• Title/Summary/Keyword: complex representation

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A curvature method for beam-column with different materials and arbitrary cross-section shapes

  • Song, Xiaobin
    • Structural Engineering and Mechanics
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    • v.43 no.2
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    • pp.147-161
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    • 2012
  • This paper presents a curvature method for analysis of beam-columns with different materials and arbitrary cross-section shapes and subjected to combined biaxial moments and axial load. Both material and geometric nonlinearities (the p-delta effect in this case) were incorporated. The proposed method considers biaxial curvatures and uniform normal strains of discrete cross-sections of beam-columns as basic unknowns, and seeks for a solution of the column deflection curve that satisfies force equilibrium conditions. A piecewise representation of the beam-column deflection curve is constructed based on the curvatures and angles of rotation of the segmented cross-sections. The resulting bending moments were evaluated based on the deformed column shape and the axial load. The moment curvature relationship and the beam-column deflection calculation are presented in matrix form and the Newton-Raphson method is employed to ensure fast and stable convergence. Comparison with results of analytic solutions and eccentric compression tests of wood beam-columns implies that this method is reliable and effective for beam-columns subjected to eccentric compression load, lateral bracings and complex boundary conditions.

A Study on 3D Modeling Technique using Parametric Representation (계수 표현 모델을 이용한 3차원 모델링 기법에 관한 연구)

  • Kim Tae-Eun
    • Journal of Digital Contents Society
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    • v.5 no.3
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    • pp.176-179
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    • 2004
  • Superquadrics can represent various and complex 3D object with only wome parameters(size, position, deformation etc). So if we use both superquadrics and deformed superquadrics, we can reoresent more realistic 3D object which are existed in real world. In this paper we use the Z-buffer algorithm and stencil buffer together because this is very useful when the wuperquadric primitives are combined. The fundamental ideas are illustrated with a number of tables and figures.

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Automatic Process Design System for Cold Forging of Fasteners with Various Head Geometries (다양한 머리 형상을 갖는 체결구의 냉간 단조 자동 공정 설계 시스템)

  • 김홍석;임용택
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.10a
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    • pp.141-148
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    • 1994
  • In order to improve the productivity of cold forging at low production cost, an integrated system's approach is necessary in handling the material preparation and the optimum process design, considering the forming machines, tooling, and operation including quality control. As the first step toward this approach, an expert system for multi-stage cold forging process design for fasteners with various head geometries is developed using Prolog language on IBM 486 PC. For effective representation of the complex part geometries, the system uses the multiple element input, and the forward inference scheme in determination of the initial billet size and intermediate forging steps. In order to determine intermediate steps, the basic empirical rules for extrusion, heading, and trimming were applied. The required forming loads and global strain distributions at each forging step were calculated and displayed on the PC monitor. The designed process sequence drawing can be obtained by AutoCAD. The developed system will be useful in reducing trial and error of design engineers in determining the diameter and height of the initial cylindrical billet from the final product geometry and the intermediate necessary sequences.

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의사결경지원을 위한 지식표현 및 확률추론

  • Kim Seong Sik
    • The Mathematical Education
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    • v.32 no.1
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    • pp.75-90
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    • 1993
  • Decision making in uncertain situations that preferences of decision maker is important consists of a series of related decisions. Rule-based expert system can not represent such a complex decision problems. For these decision problems, this paper suggests a new methods IDPI(Influence Diagram-based Probabilistic Inference) which combines model-based knowledge representation and probabilistic inference, and implements a career counsellor for the university students using the combined methods.

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A Study on the Program Slicing Model (Program Slice 생성 모형에 관한 연구)

  • Yun Chang-Byeon;Cha Yeong-Heon;Jeong Chang-Mo
    • Journal of the military operations research society of Korea
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    • v.14 no.1
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    • pp.42-52
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    • 1988
  • Many programmers start debugging by reading the faulty program from start to bottom without investigating carefully the erroneous program. Expert programmers, however, trace backward from a particular variable in a specific statement to identify all possible sources of influence on the value of variable (program slice). Weiser proposed a slicing algorithm (method) that is complex, iterative and still in modification [3,4]. This paper presents a method to generate a program slice by use of matrix computation which represents all possible slices of the program. The matrix representation of a program is soundly based on the graph theory of data dependency.

