• Title/Summary/Keyword: Collocation Points

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Ultimate strength estimation of composite plates under combined in-plane and lateral pressure loads using two different numerical methods

  • Ghannadpour, S.A.M.;Shakeri, M.;Barvaj, A. Kurkaani
    • Steel and Composite Structures
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    • v.29 no.6
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    • pp.785-802
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    • 2018
  • In this paper, two different computational methods, called Rayleigh-Ritz and collocation are developed to estimate the ultimate strength of composite plates. Progressive damage behavior of moderately thick composite laminated plates is studied under in-plane compressive load and uniform lateral pressure. The formulations of both methods are based on the concept of the principle of minimum potential energy. First order shear deformation theory and the assumption of large deflections are used to develop the equilibrium equations of laminated plates. Therefore, Newton-Raphson technique will be used to solve the obtained system of nonlinear algebraic equations. In Rayleigh-Ritz method, two degradation models called complete and region degradation models are used to estimate the degradation zone around the failure location. In the second method, a new energy based collocation technique is introduced in which the domain of the plate is discretized into the Legendre-Gauss-Lobatto points. In this new method, in addition to the two previous models, the new model named node degradation model will also be used in which the material properties of the area just around the failed node are reduced. To predict the failure location, Hashin failure criteria have been used and the corresponding material properties of the failed zone are reduced instantaneously. Approximation of the displacement fields is performed by suitable harmonic functions in the Rayleigh-Ritz method and by Legendre basis functions (LBFs) in the second method. Finally, the results will be calculated and discussions will be conducted on the methods.

Development of Coordinate Transformation Tool for Existing Digital Map (수치지도 좌표계 변환 도구 개발)

  • 윤홍식;조재명;송동섭;김명호;조흥묵
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.22 no.1
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    • pp.29-36
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    • 2004
  • This study describes the development of coordinate transformation tool for transforming the digital map using newly derived transformation parameters which are determined from the data referred to the local geodetic datum and the geocentric datum (ITRF2000) and the distortion modelling derived from collocation method. We prepared 190 common points and used 107 points to calculate 7 transformation parameters. In order to evaluate an accuracy of coordinate transformation, 83 common points were tested. In this study, we used Molodensky-Badekas model to derive the 7 transformation Parameters. An accuracy of 0.22m was obtained applying 7 Parameters transformation and the distortion modelling together. It shows that the accuracy of coordinate transformation is improved 72% against the result of 7 parameters transformation only. We developed the transformation tool, GDKtrans, which can be transformed the digital map of scales 1/50,000, 1/25,000 and 1/5,000. We also analyzed the digital map of l/5,000 at six urban areas by GPS observations. The result shows less RMSE of about 1.9 m and large disagreement at position and features. Consequently, we suggests that l/5,000 digital map is necessary of whole revision.

Generalized Computational Nodes for Pseudospectral Methods

  • Kim, Chang-Joo;Park, Soo Hyung;Jung, Sung-Nam;Sung, Sangkyung
    • International Journal of Aeronautical and Space Sciences
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    • v.15 no.2
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    • pp.183-189
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    • 2014
  • Pseudo-spectral method typically converges at an exponential rate. However, it requires a special set of fixed collocation points (CPs) to get highly accurate formulas for partial integration and differentiation. In this study, computational nodes for defining the discrete variables of states and controls are built independently of the CPs. The state and control variables at each CP, which are required to transcribe an NOCP into the corresponding NLP, are interpolated, using those variables allocated at each node. Additionally, Lagrange interpolation and spline interpolation are investigated, to provide a guideline for selecting a favorable interpolation method. The proposed techniques are applied to the solution of an NOCP using equally spaced nodes, and the computed results are compared to those using the standard PS approach, to validate the usefulness of the proposed methods.

