• 제목/요약/키워드: Geodesic

검색결과 297건 처리시간 0.027초

고충진 압출성형 합성목재를 이용한 모듈러 돔의 구조모델링에 관한 연구 (A Study of Modular Dome Structural Modeling with Highly Filled Extrusion Wood-Plastic Composite Member)

  • 손수덕;곽의신;이승재
    • 한국구조물진단유지관리공학회 논문집
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    • 제19권2호
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    • pp.76-83
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    • 2015
  • 본 연구의 목적은 고충진 합성목재를 이용하여 친환경 모듈러 돔 구조시스템을 개발하고 부재와 절점을 모듈화하여 실제 구조체을 제작하는 것이다. 기존의 합성목재에 비해 높은 70% 목분함량 합성목재를 돔 구조모델의 부재로 이용하였고, 정이십면체 기반 지오데직 돔의 기하학적 특성을 분석하여 절점과 부재를 모듈화 하였다. 돔의 제작을 위한 모듈화와 실제 구조물의 제작과정의 연구결과로부터 6가지 절점과 3개의 부재종류의 모듈러 돔에 대한 적용성을 검토할 수 있었다. 또한 해석결과에서 최저차 좌굴모드는 경계부의 절점에서 절점좌굴이 예상되었다.

Shape optimization for partial double-layer spherical reticulated shells of pyramidal system

  • Wu, J.;Lu, X.Y.;Li, S.C.;Zhang, D.L.;Xu, Z.H.;Li, L.P.;Xue, Y.G.
    • Structural Engineering and Mechanics
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    • 제55권3호
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    • pp.555-581
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    • 2015
  • Triangular pyramid and Quadrangular pyramid elements for partial double-layer spherical reticulated shells of pyramidal system are investigated in the present study. Macro programs for six typical partial double-layer spherical reticulated shells of pyramidal system are compiled by using the ANSYS Parametric Design Language (APDL). Internal force analysis of six spherical reticulated shells is carried out. Distribution regularity of the stress and displacement are studied. A shape optimization program is proposed by adopting the sequence two-stage algorithm (RDQA) in FORTRAN environment based on the characteristics of partial double-layer spherical reticulated shells of pyramidal system and the ideas of discrete variable optimization design. Shape optimization is achieved by considering the objective function of the minimum total steel consumption, global and locality constraints. The shape optimization of six spherical reticulated shells is calculated with the span of 30m~120m and rise to span ratio of 1/7~1/3. The variations of the total steel consumption along with the span and rise to span ratio are discussed with contrast to the results of shape optimization. The optimal combination of main design parameters for six spherical reticulated shells is investigated, i.e., the number of the optimal grids. The results show that: (1) The Kiewitt and Geodesic partial double-layer spherical reticulated shells of triangular pyramidal system should be preferentially adopted in large and medium-span structures. The range of rise to span ratio is from 1/6 to 1/5. (2) The Ribbed and Schwedler partial double-layer spherical reticulated shells of quadrangular pyramidal system should be preferentially adopted in small-span structures. The rise to span ratio should be 1/4. (3) Grids of the six spherical reticulated shells can be optimized after shape optimization and the total steel consumption is optimized to be the least.

Wallerian Degeneration of Insufficiently Affected White Matters in Old Infarction: Tract of Interest Analysis of Diffusion Tensor Imaging