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Inertia Force Comparison of 2 Stage Reciprocating Air Compressors (이단 왕복동 공기압축기 구조에 따른 관성력 비교)

  • Kim, Young-Cheol;Ahn, Kook-Young
    • The KSFM Journal of Fluid Machinery
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    • v.12 no.4
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    • pp.23-29
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    • 2009
  • For the purpose of high outlet pressure, compactness and low vibration and noise, 2 stage reciprocating air compressors can have various cylinder arrangement: opposed, in-line, and V type. This paper presents an effective method to calculate the inertia forces and to design counter weight. This method is based on the complex representation for the orbital behavior of the compressor shaft. This method helps to find the optimal balancing rate easily to reduce the inertial force or moment. This paper shows that the residual inertia forces of the single throw shafts and the residual inertia moments of the double throw shafts remain to be imbalanced.

Geometric Modelling of 3-Dimensional Structures for Finite Element Analysis (유한요소해석을 위한 3차원 구조물의 기하학적 모델링)

  • 이재영;이진휴
    • Computational Structural Engineering
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    • v.4 no.1
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    • pp.109-120
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    • 1991
  • This paper introduces a geometric modelling system adopted in a newly developed preprocessor for finite element analysis of three dimensional structures. The formulation is characterized by hierachical construction of structural model which consists of control points, curves, surfaces and solids. Various surface and solid modelling schemes based on blending functions and boundary representation are systematized for finite element mesh generation. The modelling system is integrated with model synthesis and operations which facilitate modelling of complex structures.

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FIRST ORDER HERMITE INTERPOLATION WITH SPHERICAL PYTHAGOREAN-HODOGRAPH CURVES

  • Kim, Gwang-Il;Kong, Jae-Hoon;Lee, Sun-Hong
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.73-86
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    • 2007
  • The general stereographic projection which maps a point on a sphere with arbitrary radius to a point on a plane stereographically and its inverse projection have the pythagorean-hodograph (PH) preserving property in the sense that they map a PH curve to another PH curve. Upon this fact, for given spatial $C^1$ Hermite data, we construct a spatial PH curve on a sphere that is a $C^1$ Hermite interpolant of the given data as follows: First, we solve $C^1$ Hermite interpolation problem for the stereographically projected planar data of the given data in $\mathbb{R}^3$ with planar PH curves expressed in the complex representation. Second, we construct spherical PH curves which are interpolants for the given data in $\mathbb{R}^3$ using the inverse general stereographic projection.

A Study on the Program Slicing Model (Program Slice 생성 모형에 관한 연구)

  • Yun Chang-Byeon;Cha Yeong-Heon;Jeong Chang-Mo
    • Journal of the military operations research society of Korea
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    • v.13 no.2
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    • pp.42-52
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    • 1987
  • Many programmers start debugging by reading the faulty program from start to bottom without investigating carefully the erroneous program. Expert programmers, however, trace backward from a particular variable in a specific statement to identify all possible sources of influence on the value of variable (program slice). Weiser proposed a slicing algorithm (method) that is complex, iterative and still in modification [3,4]. This paper presents a method to generate a program slice by use of matrix computation which represents all possible slices of the program. The matrix representation of a program is soundly based on the graph theory of data dependency.

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A study on the spectrum assignment problem for a functional linear system (함수선형계의 스펙트럼지정문제에 관한 연구)

  • 이장우
    • 전기의세계
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    • v.31 no.3
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    • pp.209-217
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    • 1982
  • This paper considers a finite spectrum assignment Problem for a functional retarded linear differential system with delays in control only. In this problem, by generalizing from an abstract linear system characterized by Semigroups on a Hilbert space to a finite dimensional linear system, we unify the relationship between a control-delayed system and its non-delayed system, and then by using the spectrum of the generator-decomposition of Semigroup, we try to get a feedback law which yields a finite spectrum of the closed-loop system, located at an arbitrarily preassigned sets of n points in the complex plane. The comparative examinations between the standard spectrum assignment method and the method of spectral projection for the feedback law which consists of proportional and finite interval terms over present and past values of control variables are also considered. The analysis is carry down to the elementary spectral projection level because, in spite of all the research efforts, so far there has been no significant attempt to obtain the feedback implementation directly from the abstract representation forms in the case of multivariables.

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