• Title/Summary/Keyword: Nodal Point

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Optimum Alignment of Marine Engine Shaftings by the Finite Element Method (有限要素法에 의한 舶用機關軸系裝置의 最適配置에 關한 硏究)

  • Jeon, Hio-Jung;Park, Jin-Gil;Choi, Jae-Sung
    • Journal of Advanced Marine Engineering and Technology
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    • v.2 no.1
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    • pp.3-14
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    • 1978
  • The authors have developed a calculating method of propeller shaft alignment by the finite element method. The propeller shaft is divided into finite elements which can be treated as uniform section bars. For each element, the nodal point equation is derived from the stiffness matrix, the external force vector and the section force vector. Then the overall nodal point equation is derived from the element nodal point equation. The deflection, offset, bending moment and shearing force of each nodal point are calculated from the overall nodal point equation by the digital computer. Reactions and deflections of supporting points of straight shaft are calculated and also the reaction influence number is derived. With the reaction influence number the optimum alignment condition that satisfies all conditions is calculated by the simplex method of linear programming. All results of calculation are compared with those of Det norske Veritas, which has developed a computor program based on the three-moment theorem of the strength of materials. The authors finite element method has shown good results and will be used effectively to design the propeller shaft alignment.

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Nodal method for handling irregularly deformed geometries in hexagonal lattice cores

  • Seongchan Kim;Han Gyu Joo;Hyun Chul Lee
    • Nuclear Engineering and Technology
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    • v.56 no.3
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    • pp.772-784
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    • 2024
  • The hexagonal nodal code RENUS has been enhanced to handle irregularly deformed hexagonal assemblies. The underlying RENUS methods involving triangle-based polynomial expansion nodal (T-PEN) and corner point balance (CPB) were extended in a way to use line and surface integrals of polynomials in a deformed hexagonal geometry. The nodal calculation is accelerated by the coarse mesh finite difference (CMFD) formulation extended to unstructured geometry. The accuracy of the unstructured nodal solution was evaluated for a group of 2D SFR core problems in which the assembly corner points are arbitrarily displaced. The RENUS results for the change in nuclear characteristics resulting from fuel deformation were compared with those of the reference McCARD Monte Carlo code. It turned out that the two solutions agree within 18 pcm in reactivity change and 0.46% in assembly power distribution change. These results demonstrate that the proposed unstructured nodal method can accurately model heterogeneous thermal expansion in hexagonal fueled cores.

Development of a New Numerical Analysis Method for Nodal Probabilistic Production Cost Simulation (각 부하지점별 확률론적 발전비용 산정을 위한 수치해석적 방법의 개발)

  • Kim, Hong-Sik;Mun, Seung-Pil;Choe, Jae-Seok;No, Dae-Seok;Cha, Jun-Min
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.50 no.9
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    • pp.431-439
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    • 2001
  • This Paper illustrates a new numerical analysis method using a nodal effective load model for nodal probabilistic production cost simulation of the load point in a composite power system. The new effective load model includes capacities and uncertainties of generators as well as transmission lines. The CMELDC(composite power system effective load duration curve) based on the new effective load model at HLll(Hierarchical Level H) has been developed also. The CMELDC can be obtained from convolution integral processing of the outage capacity probabilistic distribution function of the fictitious generator and the original load duration curve given at the load point. It is expected that the new model for the CMELDC proposed in this study will provide some solutions to many problems based on nodal and decentralized operation and control of an electric power systems under competition environment in future. The CMELDC based on the new model at HLll will extend the application areas of nodal probabilistic production cost simulation, outage cost assessment and reliability evaluation etc. at load points. The characteristics and effectiveness of this new model are illustrated by a case study of MRBTS(Modified Roy Billinton Test System).

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A Study on the Adaptive Refinement Method for the Stress Analysis of the Meshfree Method (적응적 세분화 방법을 이용한 무요소법의 응력 해석에 관한 연구)

  • Han, Sang-Eul;Kang, Noh-Won;Joo, Jung-Sik
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.8-13
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    • 2008
  • In this study, an adaptive node generation procedure in the radial point interpolation method is proposed. Since we set the initial configuration of nodes by subdivision of background cell, abrupt changes of inter-nodal distance between higher and lower error regions are unavoidable. This unpreferable nodal spacing induces additional errors. To obtain the smoothy nodal configuration, it's regenerated by local Delaunay triangulation algorithm This technique was originally developed to generate a set of well-shaped triangles and tetrahedra. To demonstrate the performance of proposed scheme, the results of making optimal nodal configuration with adaptive refinement method are investigated for stress concentration problems.

