• 제목/요약/키워드: geometric method

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Thermal post-buckling analysis of porous functionally graded pipes with initial geometric imperfection

  • Xu, Jia-Qin;She, Gui-Lin
    • Geomechanics and Engineering
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    • 제31권3호
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    • pp.329-337
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    • 2022
  • In this paper, the thermal post-buckling characteristics of functionally graded (FG) pipes with initial geometric imperfection are studied. Considering the influence of initial geometric defects, temperature and geometric nonlinearity, Euler-Lagrange principle is used to derive the nonlinear governing equations of the FG pipes. Considering three different boundary conditions, the two-step perturbation method is used to solve the nonlinear governing equations, and the expressions of thermal post-buckling responses are also obtained. Finally, the correctness of this paper is verified by numerical analyses, and the effects of initial geometric defects, functional graded index, elastic foundation, porosity, thickness of pipe and boundary conditions on thermal post-buckling response are analyzed. It is found that, bifurcation buckling exists for the pipes without initial geometric imperfection. In contrast, there is no bifurcation buckling phenomenon for the pipes with initial geometric imperfection. Meanwhile, the elastic stiffness can significantly improve thermal post-buckling load and thermal post-buckling strength. The larger the porosity, the greater the thermal buckling load and the thermal buckling strength.

기하 공차의 표현 및 조립성 확인에의 응용 (Representation of Geometric Tolerances and its Application to Assemblability Checking)

  • 박상호;이건우
    • 한국CDE학회논문집
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    • 제1권3호
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    • pp.215-223
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    • 1996
  • Every mechanical part is fabricated with the variations in its size and shape, and the allowable range of the variation is specified by the tolerance in the design stage. Geometric tolerances specify the size or the thickness of each shape entity itself or its relative position and orientation with respect to datums while considering their order of precedence. It would be desirable if the assemblability of parts could be verified in the computer when the tolerances on the parts are store together with the geometric model of the parts of an assembly and their assembled state. Therefore, a new method is proposed to represent geometric tolerances and to determine the assemblability. This method determines the assemblability by subdividing the ranges of relative motion between parts until there exists the subdivided regions that do not cause the interference.

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$C^1$보요소를 이용한 유연매체의 기하비선형 해석 (Geometric Nonlinear Analysis of Flexible Media Using $C^1$ Beam Element)

  • 지중근;홍성권;장용훈;박노철;박영필
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.326-329
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    • 2005
  • In the development of sheet-handling .machinery, it is important to predict the static and dynamic behavior of the sheets with a high degree of reliability because the sheets are fed and stacked at suck a high speed flexible media behaves geometric nonlinearity of large displacement and small strain. In this paper, static analysis of flexible media are performed by FEM considering geometric nonlinearity. Linear stiffness matrix and geometric nonlinear stiffness matrix based m the updated Lagrangian approach are derived using $C^1$ beam element and numerical simulations are performed by Updated Newton-Raphson(UNR) method.

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복합재 적층셸의 비선형 수치해석 및 실험 (Nonlinear Numerical Analysis and Experiment of Composite Laminated Shell)

  • 조원만;이영신;윤성기
    • 대한기계학회논문집
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    • 제17권8호
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    • pp.2051-2060
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    • 1993
  • A finite element program using degenerated shell element was developed to solve the geometric, material and combined nonlinear behaviors of composite laminated shell. The total Lagrangian method was implemented for geometric nonlinear analysis. The material nonlinear behavior was analyzed by considering the matrix degradation due to the progressive failure in the matrix and matrix-fiber interface after initial failure. The result of the geometric nonlinear analysis showed good agreement with the other exact and numerical solutions. The results of the combined analyses considered both geometric and material nonlinear analyses were compared with the experiments in which internal pressure was applied to the filament wound antisymmetric tubes.

반구상의 나선형 볼바측정을 통한 수직형 머시닝 센터의 오차 해석 및 보정 (Error Analysis and Compensation for the Volumetric Errors of a Vertical Machining Center Using Hemispherical Helix Ball Bar Test)

  • 양승한;김기훈;박용국
    • 한국정밀공학회지
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    • 제19권9호
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    • pp.34-40
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    • 2002
  • Machining accuracy is affected by quasi-static errors of machining center. Since machine errors have a direct influence upon both the surface finish and geometric shape of the finished workpiece, it is very important to measure the machine errors and to compensate these errors. The laser measurement method for identifying geometric errors of machine tool has the disadvantages such as high cost, long calibration time and usage of volumetric error synthesis model. Accordingly, this paper deals with analysis of the geometric errors of a machine tool using ball bar test without using complicated error synthesis model. Statistical analysis method was adopted in this paper for deriving geometric errors using hemispherical helix ball bar test. As a result of experiment, geometric errors of the vertical machining center are compensated by 88%.

