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An asymptotic multi-scale approach for beams via strain gradient elasticity: surface effects

  • Kim, Jun-Sik
    • Multiscale and Multiphysics Mechanics
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    • v.1 no.1
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    • pp.15-33
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    • 2016
  • In this paper, an asymptotic method is employed to formulate nano- or micro-beams based on strain gradient elasticity. Although a basic theory for the strain gradient elasticity has been well established in literature, a systematic approach is relatively rare because of its complexity and ambiguity of higher-order elasticity coefficients. In order to systematically identify the strain gradient effect, an asymptotic approach is adopted by introducing the small parameter which represents the beam geometric slenderness and/or the internal atomistic characteristic. The approach allows us to systematically split the two-dimensional strain gradient elasticity into the microscopic one-dimensional through-the-thickness analysis and the macroscopic one-dimensional beam analysis. The first-order beam problem turns out to be different from the classical elasticity in terms of the bending stiffness, which comes from the through-the-thickness strain gradient effect. This subsequently affects the second-order transverse shear stress in which the surface shear stress exists. It is demonstrated that a careful derivation of a first strain gradient elasticity embraces "Gurtin-Murdoch traction" as the surface effect of a one-dimensional Euler-Bernoulli-like beam model.

Quality Analysis of Three-Dimensional Geo-spatial Information Using Digital Photogrammetry (수치사진측량 기법을 이용한 3차원 공간정보의 품질 분석)

  • Lee, Hyun-Jik;Ru, Ji-Ho;Kim, Sang-Youn
    • Journal of Korean Society for Geospatial Information Science
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    • v.18 no.4
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    • pp.141-149
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    • 2010
  • Three-dimensional geo-spatial information is important for the efficient use and management of the country and the three-dimensional expression and analysis of urban projects, such as urban plans devised by local governments and urban management. Thanks to the revitalization of the geo-spatial information service industry, it is now being variously used not only in public but also private areas. For the creation of high-guiltily three-dimensional geo-spatial information, emphasis should be placed on not only the quality of the source image and three-dimensional geo-spatial model but also the level of visualization, such as level of detail and texturing. However, in the case of existing three-dimensional geo-spatial information, its establishment process is complicated and its data are not updated frequently enough, as it uses ready-created digital maps. In addition, as it uses Ortho Images, the images exist Relief displacement. As a result, the visibility is low and the three-dimensional models of artificial features are simplified to reach LoD between 2 and 3, making the images look less realistic. Therefore, this paper, analyzed the quality of three-dimensional geo-spatial information created using the three-dimensional modeling technique were applied using Digital photogrammetry technique, using digital aerial photo images by an existing large-format digital camera and multi-looking camera. The analysis of the accuracy of visualization information of three-dimensional models showed that the source image alone, without other visualization information, secured the accuracy of 84% or more and that the establishment of three-dimensional spatial information carried out simultaneously with filming made it easier to gain the latest data. The analysis of the location accuracy of true Ortho images used in the work process showed that the location accuracy was better than the allowable horizontal position accuracy of 1:1,000 digital maps.

Automatic Mesh Generation for Three-Dimensional Structures Consisting of Free-Form Surfaces (자유 곡면으로 구성되는 3차원 구조물에 대한 자동 요소 분할)

  • ;Yagawa, Genki
    • Korean Journal of Computational Design and Engineering
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    • v.1 no.1
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    • pp.65-75
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    • 1996
  • This paper describes an automatic finite element(FE) mesh generation for three-dimensional structures consisting of free-form surfaces. This mesh generation process consists of three subprocesses: (a) definition of geometric model, i.e. analysis model, (b) generation of nodes, and (c) generation of elements. One of commercial solid modelers is employed for three-dimensional solid and shell structures. Node is generated if its distance from existing node points is similar to the node spacing function at the point. The node spacing function is well controlled by the fuzzy knowledge processing. The Delaunay method is introduced as a basic tool for element generation. Automatic generation of FE meshes for three-dimensional solid and shell structures holds great benefits for analyses. Practical performances of the present system are demonstrated through several mesh generations for three-dimensional complex geometry.

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Flow Analysis of Centrifugal Compressor Using Quasi-Three-Dimensional Analysis (원심압축기의 유동해석을 위한 준삼차원 해석기법)

  • Ahn, S.J.;Kim, K.Y.
    • The KSFM Journal of Fluid Machinery
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    • v.6 no.1 s.18
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    • pp.30-36
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    • 2003
  • This paper presents the analysis of flows through three different types of radial compressor impeller by using quasi-three-dimensional analysis method. The method obtains two-dimensional solution for velocity distribution on meridional plane, and then calculates approximately the static pressure distributions on blade surfaces. Finite difference method is used for the solutions of governing equations. The compressors have low level compression-ratio and 12 straight radial blades with no backsweep. The results are compared with experimental data and the results of three-dimensional inviscid analysis with those by finite element method. It is found that the agreements with experimental data are good for the cases where viscous effects are not dominant.