  • Choi, Chi-Hoon;Lee, Jong-Min;Koo, Bang-Bon;Park, Jun-Sung;Kwon, Jun-Soo;Kim, Sun-I.
    • 대한의용생체공학회:의공학회지
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    • 제28권3호
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    • pp.317-324
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    • 2007
  • The application of diffusion tensor imaging (DTI) and fiber tractography to Wallerian degeneration (WD) is important because this technique is a very potent tools for quantitatively evaluating fiber tracts in vivo brain. We analyzed a case and control using tracts of interest (TOI) analysis to quantify WD. We scanned a case of old infarction and an age-matched healthy volunteer. T1 magnetization prepared rapid acquisition gradient echo (MPRAGE), fluid attenuated inversion recovery (FLAIR) and 12-direction diffusion tensor imaging (DTI) were obtained and analyzed using TOI analysis. The value of mean diffusity ($D_{av}$) and fracional anisotrophy (FA) were analyzed statistically by MWU test. A p-value of less than 0.05 was considered to indicate statistical significance. A comparison of the global fiber diffusion characteristics shows WD of both the corpus callosum and the ipsilateral superior longitudinal fasciculus. The corpus callosum in particular showed trans-hemispherical degeneration. Local fiber characteristics along the geodesic paths show WD in the corpus callosum, ipsilateral superior longitudinal fasciculus, ipsilateral corticospinal tract, and ipsilateral corticothalamic tract. We have demonstrated changes in $D_{av}$ and FA values and a clear correspondence with the WD in various tracts. TOI analysis successfully revealed radial WD in white matter tracts from a region of encephalomalacia and primary gliosis, although they were only slightly affected.

외형에 따른 지붕 막구조물의 풍하중 영향 고찰 (A Study on the Effects of Wind Load of Membrane Roof Structures according to External Form)

  • 고광웅;장명호;이장복;서삼열
    • 한국공간구조학회:학술대회논문집
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    • 한국공간구조학회 2008년도 춘계 학술발표회 논문집
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    • pp.15-18
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    • 2008
  • 대공간 구조는 3차원적인 힘의 흐름과 면내력에 의해 외부하중에 대한 저항능력을 확보하는 형태 저항형 구조로서, 구조물 자체의 곡률을 이용하여 면외방향으로 작용하는 외력을 주로 면내력으로 저항할 수 있게한 구조시스템이다. 그러므로, 연성구조물의 일종인 막구조물은 대공간 구조물을 보다 효과적으로 구축할 수 있다. 이러한 막구조물은 지진이나 고정하중에 의한 영향보다 바람의 의한 영향이 매우 중요하다고 볼 수 있다. 또한, 풍하중은 주변 환경 및 구조물의 형태에 따라 그 크기가 매우 다르게 나타난다. 본 논문에서는, 우리나라에서 풍하중의 영향을 가장 많이 받은 지역들 중에 건설된, 2개 경기장의 설계 풍하중과 풍동실험 결과값들을 비교 검토해 보고자 한다.

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Influence of fiber paths on buckling load of tailored conical shells

  • Naderi, Ali-Asghar;Rahimi, Gholam-Hossein;Arefi, Mohammad
    • Steel and Composite Structures
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    • 제16권4호
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    • pp.375-387
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    • 2014
  • The purpose of this paper is to propose a method for evaluation of varying stiffness coefficients of tailored conical shells (TCS). Furthermore, a comparison between buckling loads of these shells under axial load with the different fiber path is performed. A circular truncated conical shell subjected to axial compression is taken into account. Three different theoretical path containing geodesic path, constant curvature path and constant angle path has been considered to describe the angle variation along the cone length, along cone generator of a conical shell are offered. In the TCS with the arbitrary fiber path, the thickness and the ply orientation are assumed to be functions of the shell coordinates and influencing stiffness coefficients of the structure. The stiffness coefficients and the buckling loads of shells are calculated basing on classical shells theory (CST) and using finite-element analysis (FEA) software. The obtained results for TCS with arbitrary fiber path, thickness and ply orientation are derived as functions of shell longitudinal coordinate and influencing stiffness coefficients of structures. Furthermore, the buckling loads based on fiber path and ply orientation at the start of tailored fiber get to be different. The extent of difference for tailored fiber with start angle lower than 20 degrees is not significant. The results in this paper show that using tailored fiber placement could be applied for producing conical shells in order to have greater buckling strengths and lower weight. This work demonstrates the use of fiber path definitions for calculated stiffness coefficients and buckling loads of conical shells.