NUMERICAL STUDY ON TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOW BASED ON GRIDLESS METHOD (2차원 비압축성 점성유동에 관한 무격자법 기반의 수치해석)

  • Jeong, S.M.;Park, J.C.;Heo, J.K.
    • Journal of computational fluids engineering
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    • v.14 no.4
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    • pp.93-100
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    • 2009
  • The gridless (or meshfree) methods, such as MPS, SPH, FPM an so forth, are feasible and robust for the problems with moving boundary and/or complicated boundary shapes, because these methods do not need to generate a grid system. In this study, a gridless solver, which is based on the combination of moving least square interpolations on a cloud of points with point collocation for evaluating the derivatives of governing equations, is presented for two-dimensional unsteady incompressible Navier-Stokes problem in the low Reynolds number. A MAC-type algorithm was adopted and the Poission equation for the pressure was solved successively in the moving least square sense. Some typical problems were solved by the presented solver for the validation and the results obtained were compared with analytic solutions and the numerical results by conventional CFD methods, such as a FVM.

한·중 한정 기능어 대조 연구 -한국어 '만, 밖에, 뿐'과 중국어 '지(只), 광(光), 근(僅)'을 중심으로-

  • Jeong, Bi
    • 중국학논총
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    • no.62
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    • pp.49-69
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    • 2019
  • This study refers to the methodology of study of usage patterns by dissolving the study of Korean auxiliary particle '만, 밖에, 뿐' and Chinese range adverb '只, 光, 僅', and uses the actual language data of Korean native speakers and Chinese native speakers Using the constructed corpus, we looked at the usage patterns of auxiliary particles '만, 밖에, 뿐' and range adverb '只, 光, 僅' respectively. In the Korean and Chinese corpora, the Korean auxiliary particle '만, 밖에, 뿐' and Chinese range adverb '只, 光, 僅' are each 300 sentences, and a total of 1800 are used as analytical corpus. through the analysis of the examples, the features and differences such as the appearance ratio of Korean and Chinese, appearance environment are revealed. the analysis results of Korean and Chinese are compared to find common points and differences.

A Study on the Considerations in Rules for Authorized Access points of Music Work (음악 저작의 전거형접근점 규칙 마련시 고려사항에 관한 연구)

  • Lee, Mihwa
    • Journal of Korean Library and Information Science Society
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    • v.49 no.4
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    • pp.147-166
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    • 2018
  • This study is to suggest the considerations in the rules for authorized access points for collocation of music work by figuring out the directions of authorized access points in FRBR, LRM, ICP 2016, RDA, and BIBFRAME, and by analyzing RDA rules for attributes and authorized access points of music works and expression and VIAF examples. First, an aggregated authorized access points were suggested as the direction of authorized access points, and original title may be selected as preferred title and the authorized access point may be based on forms in one of the languages suited to the users, if the original title is not normally suited. Second, music works's authorized access points is consisted of composer authorized access point and preferred title, and of adapter's authorized access point and preferred title in case of lacks of responsibility in composer. Also, the authorized access point of Korean traditional music work must be reviewed according to work types considering the responsibility of composer. Third, the controlled vocabularies for name of music type, medium of performance, and key could be considered for describing the attributes of work and expression. This study would be the foundation study for the authorized access point of music work, and additional research should be completed through surveying music user's need.

Fuel-Optimal Altitude Maintenance of Low-Earth-Orbit Spacecrafts by Combined Direct/Indirect Optimization

  • Kim, Kyung-Ha;Park, Chandeok;Park, Sang-Young
    • Journal of Astronomy and Space Sciences
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    • v.32 no.4
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    • pp.379-386
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    • 2015
  • This work presents fuel-optimal altitude maintenance of Low-Earth-Orbit (LEO) spacecrafts experiencing non-negligible air drag and J2 perturbation. A pseudospectral (direct) method is first applied to roughly estimate an optimal fuel consumption strategy, which is employed as an initial guess to precisely determine itself. Based on the physical specifications of KOrea Multi-Purpose SATellite-2 (KOMPSAT-2), a Korean artificial satellite, numerical simulations show that a satellite ascends with full thrust at the early stage of the maneuver period and then descends with null thrust. While the thrust profile is presumably bang-off, it is difficult to precisely determine the switching time by using a pseudospectral method only. This is expected, since the optimal switching epoch does not coincide with one of the collocation points prescribed by the pseudospectral method, in general. As an attempt to precisely determine the switching time and the associated optimal thrust history, a shooting (indirect) method is then employed with the initial guess being obtained through the pseudospectral method. This hybrid process allows the determination of the optimal fuel consumption for LEO spacecrafts and their thrust profiles efficiently and precisely.

