• 제목/요약/키워드: Sectional curvature

검색결과 203건 처리시간 0.03초

도심-전단중심 정식화를 이용한 개선된 곡선보이론 (Curved Beam Theory Based On Centroid-Shear Center Formulation)

  • 김남일;경용수;김문영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2006년도 정기 학술대회 논문집
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    • pp.1033-1039
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    • 2006
  • To overcome the drawback of currently available curved beam theories having non-symmetric thin-walled cross sections, a curved beam theory based on centroid-shear center formulation is presented for the spatially coupled free vibration and elastic analyses. For this, the elastic strain and kinetic energies considering the thickness-curvature effect and the rotary inertia of curved beam are derived by degenerating the energies of the elastic continuum to those of curved beam. And then the equilibrium equations and the boundary conditions are consistently derived for curved beams having non-symmetric thin-walled cross section. It is emphasized that for curved beams with L- or T-shaped sections, this thin-walled curved beam theory can be easily reduced to tl1e solid beam theory by simply putting the sectional properties associated with warping to zero. In order to illustrate the validity and the accuracy of this study, FE solutions using the Hermitian curved beam elements are presented and compared with the results by previous research and ABAQUS's shell elements.

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원심압축기 회전차 내부의 3차원 유동해석 (Calculation of 3-Dimensional Flow Through an Impeller of Centrifugal Compressor)

  • 강신형;최영석
    • 대한기계학회논문집
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    • 제19권10호
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    • pp.2617-2629
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    • 1995
  • The flow through a centrifugal compressor rotor was calculated using the quasi-3-dimensional and fully 3-dimensional Navier-Stokes solution methods. The calculated results, obtained during the development of the computer codes for both methods are discussed. In the inviscid quasi 3-dimensional analysis, stream function formulation was used for the blade to blade (B-B) plane calculations, and the streamline curvature method was used for the meridional (H-S) plane calculations. In the viscous 3-dimensional flow analysis, a control volume method based on a general rotating curvilinear coordinate system was used to solve the time-averaged Navier-Stokes equations, and a standard k-.epsilon. model was used to obtain eddy viscosity. The quasi-3-dimensional analysis reasonably predicts the pressure distributions and requires much less computation time in the region where viscous effects are not strong; however, it fails to predict velocity field and loss mechanism through the impeller passage. The viscous 3-dimensional flow analysis shows reasonable pressure distributions and typical jet-wake flow field through the impeller passage. Secondary flow and total pressure distributions on cross-sectional planes explain the loss mechanisms through the impeller.

Extensible Elastica Solutions on the Large Deflection of Fiber Cantilever with Circular Wavy Crimp (I) - Derivation of Models and Their Solutions-

  • Jung Jae Ho;Kang Tae Jin
    • Fibers and Polymers
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    • 제6권1호
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    • pp.55-65
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    • 2005
  • Extensible elastica solutions of two-dimensional deflection of crimped fiber cantilever of circular wavy crimp were obtained for one end clamped boundary under concentrated, inclined and dead tip load Fiber was also regarded as a linear elastic material. Crimp was described as a combination of semicircular arcs smoothly connected with each other having con­stant curvature of all the same magnitude and alternative sign. Also the inclined load direction was taken into account. The solutions were expressed as the recursive forms of integrals in two different cases, which can also be transformed to elliptic integrals respectively. Comparing the data with inextensible ones was carried out. Consequently in the solution, the normal strain of neutral axis is expressed in terms of cross-sectional area, second moment of area and normalized load parameter. Examples of the circular cross-sectioned fiber are presented. As a result, the differences of normalized load between inexten­sible and extensible elastica solutions when the radius ratio becomes 0.1 were maximum $\Lambda$ = 0.1.