LINEAR EDGE GEODETIC GRAPHS

  • Santhakumaran, A.P.;Jebaraj, T.;Ullas Chandran, S.V.
    • Journal of applied mathematics & informatics
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    • 제30권5_6호
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    • pp.871-882
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    • 2012
  • For a connected graph G of order $n$, an ordered set $S=\{u_1,u_2,{\cdots},u_k\}$ of vertices in G is a linear edge geodetic set of G if for each edge $e=xy$ in G, there exists an index $i$, $1{\leq}i$ < $k$ such that e lie on a $u_i-u_{i+1}$ geodesic in G, and a linear edge geodetic set of minimum cardinality is the linear edge geodetic number $leg(G)$ of G. A graph G is called a linear edge geodetic graph if it has a linear edge geodetic set. The linear edge geodetic numbers of certain standard graphs are obtained. Let $g_l(G)$ and $eg(G)$ denote the linear geodetic number and the edge geodetic number, respectively of a graph G. For positive integers $r$, $d$ and $k{\geq}2$ with $r$ < $d{\leq}2r$, there exists a connected linear edge geodetic graph with rad $G=r$, diam $G=d$, and $g_l(G)=leg(G)=k$. It is shown that for each pair $a$, $b$ of integers with $3{\leq}a{\leq}b$, there is a connected linear edge geodetic graph G with $eg(G)=a$ and $leg(G)=b$.

SOME EIGENFORMS OF THE LAPLACE-BELTRAMI OPERATORS IN A RIEMANNIAN SUBMERSION

  • MUTO, YOSIO
    • 대한수학회지
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    • 제15권1호
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    • pp.39-57
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    • 1978
  • It is given in the Lecture Note [1] of Berger, Gauduchon and Mazet that, if ${\pi}$n: (${\tilde{M}}$, ${\tilde{g}}$)${\rightarrow}$(${\tilde{M}}$, ${\tilde{g}}$) is a Riemannian submersion with totally geodesic fibers, ${\Delta}$ and ${\tilde{\Delta}}$ are Laplace operators on (${\tilde{M}}$, ${\tilde{g}}$) and (M, g) respectively and f is an eigenfunction of ${\Delta}$, then its lift $f^L$ is also an eigenfunction of ${\tilde{\Delta}}$ with the common eigenvalue. But such a simple relation does not hold for an eigenform of the Laplace-Beltrami operator ${\Delta}=d{\delta}+{\delta}d$. If ${\omega}$ is an eigenform of ${\Delta}$ and ${\omega}^L$ is the horizontal lift of ${\omega}$, ${\omega}^L$ is not in genera an eigenform of the Laplace-Beltrami operator ${\tilde{\Delta}}$ of (${\tilde{M}}$, ${\tilde{g}}$). The present author has obtained a set of formulas which gives the relation between ${\tilde{\Delta}}{\omega}^L$ and ${\Delta}{\omega}$ in another paper [7]. In the present paper a Sasakian submersion is treated. A Sasakian manifold (${\tilde{M}}$, ${\tilde{g}}$, ${\tilde{\xi}}$) considered in this paper is such a one which admits a Riemannian submersion where the base manifold is a Kaehler manifold (M, g, J) and the fibers are geodesics generated by the unit Killing vector field ${\tilde{\xi}}$. Then the submersion is called a Sasakian submersion. If ${\omega}$ is a eigenform of ${\Delta}$ on (M, g, J) and its lift ${\omega}^L$ is an eigenform of ${\tilde{\Delta}}$ on (${\tilde{M}}$, ${\tilde{g}}$, ${\tilde{\xi}}$), then ${\omega}$ is called an eigenform of the first kind. We define a relative eigenform of ${\tilde{\Delta}}$. If the lift ${\omega}^L$ of an eigenform ${\omega}$ of ${\Delta}$ is a relative eigenform of ${\tilde{\Delta}}$ we call ${\omega}$ an eigenform of the second kind. Such objects are studied.

