• Title/Summary/Keyword: 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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    • v.31 no.3
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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.

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

  • 박상호;이건우
    • Korean Journal of Computational Design and Engineering
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    • v.1 no.3
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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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Geometric Nonlinear Analysis of Flexible Media Using $C^1$ Beam Element ($C^1$보요소를 이용한 유연매체의 기하비선형 해석)

  • Jee, Jung-Geun;Hong, Sung-Kwon;Jang, Yong-Hoon;Park, No-Cheol;Park, Young-Pil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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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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Nonlinear Numerical Analysis and Experiment of Composite Laminated Shell (복합재 적층셸의 비선형 수치해석 및 실험)

  • 조원만;이영신;윤성기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.8
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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.

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

  • Yang, Seung-Han;Kim, Ki-Hoon;Park, YongKuk
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.9
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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%.

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

  • Park, Moon-Jin;Kim, Kang
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.6
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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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A study on formation of open space by geometric method and environment-friendly characteristics in contemporary Housing (현대주거의 기하조작에 의한 오픈(void)공간의 생성과 친환경적 특성에 관한 연구)

  • Lee, Dong-Ki
    • Proceeding of Spring/Autumn Annual Conference of KHA
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    • 2009.11a
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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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Evaluation and optimization of geometric error by using Taguchi method (다구찌기법에 의한 형상오차 평가 및 최적화)

  • 지용주;곽재섭;하만경
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.04a
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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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    • v.35 no.2
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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.

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

  • 황동국;박희정;전병민
    • Proceedings of the Korea Contents Association Conference
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    • 2003.11a
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    • pp.271-275
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    • 2003
  • In this paper, we propose a method that corrects the geometric distortion of mouth in an image. the method is composed of two steps - detecting key points and correcting geometric distortion. First, key points of lips in source and destination images are found by using lips detection algorithm. Then, the two images are mapped by using affine transformation and information found in first step. In experiment result for various mouths with different geometric distortion, we found that the proposed method have satisfactory efficiency.

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