• 제목/요약/키워드: Geometrical Analysis

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이중 제한조건 빔형성 방식의 기하학적 분석 (Geometrical Analysis of the Double Constraints Beamforming)

  • 류길현
    • 대한전자공학회논문지TC
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    • 제48권3호
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    • pp.1-5
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    • 2011
  • 이중의 제한조건을 사용하는 선형제한 최소분산 (Linear Constraint Minimum Variance LCMV) 빔형성 (Beamforming) 방식에서 가중치 벡터가 갱신되는 원리를 기하학적 분석(Geometrical Analysis)을 통하여 분석하였다. 모의실험을 통하여 제안하는 기하학적 분석 방법이 타당함을 나타내었다.

기하학적 관계를 바탕으로 한 가공공정 관리한계의 실시간 획득에 관한 연구 (A study for the real-time acquirement of cutting process control limit based on geometrical relations)

  • 홍준희
    • 한국정밀공학회지
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    • 제12권3호
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    • pp.82-91
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    • 1995
  • The purpose of this research is to develop a new real-time process control system. In this paper, a theoretical method for acquiring the control limit of cutting process(cutting surface) according to the required value(geometric tolerance) based on geometrical relations was propsed. In particular, the three following points are amphasized. Firstly, the process control was based on the cutting process, and the control limit was determined from the analysis of geometrical relations. Secondly, AMGD(Actual Measured Geometrical Deviation) was used as a new substitute value in process analysis. Thirdly, fuzzy reasoning was introduced to get the control limit flexibility according to the variations in the required value and general consideration of each measurememnt items.

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학생이 지닌 기하적 심상과 문제해결과정에서의 오류 (Error analysis related to a learner's geometrical concept image in mathematical problem solving)

  • 도종훈
    • 한국학교수학회논문집
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    • 제9권2호
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    • pp.195-208
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    • 2006
  • 학생들은 개념과 관련된 여러 가지 기하적 표현 중에서 특정한 표현을 해당 개념의 형식적인 정의에 우선하는 기하적 심상으로 받아들이곤 한다. 학생이 지닌 기하적 심상과 개념의 형식적인 정의가 항상 조화를 이루지는 않으며, 이로 인해 문제해결과정에서 오류가 유발될 수 있다. 기하적 표현을 통한 학습이 중요한 비중을 차지하는 기하 영역에서는 이러한 학생들의 오류 및 오류의 원인을 체계적으로 분석할 필요가 있다. 본 연구에서는 학생이 지닌 특정한 기하적 심상으로 인해 발생하는 오류 사례의 분석을 통해 보다 일반적으로 학생들이 수학적 개념에 대하여 지니는 심상 및 심상과 관련한 오류의 유형을 개념적으로 분류하여 이론적 분석의 틀을 제안하고자 한다.

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Nonlinear thermal post-buckling analysis of graphene platelets reinforced metal foams plates with initial geometrical imperfection

  • Yin-Ping Li;Gui-Lin She;Lei-Lei Gan;Hai-Bo Liu
    • Steel and Composite Structures
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    • 제46권5호
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    • pp.649-658
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    • 2023
  • Although some scholars have studied the thermal post-buckling of graphene platelets strengthened metal foams (GPLRMFs) plates, they have not considered the influence of initial geometrical imperfection. Inspired by this fact, the present paper studies the thermal post-buckling characteristics of GPLRMFs plates with initial geometrical imperfection. Three kinds of graphene platelets (GPLs) distribution patterns including three patterns have been considered. The governing equations are derived according to the first-order plate theory and solved with the help of the Galerkin method. According to the comparison with published paper, the accuracy and correctness of the present research are verified. In the end, the effects of material properties and initial geometrical imperfection on the thermal post-buckling response of the GPLRMFs plates are examined. It can be found that the presence of initial geometrical imperfection reduces the thermal post-buckling strength. In addition, the present study indicates that GPL-A pattern is best way to improve thermal post-buckling strength for GPLRMFs plates, and the presence of foams can improve the thermal post-buckling strength of GPLRMFs plates, the Foam- II and Foam- I patterns have the lowest and highest thermal post-buckling strength. Our research can provide guidance for the thermal stability analysis of GPLRMFs plates.

Nonlinear analysis of viscoelastic micro-composite beam with geometrical imperfection using FEM: MSGT electro-magneto-elastic bending, buckling and vibration solutions

  • Alimirzaei, S.;Mohammadimehr, M.;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • 제71권5호
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    • pp.485-502
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    • 2019
  • In this research, the nonlinear static, buckling and vibration analysis of viscoelastic micro-composite beam reinforced by various distributions of boron nitrid nanotube (BNNT) with initial geometrical imperfection by modified strain gradient theory (MSGT) using finite element method (FEM) are presented. The various distributions of BNNT are considered as UD, FG-V and FG-X and also, the extended rule of mixture is used to estimate the properties of micro-composite beam. The components of stress are dependent to mechanical, electrical and thermal terms and calculated using piezoelasticity theory. Then, the kinematic equations of micro-composite beam using the displacement fields are obtained. The governing equations of motion are derived using energy method and Hamilton's principle based on MSGT. Then, using FEM, these equations are solved. Finally the effects of different parameters such as initial geometrical imperfection, various distributions of nanotube, damping coefficient, piezoelectric constant, slenderness ratio, Winkler spring constant, Pasternak shear constant, various boundary conditions and three material length scale parameters on the behavior of nonlinear static, buckling and vibration of micro-composite beam are investigated. The results indicate that with an increase in the geometrical imperfection parameter, the stiffness of micro-composite beam increases and thus the non-dimensional nonlinear frequency of the micro structure reduces gradually.