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양방향 곡선 전개를 이용한 개선된 형태 추출 (Improved Shape Extraction Using Inward and Outward Curve Evolution)

  • 김하형;김성곤;김두영
    • 융합신호처리학회논문지
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    • 제1권1호
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    • pp.23-31
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    • 2000
  • 본 논문에서는 물체의 경계나 형태 추출을 위하여 레벨 세트 이론을 바탕으로 한 새로운 곡선 전개방법을 제안한다. 특히 전처리 과정에서 잡음의 효과적 처리를 위하여 기존의 필터 방식들이 가지는 단점인 경계 부분의 bluning 현상을 줄이고 정확한 에지 위치를 보존할 수 있는 비등방성 확산 필터(anisotropic diffusion filter)를 사용한다. 기존의 레벨 세트 방식이 수축이나 팽창 중 단지 한가지의 방식만 적용되어지는 반면, 제안한 방법은 물체의 경계 추출시 팽창과 수축이 통시에 가능하므로 특히 초기 곡선이 여러 물체에 걸쳐져 있는 경우에도 정확한 형태 추출이 가능하였다. 아울러 초기 곡선의 설정이 위치나 형태에 거의 제한을 받지 않기 때문에 추출을 원하는 영역이 아주 조금만 포함되어 있어도 정화한 형태 추출이 가능하였다.

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MRI 뇌 영상에서 웨이브릿 변환과 자동적인 임계치 설정을 이용한 뇌실 검출 (Detection of Brain Ventricle by Using Wavelet Transform and Automatic Thresholding in MRI Brain Images)

  • 원철호;김동훈;우상효;이정현;김창욱;정윤수;조진호
    • 한국멀티미디어학회논문지
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    • 제10권9호
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    • pp.1117-1124
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    • 2007
  • 본 논문에서는 MRI 뇌 영상에서 뇌실 영역을 검출하기 위하여 자동적으로 임계치를 설정하는 방법을 제안하였다. 웨이브릿 변환 후 수평 및 수직 신호의 상세 신호 크기를 이용하여 물체의 윤곽선에서 상세신호의 크기 평균을 의미하는 에지 선예도를 계산하였다. 영역 성장을 위한 임계치를 반복적으로 증가시켜 에지 선예도가 최대일 때 최적 임계치를 설정하여 뇌실 영역을 검출하였다. 본 논문에서는 제안한 방법과 지오데식 동적 윤곽선 모델을 수치적으로 비교하였으며, 실제 MRI 뇌영상에 적용시켜 제안한 알고리즘의 유효성을 검증하였다.

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Geodetic monitoring on onshore wind towers: Analysis of vertical and horizontal movements and tower tilt

  • Canto, Luiz Filipe C.;de Seixas, Andrea
    • Structural Monitoring and Maintenance
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    • 제8권4호
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    • pp.309-328
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    • 2021
  • The objective of this work was to develop a methodology for geodetic monitoring on onshore wind towers, to ascertain the existence of displacements from object points located in the tower and at the foundation's base. The geodesic auscultation was carried out in the Gravatá 01 and 02 wind towers of the Eólica Gravatá wind farm, located in the Brazilian municipality of Gravatá-PE, using a stable Measurement Reference System. To verify the existence of displacements, pins were implanted, with semi-spherical surfaces, at the bases of the towers being monitored, measured by means of high-precision geometric leveling and around the Gravatá 02 tower, concrete landmarks, iron rods and reflective sheets were implanted, observed using geodetic/topographic methods: GNSS survey, transverse with forced centering, three-dimensional irradiation, edge measurement method and trigonometric leveling of unilateral views. It was found that in the Gravatá 02 tower the average rays of the circular sections of the transverse welds (ST) were 1.8431 m ± 0.0005 m (ST01) and 1.6994 m ± 0.0268 m of ST22, where, 01 and 22 represent the serial number of the transverse welds along the tower. The average calculation of the deflection between the coordinates of the center of the circular section of the ST22 and the vertical reference alignment of the ST1 was 0°2'39.22" ± 2.83" in the Northwest direction and an average linear difference of 0.0878 m ± 0.0078 m. The top deflection angle was 0°8'44.88" and a linear difference of ± 0.2590 m, defined from a non-linear function adjusted by Least Squares Method (LSM).