Seismic performance evaluation of coupled core walls with concrete and steel coupling beams

  • Fortney, Patrick J.;Shahrooz, Bahram M.;Rassati, Gian A.
    • Steel and Composite Structures
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    • 제7권4호
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    • pp.279-301
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    • 2007
  • When coupling beams are proportioned appropriately in coupled core wall (CCW) systems, the input energy from ground motions is dissipated primarily through inelastic deformations in plastic hinge regions at the ends of the coupling beams. It is desirable that the plastic hinges form at the beam ends while the base wall piers remain elastic. The strength and stiffness of the coupling beams are, therefore, crucial if the desired global behavior of the CCW system is to be achieved. This paper presents the results of nonlinear response history analysis of two 20-story CCW buildings. Both buildings have the same geometric dimensions, and the components of the buildings are designed based on the equivalent lateral force procedure. However, one building is fitted with steel coupling beams while the other is fitted with diagonally reinforced concrete coupling beams. The force-deflection relationships of both beams are based on experimental data, while the moment-curvature and axial load-moment relationships of the wall piers are analytically generated from cross-sectional fiber analyses. Using the aforementioned beam and wall properties, nonlinear response history analyses are performed. Superiority of the steel coupling beams is demonstrated through detailed evaluations of local and global responses computed for a number of recorded and artificially generated ground motions.

다면체기법에 의한 입체의 최적 체적 및 표면적 측정 (The Measurement of the Volume and Surface Area of an Object based on Polyhedral Method)

  • 우광방;진영민;박상온
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1987년도 전기.전자공학 학술대회 논문집(I)
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    • pp.311-315
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    • 1987
  • In this paper an efficient algorithm to estimate the volume and surface area and the reconstruction algorithm for 3-dimensional graphics are presented. The graph theory is used to estimate the optimal quantitative factors. To improve the computing efficiency, the algorithm to get proper contour points is performed by applying several tolerances. The search and the given arc cost is limited according to the change of curvature of the cross-sectional contour. For mathematical model, these algorithms for volume estimation based on polyhedral approximation are applied to the selected optimal surface. The results show that the values of the volume and surface area for tolerances 1.0005, 1.001 and 1.002 approximate to values for tolerances 1.000 resulting in small errors. The reconstructed three-dimensional images are sparse and consist of larger triangular tiles between two cross sections as tolerance is increasing.

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CONTACT THREE CR-SUBMANIFOLDS OF A (4m + 3)-DIMENSIONAL UNIT SPHERE

  • Kim, Hyang-Sook;Kim, Young-Mi;Kwon, Jung-Hwan;Pak, Jin-Suk
    • 대한수학회지
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    • 제44권2호
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    • pp.373-391
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    • 2007
  • We study an (n+3)($n\;{\geq}\;7-dimensional$ real submanifold of a (4m+3)-unit sphere $S^{4m+3}$ with Sasakian 3-structure induced from the canonical quaternionic $K\"{a}hler$ structure of quaternionic (m+1)-number space $Q^{m+1}$, and especially determine contact three CR-submanifolds with (p-1) contact three CR-dimension under the equality conditions given in (4.1), where p = 4m - n denotes the codimension of the submanifold. Also we provide necessary conditions concerning sectional curvature in order that a compact contact three CR-submanifold of (p-1) contact three CR-dimension in $S^{4m+3}$ is the model space $S^{4n_1+3}(r_1){\times}S^{4n_2+3}(r_2)$ for some portion $(n_1,\;n_2)$ of (n-3)/4 and some $r_1,\;r_2$ with $r^{2}_{1}+r^{2}_{2}=1$.