Three dimensional static and dynamic analysis of two dimensional functionally graded annular sector plates

  • Asemi, Kamran;Salehi, Manouchehr;Sadighi, Mojtaba
    • Structural Engineering and Mechanics
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    • v.51 no.6
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    • pp.1067-1089
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    • 2014
  • In this paper, three dimensional static and dynamic analyses of two dimensional functionally graded annular sector plates have been investigated. The material properties vary through both the radial and axial directions continuously. Graded finite element and Newmark direct integration methods have been used to solve the 3D-elasticity equations in time and space domains. The effects of power law exponents and different boundary conditions on the behavior of FGM annular sector plate have been investigated. Results show that using 2D-FGMs and graded elements have superiority over the homogenous elements and 1D-FGMs. The model has been compared with the result of a 1D-FGM annular sector plate and it shows good agreement.

TWO-DIMENSIONAL MUTI-PARAMETERIZED SCHWARZ ALTERNATING METHOD

  • Kim, Sang-Bae
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.161-171
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    • 2011
  • The convergence rate of a numerical procedure based on Schwarz Alternating Method(SAM) for solving elliptic boundary value problems depends on the selection of the interface conditions applied on the interior boundaries of the overlapping subdomains. It has been observed that the Robin condition (mixed interface condition), controlled by a parameter, can optimize SAM's convergence rate. In [7], one had formulated the multi-parameterized SAM and determined the optimal values of the multi-parameters to produce the best convergence rate for one-dimensional elliptic boundary value problems. However it was not successful for two-dimensional problem. In this paper, we present a new method which utilizes the one-dimensional result to get the optimal convergence rate for the two-dimensional problem.

Estimation of dimensional stability of woods with time by Polyethylene glycol treatment (Polyethylene glycol처리과정 중 목재 치수안정성의 경시적 평가)

  • 권구중;김남훈
    • Journal of the Korea Furniture Society
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    • v.13 no.1
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    • pp.2-8
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    • 2002
  • This study was carried out to investigate the reasonable condition for better dimensional stability in woods by polyethylene glycol(PEG) treatment. Eight species grown in Kangwon-do were used for this study. Three species of softwoods(Pinus densiflora, Pinus koraiensis, Larix kaempferi) and two species of hardwoods(Prunus sargentii, Populus tomentiglandulosa) treated with 30% aqueous solution of PEG 1000 showed good dimensional stability under the treatment for 1 day. The dimensional stability of Betula davurica, Quercus mongolica and Quercus variabilis woods increased with increasing treatment time. From the above results, it was concluded that PEG penetration and dimensional stability were affected by characteristics of wood species such as density and structure.

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Suppression of Spin Dephasing in a Two-Dimensional Electron Gas with a Quantum Point Contact

  • Jeong, Jae-Seung;Lee, Hyun-Woo
    • Journal of Magnetics
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    • v.15 no.1
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    • pp.7-11
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    • 2010
  • Spin-orbit coupling (SOC) is a source of strong spin dephasing in two- and three-dimensional semiconducting systems. We report that spin dephasing in a two-dimensional electron gas can be suppressed by introducing a quantum point contact. Surprisingly, this suppression was not limited to the vicinity of the contact but extended to the entire two-dimensional electron gas. This facilitates the electrical control of the spin degree of freedom in a two-dimensional electron gas through spin-orbit coupling.

Study of a Three-Dimensional and Multi-Functional Urban High-Rise Complex in the High-Density Environment: Design Practice of Yiwu World Trade Center

  • Li, Linxue;Hou, Miaomiao;Zhang, Qi
    • International Journal of High-Rise Buildings
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    • v.8 no.1
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    • pp.37-47
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    • 2019
  • Facing the challenges of urban form and space quality in a high-density environment, the paper puts forward the development trend of three-dimensional and multi-functional design for an urban high-rise complex, and analyzes the design methods of establishing an urban landmark, including multi-functional composition, three-dimensional space integration, three-dimensional traffic organization and energy flow programming. Meanwhile, combined with the specific design case of Yiwu World Trade Center, the practical experience of designing a high-rise complex in China's medium-sized cities is analyzed.

SHAPE OPTIMIZATION OF COMPRESSOR BLADES USING 3D NAVIER-STOKES FLOW PHYSICS

  • Lee K. D.;Chung J.;Shim J.
    • 한국전산유체공학회:학술대회논문집
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    • 2001.05a
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    • pp.1-8
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    • 2001
  • A CFD-based design method for transonic axial compressor blades was developed based on three-dimensional Navier-Stokes flow physics. The method employs a sectional three-dimensional (S3D) analysis concept where the three-dimensional flow analysis is performed on the grid plane of a span station with spanwise flux components held fixed. The S3D analysis produced flow solutions nearly identical to those of three-dimensional analysis, regardless of the initialization of the flow field. The sectional design based on the S3D analysis can include three-dimensional effects of compressor flows and thus overcome the deficiencies associated with the use of quasi-three-dimensional flow physics in conventional sectional design. The S3D design was first used in the inverse triode to find the geometry that produces a specified target pressure distribution. The method was also applied to optimize the adiabatic efficiency of the blade sections of Rotor 37. A new blade was constructed with the optimized sectional geometries at several span stations and its aerodynamic performance was evaluated with three-dimensional analyses.

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