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Using multiple point constraints in finite element analysis of two dimensional contact problems

  • Liu, C.H.;Cheng, I.;Tsai, An-Chi;Wang, Lo-Jung;Hsu, J.Y.
    • Structural Engineering and Mechanics
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    • v.36 no.1
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    • pp.95-110
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    • 2010
  • Two-dimensional elastic contact problems, including normal, tangential, and rolling contacts, are treated with the finite element method in this study. Stress boundary conditions and kinematic conditions are transformed into multiple point constraints for nodal displacements in the finite element method. Upon imposing these constraints into the finite element system equations, the calculated nodal stresses and nodal displacements satisfy stress and displacement contact conditions exactly. Frictional and frictionless contacts between elastically identical as well as elastically dissimilar materials are treated in this study. The contact lengths, sizes of slip and stick regions, the normal and the shear stresses can be found.

Numerical Analysis Method for Nodal Probabilistic Production Cost Simulation (각 부하지점별 확률론적 발전비용 산정을 위한 수치해석적 방법)

  • Kim, Hong-Sik;Moon, Seung-Pil;Choi, Jae-Seok;Rho, Dae-Seok
    • Proceedings of the KIEE Conference
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    • 2001.05a
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    • pp.112-115
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    • 2001
  • This paper illustrates a new nodal effective load model for nodal probabilistic production cost simulation of the load point in a composite power system. The new effective load model includes capacities and uncertainties of generators as well as transmission lines. The CMELDC based on the new effective load model at HLII has been developed also. The CMELDC can be obtain from convolution integral processing of the outage capacity probabilistic distribution function of the fictitious generator and the original load duration curve given at the load point. It is expected that the new model for the CMELDC proposed. In this study will provide some solutions to many problems based on nodal and decentralized operation and control of an electric power systems under competition environment in future. The CMELDC based on the new model at HLII will extend the application areas of nodal probabilistic production cost simulation, outage cost assessment and reliability evaluation etc. at load points. The characteristics and effectiveness of this new model are illustrated by a case study of a test system.

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The Design of Bandpass Filters with Resonators Changed Coupling Nodal Point (공진기의 결합 노드 위치가 바뀐 대역통과 여파기의 설계)

  • 성규제
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2002.11a
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    • pp.49-53
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    • 2002
  • In this thesis, approximated design formulas for bandpass filters using changed coupling nodal point resonators are derived. The formulas take into account the arbitrary coupling node of lumped and distributed resonators. The advantage of this filter is its abilities to change freely the coupling structure between two resonators. Using the design formulas two filters were designed and simulated. Their responses verified the formulas.

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An Experimental Study on the Free Vibration of the Cantilever Composite Rectangular Plates with Point Supports (점지지된 복합재료 외팔 사각판의 자유진동에 관한 실험적 연구)

  • 이영신;최명환;류충현
    • Journal of KSNVE
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    • v.8 no.4
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    • pp.623-631
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    • 1998
  • The free vibration analyses of the isotropic and composite(CFRP, GFRP) rectangular plates with point supports at the free edge and middle position are performed. The natural frequencies and nodal patterns of plates with point supports are experimentally determined by impact testing using an impact hammer. To compare and verify these experimental results, the finite element analysis is also carried out. The effect of the point support position, the number of point supports, and the anisotropic parameters on the natural frequencies and nodal patterns of cantilevered rectangular plates are investigated.

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Fabrication of the focal length and distortion measurement system (초점길이 및 왜곡수차 측정장치 제작)

  • 조현모
    • Proceedings of the Optical Society of Korea Conference
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    • 1990.02a
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    • pp.82-86
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    • 1990
  • A camera type optical bench system equipped with a lens collimator and an image analyzer is fabricated to measure the equivalent focal length and distortion of lenses. This system is automatized by the computer which controls stepping motors. A nodal slide optical bench system equipped with an off axis reflective collimator is fabricated and improved by using rotating arms and air bearing system. distortion measurement on a wide angle lens using the camera method and the nodal slide method is reported. Defocusing error in the distortion measurement with the nodal slide optical bench is analyzed and improved by iteration method to search the correct image point.

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Buckling analysis of arbitrary point-supported plates using new hp-cloud shape functions

  • Jamshidi, Sajad;Fallah, N.
    • Structural Engineering and Mechanics
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    • v.70 no.6
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    • pp.711-722
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    • 2019
  • Considering stress singularities at point support locations, buckling solutions for plates with arbitrary number of point supports are hard to obtain. Thus, new Hp-Cloud shape functions with Kronecker delta property (HPCK) were developed in the present paper to examine elastic buckling of point-supported thin plates in various shapes. Having the Kronecker delta property, this specific Hp-Cloud shape functions were constructed through selecting particular quantities for influence radii of nodal points as well as proposing appropriate enrichment functions. Since the given quantities for influence radii of nodal points could bring about poor quality of interpolation for plates with sharp corners, the radii were increased and the method of Lagrange multiplier was used for the purpose of applying boundary conditions. To demonstrate the capability of the new Hp-Cloud shape functions in the domain of analyzing plates in different geometry shapes, various test cases were correspondingly investigated and the obtained findings were compared with those available in the related literature. Such results concerning these new Hp-Cloud shape functions revealed a significant consistency with those reported by other researchers.