Proposals for flexural capacity prediction method of externally prestressed concrete beam

  • Yan, Wu-Tong;Chen, Liang-Jiang;Han, Bing;Wei, Feng;Xie, Hui-Bing;Yu, Jia-Ping
    • Structural Engineering and Mechanics
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    • 제83권3호
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    • pp.363-375
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    • 2022
  • Flexural capacity prediction is a challenging problem for externally prestressed concrete beams (EPCBs) due to the unbonded phenomenon between the concrete beam and external tendons. Many prediction equations have been provided in previous research but typically ignored the differences in deformation mode between internal and external unbonded tendons. The availability of these equations for EPCBs is controversial due to the inconsistent deformation modes and ignored second-order effects. In this study, the deformation characteristics and collapse mechanism of EPCB are carefully considered, and the ultimate deflected shape curves are derived based on the simplified curvature distribution. With the compatible relation between external tendons and the concrete beam, the equations of tendon elongation and eccentricity loss at ultimate states are derived, and the geometric interpretation is clearly presented. Combined with the sectional equilibrium equations, a rational and simplified flexural capacity prediction method for EPCBs is proposed. The key parameter, plastic hinge length, is emphatically discussed and determined by the sensitivity analysis of 324 FE analysis results. With 94 collected laboratory-tested results, the effectiveness of the proposed method is confirmed, and comparisons with the previous formulas are made. The results show the better prediction accuracy of the proposed method for both stress increments and flexural capacity of EPCBs and the main reasons are discussed.

다축응력상태의 구성관계에 기초한 FRP 콘크리트 부재의 층분할 단면해석모델 (Model for fiber Cross-Sectional Analysis of FRP Concrete Members Based on the Constitutive Law in Multi-Axial Stress States)

  • 조창근;김영상;배수호;김환석
    • 콘크리트학회논문집
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    • 제14권6호
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    • pp.892-899
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    • 2002
  • 콘크리트 휨 부재의 내하능력을 개선하는 방법들 중에서, 최근에 와서, 기존의 철근콘크리트 부재에서 사용하는 철근을 대신하여 섬유보강폴리머(FRP) 복합재료 층으로 보강한 콘크리트 부재에 관한 연구가 이루어지고 있다. 본 연구는 휨을 받는 원형단면 FRP 콘크리트 부재의 거동을 예측하기 위한 해석모델에 중점을 두고 있다. FRP층과 내부에 충진된 콘크리트로 이루어진 부재의 응력 및 변형을 예측하기 위하여 층분할 단면해석 모델이 제시되었다. 콘크리트의 압축거동이 횡방향 팽창에 의존한다는 가정과 다축 압축 응력상태의 구성관계에 기초하여 FRP 층으로 둘러 쌓인 콘크리트의 응력변형률 관계를 정식화하였다. 고전적 적층이론에서, FRP 층의 거동은 2차원 적층의 면내거동의 응력-변형률 관계에 기초한 등 가직교재료특성에 기초하여 정식화하였다. 소개된 해석모델의 검증을 위하여 원형단면 FRP 콘크리트 휨 부재의 4점 실험과 비교한 결과, 본 모델은 부재의 모멘트-곡률 관계, 단면에서의 축방향 변형률뿐만 아니라 횡방향 변형률, 그리고 FRP 층으로 인한 콘크리트의 구속효과의 증진에 관한 거동 특성들을 잘 예측해 주었다.

반복 굽힘 스트레스 하에서 전동식 니켈-티타늄 파일의 단면적의 크기가 피로파절에 미치는 영향 : 파절역학 분석 (EFFECT OF CROSS-SECTIONAL AREA OF 6 NICKEL-TITANIUM ROTARY INSTRUMENTS ON THE FATIGUE FRACTURE UNDER CYCLIC FLEXURAL STRESS: A FRACTOGRAPHIC ANALYSIS)