가공경로가 밀링가공면의 기하학적 특성에 미치는 영향 (Effects of the Tool Path on the Geometric Characteristics of Milled Surface)

  • 박문진;김강
    • 한국정밀공학회지
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    • 제15권6호
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    • pp.58-63
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    • 1998
  • There are lots of factors that are related to the geometric characteristics of machined surface. Among them, the tool path and milling mode (up cut milling or down cut milling) are the easiest controllable machining conditions. Thus, the first objective of this research is to study the effects of them on the milled surface that is generated by an end milling tool. To get precision parts, not only the machining process but also the measurement of geometric tolerance is important. But, this measurement requires a lot of time, because the infinite surface points must be measured in the ideal case. So, the second objective is to propose a simple flatness measurement method that can be available instead of the 3-D geometric tolerance measurement method, using a scale factor and characterized points. Finally, it is also shown that the possibility of flatness improvement by shifting the consecutive fine cutting tool path as compared with the last rough cutting tool path.

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현대주거의 기하조작에 의한 오픈(void)공간의 생성과 친환경적 특성에 관한 연구 (A study on formation of open space by geometric method and environment-friendly characteristics in contemporary Housing)

  • 이동기
    • 한국주거학회:학술대회논문집
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    • 한국주거학회 2009년도 추계학술발표대회 논문집
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    • pp.95-99
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    • 2009
  • To avoid monotony of functionalistic architecture that may be considered the mainstream of modernism architecture, in recent days, the modern architecture displays diversified characteristics. Geometric manipulation method that creates an open space having manipulated a basic geometric shape like hexahedron (cutting out or joining the spatial area onto one side of the figure) is the space manipulation technique that has been introduced and emerged on a full scale since 1970. This technique has been developed as a type of living quarters that has equipped with passive control function, making outside climate flow into the interior. Recently methods for diversified space creation by means of geometry manipulation have begun to appear in domestic low rise multi-family housings other than inflexible box type high-rise building constructions, which comprise the mainstream of multi-family housing.

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다구찌기법에 의한 형상오차 평가 및 최적화 (Evaluation and optimization of geometric error by using Taguchi method)

  • 지용주;곽재섭;하만경
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2004년도 춘계학술대회 논문집
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    • pp.298-303
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    • 2004
  • parameters in surface grinding. Taguchi method which is one of the design of experiments has been introduced in achieving the aims. The process parameters were the grain size, the wheel speed, the depth of cut and the table speed. The effect of the process parameters on the geometric error was examined and an optimal set of the parameters was selected to minimize the geometric error within the controllable range of the used grinding machine. The reliability of the results was evaluated by the ANOVA.

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Accuracy of structural computation on simplified shape

  • Marin, P.
    • Structural Engineering and Mechanics
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    • 제35권2호
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    • pp.127-140
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    • 2010
  • This paper focuses on a number of criteria that enable controlling the influence of geometric simplification on the quality of finite element (FE) computations. To perform the mechanical simulation of a component, the corresponding geometric model typically needs to be simplified in accordance with hypotheses adopted regarding the component's mechanical behaviour. The method presented herein serves to compute an a posteriori indicator for the purpose of estimating the significance of each feature removal. This method can be used as part of an adaptive process of geometric simplification. If a shape detail removed during the shape simplification process proves to be influential on mechanical behaviour, the particular detail can then be reinserted into the simplified model, thus making it possible to readapt the initial simulation model. The fields of application for such a method are: static problems involving linear elastic behaviour, and linear thermal problems with stationary conduction.

입술 특징점에 기반한 입의 기하학적 왜곡 보정 (Geometric Correction of Mouth Based Key Points of Lips)

  • 황동국;박희정;전병민
    • 한국콘텐츠학회:학술대회논문집
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    • 한국콘텐츠학회 2003년도 추계종합학술대회 논문집
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    • pp.271-275
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    • 2003
  • 본 논문은 기하학적으로 왜곡된 입 모양을 보정하는 기법을 제안한다. 제안한 기법은 특징추출 단계와 보정 단계로 구성된다. 특징추출 단계에서는 원영상과 목적영상의 입술모델에 따라 각각의 특징과 특징점을 찾고 보정 단계에서는 부분 영상의 사상위치를 결정하고 어파인 변환을 적용하여 입의 왜곡을 보정한다. 여러 형태의 입모양을 실험한 결과, 많은 부분에 존재하는 왜곡이 보정된 것으로 나타났다.

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