• 제목/요약/키워드: shape distortion

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Completeness requirements of shape functions for higher order finite elements

  • Rajendran, S.;Liew, K.M.
    • Structural Engineering and Mechanics
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    • 제10권2호
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    • pp.93-110
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    • 2000
  • An alternative interpretation of the completeness requirements for the higher order elements is presented. Apart from the familiar condition, $\sum_iN_i=1$, some additional conditions to be satisfied by the shape functions of higher order elements are identified. Elements with their geometry in the natural form, i.e., without any geometrical distortion, satisfy most of these additional conditions inherently. However, the geometrically distorted elements satisfy only fewer conditions. The practical implications of the satisfaction or non-satisfaction of these additional conditions are investigated with respect to a 3-node bar element, and 8- and 9-node quadrilateral elements. The results suggest that non-satisfaction of these additional conditions results in poorer performance of the element when the element is geometrically distorted. Based on the new interpretation of completeness requirements, a 3-node element and an 8-node rectangular element that are insensitive to mid-node distortion under a quadratic displacement field have been developed.

왜곡 패턴 유형에 의한 다각형 기반 형상 부호화의 근사 정점 탐색 (Approximation Vertex Search of Polygon-based Shape Coding by the Type of Distortion Patterns)

  • 서정구;곽노윤;서범석;황병원
    • 디지털콘텐츠학회 논문지
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    • 제3권2호
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    • pp.197-209
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    • 2002
  • 다각형 기반 형상 부호화 기법은 정보량을 줄이기 위해 정점수를 줄일 경우, 근사 다각형 에지들 간의 연결이 원 윤곽선과는 다르게 급변함으로써 근사 오차가 급격히 증가한다. 반면에, 허용 왜곡을 작게 하여 근사 오차를 줄일 경우, 정점 수가 급격히 늘어나 정점을 부호화하기 위해 많은 정보량이 소요되는 문제점이 있다. 제안된 방법에 있어서, 부호기는 다각형 에지와 원 윤곽 세그먼트가 이루는 모양과 가장 유사한 왜곡 패턴의 유형을 찾아 부호화하고 복호기는 복호된 왜곡 패턴 정보로부터 근사 정점을 산술적으로 구해낸다. 이를 통해, 부가 정보의 증가를 효과적으로 억제시키면서도 전체적으로는 정점수가 늘어나 기존의 방법보다. 다각형 에지의 급속한 변화를 현저하게 완화시킴으로써 좀 더 부드러운 근사 모양 정보를 얻을 수 있다. 컴퓨터 시뮬레이션 결과를 통해 고찰할 때, 제안된 방법은 기존의 방식에 비해 왜곡이 적으며, 동일한 왜곡을 가지는 근사 모양 정보를 부호화하는데 필요한 비트량이 기존의 방법에 비해 대략 $10{\sim}20%$ 정도 감소함을 알 수 있다.

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소셜미디어 내의 또래 체형규범과 체형관련 또래압력이 초기 여자 청소년의 신체이미지 과대왜곡에 미치는 영향 (Influence of Peer Body Shape Norm and Peer Pressure Related to Body Shape on Social Media on Body Image Over-distortion of Early Adolescent Girls)

  • 홍지연;김두영;김윤경;박주희
    • Human Ecology Research
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    • 제62권3호
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    • pp.441-453
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    • 2024
  • This study aimed to explore the characteristics of early adolescent girls with an over-distorted body image and to examine the influence of peer descriptive norm and peer injunctive norm related to body shape and peer pressure for thinness on social media on body image over-distortion. The participants were 505 female adolescents in the 1st and 2nd grades of middle school. Descriptive statistics, frequency analysis, and binary logistic regression were used to analyze the data with SPSS 26.0. The results were as follows. First, the body image over-distortion group contained more 2nd-grader early adolescent girls than 1st graders and approximately three-quarters of the body image over-distortion group had previously attempted to lose weight. Second, peer pressure for thinness on social media significantly predicted whether early adolescent girls were in the body image over-distortion group compared to the non-distortion group. These outcomes suggest that it is necessary to create a social media culture that encourages early adolescent girls to have a realistic and healthy body shape. The results also highlight the importance of developing social media literacy education programs that inform early adolescents of the potential harm of negative comments on social media, and teach them how to recognize and dismiss indiscriminate and harmful comments and contents on social media.

