, however, the geometric properties arc already embedded in the B-spline shape functions and control points. The perturbation of control points in isogeometric analysis automatically results in shape changes. Using the conventional finite clement method, the inter-element continuity of the design space is not guaranteed so that the normal vector and curvature arc not accurate enough. On tile other hand, in isogeometric analysis, these values arc continuous over the whole design space so that accurate shape sensitivity can be obtained. Through numerical examples, the developed isogeometric sensitivity analysis method is verified to show excellent agreement with finite difference sensitivity.

• 한국도로학회논문집
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• 제10권4호
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• pp.9-18
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• 2008

줄눈 콘크리트포장(JCP-Jointed Concrete Pavement)의 경우 포장단면 온 습도차에 의해 슬래브 내의 컬링이 발생하게 된다. 컬링에 의해서 발생하는 슬래브의 휨 형상 및 크기는 포장내 응력 및 평탄성에 영향을 미치기 때문에 포장의 구조적, 기능적 성능에 중요한 영향을 줄 수 있다. 슬래브의 휨 형상을 직접 측정하는 것은 시공초기에 포장내에 다량의 계측기를 매설하여야 하며, 시공초기부터 거동의 정교한 측정이 필요하고 고가의 실험비용 및 기술적 인 어려움을 갖고 있다. 본 연구에서는 현장에서 손쉽게 획득할 수 있는 프로파일 데이터(Profile Data)에 파워 스펙트럼 분석(Power Spectrum Density Analysis) 및 역 푸리에 변환(Inverse Fast Fourier Transform) 기법 등을 적용하여 임의의 시간에서 줄눈 콘크리트포장의 슬래브 휨 형상을 측정하는 방법을 개발하였다. 개발한 기법의 실효성을 검증하기 위하여 국내 중부내륙에 위치한 시험도로 줄눈 콘크리트 포장에서 시간대별 프로파일을 측정하고 이 데이터로부터 슬래브 휨 형상을 도출하여 그 결과를 검토하였다. 또한 동 시간대의 연속철근 콘크리트포장(CRCP- Continuous Reinforced concrete Pavement) 구간에서의 프로파일 데이터를 분석하고 이를 줄눈 콘크리트포장에서의 결과와 비교하여 개발한 슬래브 휨 형상 추출기법의 타당성을 검증하였다.

• 정보처리학회논문지B
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• 제12B권5호
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• pp.527-534
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• 2005

영상에 회전이나 크기 변형이 가해지면 영상을 구성하는 점들의 좌표값들이 변경되어 형태 기술 및 인식이 어렵게 된다. 그러나 영상을 구성하는 점들 간의 위치관계나 무게중심과의 위치 관계는 변하지 않는다. 따라서 x-y 좌표계로 기술되는 영상 공간의 점들을 회전 및 크기 변형에 불변하는 새로운 좌표계로 사상할 수 있다면, 형태 기술 및 인식의 문제는 보다 수월해진다. 본 논문에서는 영상 공간의 점들을 회전 및 크기 변형에 무관한 새로운 특징 공간으로 사상하여 형태를 기술하는 방법을 제안한다. 특징 공간을 나타내는 새로운 좌표계는 무게중심으로부터의 상대거리와 윤곽선 세그먼트 곡률을 두 축으로 하는 직교 좌표계이다. 상대거리는 윤곽선 상의 임의의 한 점이 무게중심에서 얼마나 멀리 벗어나 있는지를 나타내는 값이고, 윤곽선 세그먼트 곡률은 세그먼트의 굴곡도를 나타내는 값이다. 특징 공간에 사상된 점들의 형태 기술은 메쉬 특징을 통해 이루어진다. 실험을 통해 제안된 형태 기술 방법이 회전 및 크기 변형에 강건함을 확인하였다.

• 한국의류학회지
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• 제33권3호
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• pp.401-409
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• 2009

The shape of crotch area is very important to develop functional clothing as well as other ergonomic goods such as chair or saddle etc. However, it is inevitable that 3D scanned image of crotch would have missing part due to its folded shape including overlapping legs nearby. Therefore, the objectives of this research was to compare reconstruction methods of missing parts at crotch using seven dummies of real men's replicas. Two reconstruction methods adopted were kinds of 'fill- hole' in Rapidform 2004, one was 'smooth' and the other was 'curvature'. Each restored image was compared with the original shape of the dummies. As results, the average distance was 0.66mm between original and 'smooth' treated images and 0.59mm between original and 'curvature' treated, which was not statistically different. Average area of restored crotch region was $8740.04cm^2$ by 'smooth' method and $8405.02cm^2$ by 'curvature' method which is close to the original area of $8413.76cm^2$. Statistical difference was found between images of original and 'smooth' ones$(p=0.04^*)$. However, there was no difference between original and 'curvature' treated images, which indicates that 'curvature' method is more useful to fill the hole compared with 'smooth' method.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2001년도 제14회 신호처리 합동 학술대회 논문집
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• pp.403-406
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• 2001

We propose an algorithm for extracting the boundary of an object. In order to take full advantage of global shape, our approach uses global shape parameters derived from Point Distribution Model (PDM). Unlike PDM, the proposed method models global shape using curvature as well as edge. The objective function of applying the shape model is formulated using Bayesian rule. We can extract the boundaries of an object by evaluating iteratively the solution maximizing the objective function. Experimental results show that the proposed method can reduce computation cost than the PDM and it is robust to noise, pose variation, and some occlusion.

• 한국정밀공학회지
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• 제20권1호
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• pp.85-90
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• 2003

Removal rate and Within Wafer Non-Uniformity (WIWNU), the most critical issues in Chemical Mechanical Polish (CMP) process, are related to the pressure distribution, wafer shape, slurry flow, mechanical property of pad and etc. Among them, wafer warp generated by other various manufacturing process of wafer may induce the deviation of pressure distribution on the backside of wafer. In the convex shaped wafer the pressure onto the backside of wafer is higher than that of perfectly flat shaped wafer. Besides, such an added pressure is in proportion to the curvature of wafer. That is, the bigger the curvature of wafer becomes the higher the removal rate goes. And the WIWNU is known to be directly related to the pressure distribution on the wafer as well. In other words, the deviation of pressure distribution is in proportion to the WIWNU. In this paper, it is found that the wafer shape may be modified through heating the backside of it and thus properly changed pressure onto the backside of it may improve the WIWNU.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 1997년도 추계학술대회논문집
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• pp.110-114
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• 1997

The major object in this report is the curvature prediction of front end downward bending in plate rolling. Because of relations front end shape and curvature in plate, many simulations were carried out to obtain empirical model. Simulation conditions, for example the position and the size of bottom stripper or roller table etc., were limited to the POSCO conditions. Though the result in this report can be applied to the special case, the tendency of this result is similar to the many cases. So the empirical model equation can be improved or expanded to many simulation conditions.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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• pp.94-103
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• 2002

Accurately controlling the shape of the read/write head structure is critical in the performance of a modern hard disk drive. The sliders investigated are composed of alumina and titanium carbide (AlTiC) and act as an air bearing when passing over the disks. Controlling the curvature of the slider is of primary importance. A laser scribing system that produces curvature by Inducing residual stress into the slider can be utilized. Predicting the curvature created by a pattern of scribes is of great importance to increase the control over the sliders' shape. Using finite element analysis a force system that produces stresses similar to the laser scribing is applied. The curvatures created by the force system are calibrated to experimental measurements.