• 제목/요약/키워드: Matrix geometric method

검색결과 169건 처리시간 0.025초

Haringx의 전단변형 이론을 고려한 부분강절 뼈대구조의 비탄성 좌굴해석 (Inelastic Buckling Analysis of Semi-rigid Frames with Shear Deformations by Haringx's Theories)

  • 민병철
    • 한국안전학회지
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    • 제29권3호
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    • pp.64-71
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    • 2014
  • The generalized tangential stiffness matrix of semi-rigid frame element with shear deformations based on Haringx's shear theory is newly derived and compared with the previous study based on Engesser's shear theory. Also, linearized elastic and geometric stiffness matrices are newly presented from the exact tangential stiffness matrix. In oder to obtain the inelastic system buckling load of shear flexible semi-rigid frame structure, the Ef method by tangential modulus theory is adopted and the FE analysis programs are developed. Finally, the shear and semi-rigid effects of system bucking are investigated by two numerical examples.

Space Deformation of Parametric Surface Based on Extension Function

  • Wang, Xiaoping;Ye, Zhenglin;Meng, Yaqin;Li, Hongda
    • International Journal of CAD/CAM
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    • 제1권1호
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    • pp.23-32
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    • 2002
  • In this paper, a new technique of space deformation for parametric surfaces with so-called extension function (EF) is presented. Firstly, a special extension function is introduced. Then an operator matrix is constructed on the basis of EF. Finally the deformation of a surface is achieved through multiplying the equation of the surface by an operator matrix or adding the multiplication of some vector and the operator matrix to the equation. Interactively modifying control parameters, ideal deformation effect can be got. The implementation shows that the method is simple, intuitive and easy to control. It can be used in such fields as geometric modeling and computer animation.

오차행렬을 이용한 5축 공작기계의 오차보정모델 생성 및 실험적 검증 (Development and Experimental Verification of an Error Compensation Model for a Five-axis Machine Tool using an Error Matrix)

  • 권성환;이동목;양승한
    • 한국정밀공학회지
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    • 제30권5호
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    • pp.507-512
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    • 2013
  • This paper proposes a new model to compensate for errors of a five-axis machine tool. A matrix with error components, that is, an error matrix, is separated from the error synthesis model of a five-axis machine tool. Based on the kinematics and inversion of the error matrix which can be obtained not by using a numerical method, an error compensation model is established and used to calculate compensation values of joint variables. The proposed compensation model does not need numerical methods to find the compensation values from the error compensation model, which includes nonlinear equations. An experiment using a double ball-bar is implemented to verify the proposed model.

불균일 단면을 갖는 저장력 예인케이블에 관한 수치해석적 연구 (A STUDY ON NUMERICAL SIMULATION OF TOWED LOW-TENSION CABLE WITH NONUNIFORM CHARACTERISTICS)

  • 정동호;박한일
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 춘계학술대회 논문집
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    • pp.161-166
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    • 2002
  • Low-tension cables have been increasingly used in recent years due to deep-sea developments and the advent of synthetic cables. In the case of low-tension cables, large displacements may happen due to relatively small restoring forces of tension and thus the effects of fluid and geometric non-linearities become predominant. In this study, three-dimensional (3-D) dynamic behavior of a towed low-tension cable with non-uniform characteristics is numerically analyzed by considering fluid and geometric non-linearities and bending stiffness. A Fortran program is developed by employing a finite difference method. In the algorithm, an implicit time integration and Newton-Raphson iteration are adopted. For the calculation of huge size of matrices, block tri-diagonal matrix method is applied, which is much faster than the well-known Gauss-Jordan method in two point boundary value problems. Some case studies are carried out and the results of numerical simulations are compared with a in-house program of WHOI Cable with good agreements.

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자유곡면을 가공하는 공작기계 체적오차의 일반화 해석 (A Generalized Analysis of Volumetric Error of a Machine Tool Machining a Sculpture)

  • 고태조
    • 한국생산제조학회지
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    • 제4권3호
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    • pp.39-47
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    • 1995
  • This paper suggests generalize mathematica mode for the benefit of volumetric error analysis of a multi-axis machine tool machining a sculptured surfaces. The volumetric error, in this paper, is defined as a three dimensional error at the cutting point, which is caused by the geometric errors and the kinematic errors of each axis and alignment errors of the cutting tool. The actual cutting position is analyzed based on the form shaping model including a geometric error of the moving carriage, where a form shaping model is derived from the homogeneous transformation matrix. Then the volumetric error is obtained by calculating the position difference between the actual cutting position and the ideal one calculated from a Nonuniform Rational B-Spline named as NURES. The simulation study shows the effectiveness for predicting the behavior of machining error and for the method of error compensation.

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Compatibility를 이용한 다수 전문가의 가중치 종합화에 관한 연구 (A Study on the Aggregation of Multi-Experts Priorities Using Compatibility in the AHP)

  • 조성훈;김태성;이영찬
    • 한국경영과학회지
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    • 제23권4호
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    • pp.131-140
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    • 1998
  • The objective of this study is to propose a new procedure to synthesize the multi-experts priorities in AHP. If multi-experts with different expertise are involved in a AHP decision, we need some way to aggregate their opinions. AHP model used to do numerical aggregation by taking only the geometric mean or the weighting geometric mean in past. To aggregate the multi-experts priorities, In this paper. we suggest a way which Decision Maker can exclude outlier matrix from group using the concept of the Compatibility and we Introduce Delphi method to use Compatibility in AHP. A numerical example is shown to illustrate the procedure.