Door Opening부의 보강재 형상변화에 따른 용접 변형 특성 (Welding Distortion Characteristics of Door Openings According to Changing Shape of Stiffener)

  • 이동훈;서정관;이명수;현충민
    • 한국해양공학회지
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    • 제33권2호
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    • pp.153-160
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    • 2019
  • Welding often results in welding distortion during the assembly process. The welding distortion of thin-plate structures such as the living quarters of ships and offshore installations is a more significant problem than in the case of thick-plate structures. Pre-stressing/heating and fairing, which are additional works to mitigate and control welding distortion, are inevitable, and the construction planning is accordingly delayed. In order to prevent welding distortion and minimize the additional work during the assembly process, increasing the plate thickness and/or the number of stiffeners may be a simple solution, but it may give rise to problems related to cost and weight. In this study, the welding distortion control effect of the type of stiffeners on the door openings of various living quarter structures was investigated using an experimental method and a finite element method. The results showed the feasibility of mitigating and controlling the welding distortion, and the optimum selection of the type of stiffeners was confirmed.

3D 메쉬 모델의 쉐이딩 시 시각적 왜곡을 방지하는 법선 벡터 압축에 관한 연구 (The Compression of Normal Vectors to Prevent Visulal Distortion in Shading 3D Mesh Models)

  • 문현식;정채봉;김재정
    • 한국CDE학회논문집
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    • 제13권1호
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    • pp.1-7
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    • 2008
  • Data compression becomes increasingly an important issue for reducing data storage spaces as well as transmis-sion time in network environments. In 3D geometric models, the normal vectors of faces or meshes take a major portion of the data so that the compression of the vectors, which involves the trade off between the distortion of the images and compression ratios, plays a key role in reducing the size of the models. So, raising the compression ratio when the normal vector is compressed and minimizing the visual distortion of shape model's shading after compression are important. According to the recent papers, normal vector compression is useful to heighten com-pression ratio and to improve memory efficiency. But, the study about distortion of shading when the normal vector is compressed is rare relatively. In this paper, new normal vector compression method which is clustering normal vectors and assigning Representative Normal Vector (RNV) to each cluster and using the angular deviation from actual normal vector is proposed. And, using this new method, Visually Undistinguishable Lossy Compression (VULC) algorithm which distortion of shape model's shading by angular deviation of normal vector cannot be identified visually has been developed. And, being applied to the complicated shape models, this algorithm gave a good effectiveness.

Branch and Bound Algorithm for the Facility Layout Problem Without Shape Distortion

  • Kim, Chae-Bogk;Kim, Yung-Sik;Lee, Dong-Hoon
    • 한국경영과학회지
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    • 제21권2호
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    • pp.59-70
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    • 1996
  • Given the flow matrix, plant size (rectangle shape) and department sizes, the algorithm in this paper provides the plant layout with rectilinear distance measure. To construct automated facility design, eigenvector approach is employed. A branch and bound computer code developed by Tillinghast is modified to find the feasible fits of departments without shape distortion (see [1])in the plant rectangle. The computational results compared with CRAFT are shown.