NUMERICAL STUDY ON TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOW BASED ON GRIDLESS METHOD (2차원 비압축성 점성유동에 관한 무격자법 기반의 수치해석)

  • Jeong, S.M.;Park, J.C.;Heo, J.K.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.239-244
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    • 2009
  • The gridless (or meshfree) methods, such as MPS, SPH, FPM an so forth, are feasible and robust for the problems with moving boundary and/or complicated boundary shapes, because these methods do not need to generate a grid system. In this study, a gridless solver, which is based on the combination of moving least square interpolations on a cloud of points with point collocation for evaluating the derivatives of governing equations, is presented for two-dimensional unsteady incompressible Navier-Stokes problem in the low Reynolds number. A MAC-type algorithm was adopted and the Poission equation for the pressure was solved by successively in the moving least square sense. Some weighing functions were tested in order to investigate the up-winding effect for the convection term. Some typical problems were solved by the presented solver for the validation and the results obtained were compared with analytic solutions and the numerical results by conventional CFD methods, such as FVM.

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Large-eddy simulation of channel flow using a spectral domain-decomposition grid-embedding technique (스펙트럴 영역분할 격자 삽입법을 이용한 채널유동의 큰 에디 모사)

  • Gang, Sang-Mo;Byeon, Do-Yeong;Baek, Seung-Uk
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.22 no.7
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    • pp.1030-1040
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    • 1998
  • One of the main unresolved issues in large-eddy simulation(LES) of wall-bounded turbulent flows is the requirement of high spatial resolution in the near-wall region, especially in the spanwise direction. Such high resolution required in the near-wall region is generally used throughout the computational domain, making simulations of high Reynolds number, complex-geometry flows prohibitive. A grid-embedding strategy using a nonconforming spectral domain-decomposition method is proposed to address this limitation. This method provides an efficient way of clustering grid points in the near-wall region with spectral accuracy. LES of transitional and turbulent channel flow has been performed to evaluate the proposed grid-embedding technique. The computational domain is divided into three subdomains to resolve the near-wall regions in the spanwise direction. Spectral patching collocation methods are used for the grid-embedding and appropriate conditions are suggested for the interface matching. Results of LES using the grid-embedding strategy are promising compared to LES of global spectral method and direct numerical simulation. Overall, the results show that the spectral domain-decomposition grid-embedding technique provides an efficient method for resolving the near-wall region in LES of complex flows of engineering interest, allowing significant savings in the computational CPU and memory.

A Study on Geoid Model Development Method in Philipphines (필리핀 지오이드모델의 개발방안 연구)

  • Lee, Suk-Bae;Pena, Bonifasio Dela
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.27 no.6
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    • pp.699-710
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    • 2009
  • If a country has her geoid model, it could be determine accurate orthometric height because the geoid model could provide continuous equi-gravity potential surface. And it is possible to improve the coordinates accuracy of national control points through geodetic network adjustment considering geoidal heights. This study aims to find the best way to develop geoid model in Philippines which have similar topographic conditions as like Malaysia and Indonesia in Eastsouth asia. So, in this study, it is surveyed the general theories of geoid determination and development cases of geoid model in Asia and it is computed that the geoidal heights and gravity anomalies by spherical harmonic analysis using EGM2008, the latest earth geopotential model. The results show that first, the development of gravimetric geoid model based on airborne gravimetry is needed and second, about 200 GPS surveying data at national benchmark is needed. It is concluded that it is the most reasonable way to develop the hybrid geoid model through fitting geometric geoid by GPS/leveling data to gravimetric geoid. Also, it is proposed that four band spherical Fast fourier transformation(FFT) method for evaluation of Stokes integration and remove and restore technique using EGM2008 and SRTM for calculation of gravimetric geoid model and least square collocation algorithm for calculation of hybrid geoid model.