Probabilistic vibration and lifetime analysis of regenerated turbomachinery blades

  • Berger, Ricarda;Rogge, Timo;Jansen, Eelco;Rolfes, Raimund
    • Advances in aircraft and spacecraft science
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    • 제3권4호
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    • pp.503-521
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    • 2016
  • Variances in turbomachinery blades caused by manufacturing, operation or regeneration can result in modified structural behavior. In this work, the scatter of geometrical and material properties of a turbine blade and its influence on structure performance is discussed. In particular, the vibration characteristics and the lifetime of a turbine blade are evaluated. Geometrical variances of the surface of the blades are described using the principal component analysis. The scatter in material properties is considered by 16 varying material parameters. Maximum vibration amplitudes and the number of load cycles the turbine blade can withstand are analyzed by finite element simulations incorporating probabilistic principles. The probabilistic simulations demonstrate that both geometrical and material variances have a significant influence on the scatter of vibration amplitude and lifetime. Dependencies are quantified and correlations between varied input parameters and the structural performance of the blade are detected.

선 기하를 이용한 가속도 해석과 동역학에의 적용 (Acceleration analysis by using line geometry and its application to dynamics)

  • 홍만복;최용제
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 추계학술대회 논문집
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    • pp.912-915
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    • 2002
  • It has been known that general velocity and force of a rigid body in space can be described in forms of a twist and a wrench by use of screws. However, the geometrical meaning of acceleration has not been clearly disclosed. It has been a normal practice to analyze or synthesize the acceleration effect of manipulator using some complex mathematical equations, which do not represent any geometrical meanings. In other words, such a technique doesn't clearly provide information about the overall acceleration state of manipulator at that instant. In this study, the geometrical meaning of acceleration of a rigid body has been investigated and thereby a geometrical procedure which can be applied to inverse acceleration analysis of a general non-redundant manipulator is presented as an application.

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농산물 및 미립자의 기하학적 특성 분석을 위한 컴퓨터 시각 시스템(II) -기하학적 특성 분석 알고리즘- (Computer Vision System for Analysis of Geometrical Characteristics of Agricultural Products and Microscopic Particles(II) -Algorithms for Geometrical Feature Analysis-)

  • 이종환;노상하
    • Journal of Biosystems Engineering
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    • 제17권2호
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    • pp.143-155
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    • 1992
  • The aim of this study is to develop a general purpose algorithm for analyzing geometrical features of agricultural products and microscopic particles regardless of their numbers, shapes and positions with a computer vision system. Primarily, boundary informations of an image were obtained by Scan Line Coding and Scan & Chain Coding methods and then with these informations, geometrical features such as area, perimeter, lengths, widths, centroid, major and minor axes, equivalent circle diameter, number of individual objects, etc, were analyzed. The algorithms developed in this study was evaluated with test images consisting of a number of randomly generated ellipsoids or a few synthesized diagrams having different features. The result was successful in terms of accuracy.

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회전자유도를 갖는 평면쉘요소에 의한 박판구조물의 기하비선형해석 (Geometrical Nonlinear Analysis of Thin-walled Structures by Flat Shell Elements with Drilling D.O.F.)

  • 최창근;송명관
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.317-324
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    • 1998
  • A nonlinear anile element formulation of flat shell elements with drilling d.o.f, is presented for the geometrical nonlinear analysis of thin-walled structures. The shell element to be applied in finite element analysis was developed by combining a membrane element named as CLM with drilling rotation d.o.f, and plate bending element. The combined shell element possesses six degrees of freedom per node. The element showed the excellent performance in the linear analysis of the folded plate structures, in which the normal rotational rigidity of folded plates is considered, therefore, using this element geometrical nonlinear analysis of those structures is fulfilled in this study. An incremental total Larangian approach is adopted through out in which displacements are referred to the original configuration. Comparing the results with those of other researches shows the performance of this element and a folded plate structure is analyzed as an example.

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태양광선 제적추적기법을 이용한 Heliostat 구동축 기구오차에서 기인하는 태양추적오차의 분석 (Analysis of Sun Tracking Error Caused by the Heliostat Driving Axis Geometrical Error Utilizing the Solar Ray Tracing Technique)

  • 박영칠
    • 한국태양에너지학회 논문집
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    • 제29권2호
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    • pp.39-46
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    • 2009
  • Heliostat, as a mirror system tracking the sun's movement, is the most important subsystem determining the efficiency of solar thermal power plant. Thus the accurate sun tracking performance under the various hazardous operating condition, is required. This study presents a methodology of development of the solar ray tracing technique and the application of it in the analysis of sun tracking error due to the heliostat geometrical errors. The geometrical errors considered here are the azimuth axis tilting error and the elevation axis tilting error. We first analyze the geometry of solar ray reflected from the heliostat. Then the point on the receiver, where the solar ray reflected from the heliostat is landed, is computed and compared with the original intended point, which represents the sun tracking error. The result obtained shows that the effect of geometrical error on the sun tracking performance is varying with time(season) and the heliostat location. It also shows that the heliostat located near the solar tower has larger sun tracking error than that of the heliostat located farther.