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GEOMETRICALLY AND MATERIALLY NONLINEAR ANALYSIS FOR A COMPOSITE PRESSURE VESSEL

  • 도영대;김형근
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 1995년도 제4회 학술강연회논문집
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    • pp.141-153
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    • 1995
  • An incremental Total Lagrangian Formulation is implemented for the finite element analysis of laminated composite pressure vessel with consideration of the material and geometric nonlinearities. For large displacements/large rotations due to geometric nonlinearities, the incremental equations are derived using a quadratic approximation for the increment of the reference vectors in terms of the nodal rotation increments. This approach leads to a complete tangent stiffness matrix. For material nonlinearity, the analysis is performed by using the piecewise linear method, taking account of the nonlinear shear stress-strain relation. The results of numerical tests include the large deflection behavior of the selected composite shell problem. When compared with the previous analysis, tile results are in good agreement with them. As a practical example, filament wound pressure vessel is analyzed with consideration of the geometrically and materially nonlinearity. The numerical results agree fairly well with the existing experimental results.

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역문제에 의한 구조물의 실동하중 해석 (Analysis of Practical Dynamic Force of Structure with Inverse Problem)

  • 송준혁;노홍길;김홍건;유효선;강희용;양성모
    • 한국공작기계학회논문집
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    • 제13권2호
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    • pp.75-80
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    • 2004
  • Vehicle structures are composed of many substructure connected to one another by various types of mechanical joints. In vehicle engineering it is important to study these connected structures under various dynamic forces for the evaluations of fatigue life and stress concentration exactly. It is difficult to obtain the accurate load history of specified positions because of the errors such as modeling, measurement and etc. In the beginning of design exact load data are actually necessary for the fatigue strength and life analysis to minimize the cost and time of designing. In this paper, the procedure of practical dynamic force determination is developed by the combination of the principal stresses of F. E. Analysis and experiment. Least square pseudo inverse matrix is adopted to obtain in inverse matrix of analyzed stresses matrix. The error minimization method utilizes the inaccurate measured error and the shifting error that the whole data is stiffed over real data. The least square criterion is adopted to avoid these non. Finally, to verify the proposed procedure, a bus is analyzed. This measurement and prediction technology can be extended to the structural modification of any geometric shape in complex structure.

실하중 이력에 의한 조인트의 동적강도해석 (Dynamic Stress Analysis of joint by Practical Dynamic Load History)

  • 송준혁;강희용;양성모
    • 한국공작기계학회논문집
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    • 제10권5호
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    • pp.118-123
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    • 2001
  • Most structures of automobile are composed of many substructures connected to one another by various types of mechanical joints. In automotive engineering, it is important to study these connected structures under various dynamic farces for the evaluations of fatigue life and stress concentration exactly. It is rarely obtained the accurate load history of specified positions because of the errors such as modeling, measurement, and etc. In the beginning of design, exact load data are actually necessary for the fatigue strength and life analysis to minimize the cost and time of designing. In this paper, the procedure of practical dynamic load determination is developed by the combination of the principal stresses of F.E. analysis and experiment. Inverse problem and least square pseudo inverse matrix are adopted to obtain an inverse matrix of analyzed stresses matrix. Pseudo-Practical dynamic load was calculated for Lab. Test of sub-structure. GUI program(PLODAS) was developed for whole of above procedure. This proposed method could be extended to any geometric shape of structure.

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구간 평면 모델을 사용한 곡면 스크린 상의 영상 왜곡 보정 (Compensation of Image Distortion on a Curved Screen using a Piecewise Planar Model)

  • 이경미;이병욱
    • 한국통신학회논문지
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    • 제35권3C호
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    • pp.264-270
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    • 2010
  • 몰입감을 주기 위한 초대형 화면을 생성하기 위하여 원통이나 구 모양의 곡면 스크린의 사용이 증가하고 있다. 기존의 방법에서 스크린을 2차 곡면으로 모델링하여 영상이 스크린의 3차원 평면위에 투영되는 대응점을 찾기 위하여 2차 행렬을 이용한다. 기하학적 영상 보정 후에도 스크린의 모양에 약간의 변화나 움직임이 생길 경우에 2차 행렬이 변하게 된다. 본 논문에서는 스크린의 움직임 및 변화가 작은 경우 약간의 움직임에 의해 변형된 2차행렬을 구하기 위해 3차원 정보를 새로이 구하지 않고, 스크린을 부분적인 평면으로 근사하여 영상의 기하학적 왜곡을 보정을 하는 방법을 제안하였다. 실제 프로젝터로 곡면 스크린에 영상을 투영한 후 스크린을 움직였을 때 스크린의 움직임에 대해 제안한 부분적 평면 근사화 방법으로 왜곡을 보정하는 실험을 통해 스크린이 움직이기 전과 동일한 결과를 얻었다.