  • 황수연;오소람;이윤;임상민;금기연
    • Restorative Dentistry and Endodontics
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    • 제34권5호
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    • pp.424-429
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    • 2009
  • 본 연구의 목적은 니켈 티타늄 전동파일의 피로 파절에 파일의 단면 형태가 미치는 영향을 평가하고자 하였다. 6 종의 ProFile (Dentsply), Mtwo (VDW), K3 (SybronEndo), Heroshaper (MicroMega), NRT (Mani), Alpha system (KOMET) 니켈-티타늄 전동 파일(ISO 30 size/.04 taper)을 각 10개씩 실험군으로 배정하고 실험을 진행하였다. 니켈 티타늄 전동파일에 반복적인 장력과 압축력을 재현시킬 수 있는 피로파절 실험기(Denbotix)와 연결된 토크 조절 전동모터(Aseptico)에 각 군의 파일을 연결하여 300rpm 속도로 만곡도가 60도이고 5mm의 반경을 가진 인공 금속 근관 내를 6 mm pecking depth로 작동시켰다. 각 파일의 파절시간을 측정하고 통계 분석하여 유의성을 분석하였으며, 각 군의 파절된 모든 파일의 파절면을 주사전자현미경을 이용한 fractographic analysis를 통해 파절 역학을 규명하였다. 또한 각 군에서 3개의 사용하지 않은 새 파일을 clear resin에 매몰하고tip에서부터 3mm 지점을 횡절단하여 Image-Pro Plus (Imagej 1.34n, NIH) 소프트웨어로 절단면의 단면적을 측정하고 단면적의 크기와 피로 파절과의 상관성도 평가하였다. 실험 결과 NRT와 ProFile이 다른 실험군에 비해서 유의성 있게 높은 피로 파절 저항성을 보였다(P < .05). 또한 파일의 단면적은 피로파절 저항성과 통계학적인 유의성은 보이지 않았다. Fractographic analysis 결과 모든 시편에서 파절면은 ductile fracture와 brittle fracture가 혼재된 양상으로 나타났다. 결론적으로 니켈 티타늄 전동 파일의 단면적의 크기는 피로파절 저항과는 상관성이 적었다.

치과용 단층촬영을 이용한 Stainless-Steel File과 MFile-System® 전동식 기구의 근관 성형 능력에 대한 비교 연구 (A Comparison of Stainless-Steel File and MFile-System® Ni-Ti Rotary Instrument in Canal Preparation using Dental Computed Tomography)

  • 서동진;윤미란;이린;유미경
    • 구강회복응용과학지
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    • 제22권2호
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    • pp.173-180
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    • 2006
  • Objectives The aim of this study is to compare the quality of root canal preparation completed using MFile-$System^{(R)}$ instrument ( Komet, Gebr.Brsaseler, Germany) and conventional stainless steel file in the canals of Maxillary molar teeth that had a canal curvature between $25^{\circ}$ or more Materials & Methods Buccal canals of 24 first and second maxillary molar teeth, extracted for periodontal and prosthetic reasons were used. Tissue fragments and calcified debris were removed from teeth by scaling and the teeth were stored in 10% formalin solution for 24 hour. Then, teeth were stored in saline until used. To be included the roots had to have completed formed apices and angle of curvature ranging between $25^{\circ}$ or more according to the criteria described by Schneider(1971). Palatal and Second mesiobuccal canals were not included. Teeth were embedded into transparent acrylic. The teeth were randomly divided into two experimental groups. All teeth were scanned by Dental CT (PSR9000N, Asahi, Japan) to determine the root canal shape before instrumentation. Image slices were prepared from the apical end point to the pulp chamber. The first two sections were 2 mm from the apical end of root and 2 mm below the orifice. Further section was recorded, dividing the distance between the sections of apical and coronal levels into two equal lengths. 12 teeth were instrumented using stainless steel fileand another 12 teeth were instrumented using MFile-$System^{(R)}$. Following the completion of the instrumentation, the teeth were again scanned and compared with the cross sectional images taken prior to canal preparation. Amount of transportation and centering ability was assessed. Student's t-test was used for statistical analysis. Result Less transportation occurred with MFile-$System^{(R)}$ rotary instrumentation than stainless steel instrument. MFile-$System^{(R)}$ had better centering ability than stainless steel instrument. Conclusion MFile-$System^{(R)}$ rotary instrumentation transported canals less and had good centering ability.