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직교형 2차원 진동절삭기의 기구학적 해석 및 진동 특성 고찰 (Kinematical Analysis and Vibrational Characteristics of Orthogonal 2-dimensional Vibration Assisted Cutting Device)

  • 노병국;김기대
    • 한국소음진동공학회논문집
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    • 제22권9호
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    • pp.903-909
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    • 2012
  • In elliptical vibration cutting(EVC) where the cutting tool traces a micro-scale 2-dimensional elliptical trajectory, the kinematical and vibrational characteristics of the EVC device greatly affect cutting performance. In this study, kinematical and vibrational characteristics of an EVC device constructed with two orthogonally-arranged stacked piezoelectric actuators were investigated both analytically and experimentally. The step voltage was applied to the orthogonal EVC device and the associated displacements of the cutting tool were measured to assess kinematical characteristics of the orthogonal EVC device. To investigate the vibrational characteristic of the orthogonal EVC, sinusoidal voltage was applied to the EVC device and the resulting displacements were measured. It was found from experiments that coupling of displacements in the thrust and cutting directions and the tilt of the major axis of the elliptical trajectory exists. In addition, as the excitation frequency is in vicinity of resonant frequencies the distortion in the shape of the elliptical trajectory becomes greater and change in the rotation direction occurs. To correct the shape distortion of the elliptical trajectory, the shape correcting procedure developed for the parallel EVC device was applied for the orthogonal EVC device and it was shown that the shape correcting method successfully corrects distortion.

정형보철용 금속이 자기공명영상에 미치는 영향 I (Effect of Metals used in Orthopedic on Magnetic Resonance Imaging I)

  • 김형균;최성대
    • 한국기계가공학회지
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    • 제11권4호
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    • pp.46-50
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    • 2012
  • Stainless steel and titanium used for orthopedic prosthetic metal, magnetic resonance imaging was measured quantitatively the extent of distortion. Based on reading tests at varying metal magnetic resonance imaging (MRI) were investigated. To two image acquisition conditions for having three metal bodies mutually quantitative it compared analyzed the image of cross direction and the image of lengthwise. As for the distortion of the magnetic resonance image, as for the distortion of image it became small in the order of Clip, Strainless and Titanium. In addition, with T1WI and T2WI which are image acquisition condition T2WI the distortion of image became small. As for the distortion of the image by the metal, you could see the distortion of image in elliptical shape, the metal a bigger image distortion appeared in many parts. If clinical doctor has the condition of the same operation, use the Titanium material, it can, raising the diagnostic value of magnetic resonance image inspection after the operating from Stainless.

객체 적응적인 정점 기반 윤곽선 부호화 기법 (A Vertex Based Coding Technique Adaptive to Object's Shape)

  • 조성중;홍민철;한헌수
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 추계종합학술대회 논문집(4)
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    • pp.97-100
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    • 2000
  • This paper presents a new approach to the vertex based shape coding technique. The conventional approaches encode objects using a spline method with the same distortion coefficients. The proposed approach, however, classifies the objects based on the object's features, and then applies different distortion values depending on the classified object types. Using this pre-classifying technique, this paper reduces the bit rate and the computational complexity necessary for the encoding process. The performance of the proposed method has been proved by experiments on the various sample Images.

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An improved parametric formulation for the variationally correct distortion immune three-noded bar element

  • Mukherjee, Somenath;Manju, S.
    • Structural Engineering and Mechanics
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    • 제38권3호
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    • pp.261-281
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    • 2011
  • A new method of formulation of a class of elements that are immune to mesh distortion effects is proposed here. The simple three-noded bar element with an offset of the internal node from the element center is employed here to demonstrate the method and the principles on which it is founded upon. Using the function space approach, the modified formulation is shown here to be superior to the conventional isoparametric version of the element since it satisfies the completeness requirement as the metric formulation, and yet it is in agreement with the best-fit paradigm in both the metric and the parametric domains. Furthermore, the element error is limited to only those that are permissible by the classical projection theorem of strains and stresses. Unlike its conventional counterpart, the modified element is thus not prone to any errors from mesh distortion. The element formulation is symmetric and thus satisfies the requirement of the conservative nature of problems associated with all self-adjoint differential operators. The present paper indicates that a proper mapping set for distortion immune elements constitutes geometric and displacement interpolations through parametric and metric shape functions respectively, with the metric components in the displacement/strain replaced by the equivalent geometric interpolation in parametric co-ordinates.