• Title/Summary/Keyword: 특이형상

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X-FEM Based Shape Design Sensitivity Analysis of Crack Propagation Problems (균열진전 문제의 X-FEM 기반 형상 설계민감도 해석)

  • Moon, Min-Yeong;Ahn, Seung-Ho;Cho, Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.697-700
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    • 2011
  • 본 논문에서는 X-FEM을 사용하여 혼합모드 하중 상태에서의 이차원 선형탄성체의 균열문제에 대한 형상 설계민감도 해석을 수행하였다. X-FEM이란 균열과 같은 특수한 해를 근사하는 방법으로써, 확장함수를 도입하여 FEM의 한계를 극복하는 방법론이다. X-FEM 하에서 해를 근사하는 데 쓰이는 확장함수들은 불연속성과 특이성을 포함하고 있어 물리적 영역에 의존한다. 이는 설계민감도 해석을 수행하는 과정에서 그러한 의존성을 고려해주는 것이 필요하다. 따라서 본 논문에서는 X-FEM 기반의 형상 설계민감도 해석해를 제안하고자 한다. 식의 유도는 전 미분 공식에 기초하고 있으며, 형상함수의 설계변분에 대한 의존성에 관한 항을 추가시켰다. 또한, 균열 주위의 국부적인 공간에서의 확장된 자유도에 설계속도를 가한다. 이에 대한 몇 가지 수치 예제를 통하여 개발된 방법론의 타당성을 확인하였다.

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Effects of Cutting Area on Straightness Characteristics in Side Walls Caused by Form Generation Mechanism in End-Milling Process (엔드밀링 공정의 형상창성기구에 의하여 절삭면적이 측벽 진직도 특성에 미치는 영향)

  • Kim, Kang
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.10
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    • pp.1269-1278
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    • 2013
  • The cutting area changes periodically in the end-milling process because of its form generation mechanism. In this study, the effects of the cutting area on end-milled side walls are studied by developing a cutting area model that simulates the area formed by engagement between a workpiece and a cutting edge of the end mill. To do this, the straightness profile of the side wall in the axial direction is investigated. Models for estimating the cutting area and the transition point, where the slope of the straightness profile changes suddenly, are verified from real end-milling experiments under various radial and axial depth of cut conditions. Through this study, it is confirmed that the final end-milled side wall is generated in the regions where cutting areas are constant and decreasing in the down-cut. Similarly, in stable up-cut, it is also generated in the regions where cutting areas are increasing and constant. It is found that the transition point appears when the region changes.

Form-finding of Tensegrity Structures with constraints by using Force Method (하중법을 이용한 텐세그리티 구조물의 자기평형 응력 탐색)

  • Chung, Woo-Sung;Lee, Jae-Hong;Kang, Joo-Won
    • Journal of Korean Association for Spatial Structures
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    • v.11 no.4
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    • pp.49-59
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    • 2011
  • This paper presents a new numerical method by using Singular Value Decomposition force method for form-finding of tensegrity structures with constraints. In order to maintain the tensegrity structures stable, state of self-equilibrium stress should be introduced. The existing force method has some advantages about form-finding of tensegrity structures. However, this method has complex formulation. In force density method, dummy members are required for form -finding of tensegrity structures with constraints. Therefore this study proposes new force method using Singular value decomposition. The proposed method is both having easy basic consept and simple computation than existing force method. A numerical example is presented to demonstrate the efficiency and robustness in searching initial single integral feasible self-stress mode for tensegrity structures with constraints.

Analysis of Two-dimensional Hydrofoil Problems Using Higher Order Panel Method based on B-Splines (B-스플라인 고차패널법에 의한 2차원 수중익 문제 해석)

  • Chung-Ho Cho;Gun-Do Kim;Chang-Sup Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.4
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    • pp.9-20
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    • 1999
  • A higher order panel method based on B-spline representation for both the geometry and the velocity potential is developed for the solution of the flow around two-dimensional lifting bodies. The self-influence functions due to the normal dipole and the source are separated into the singular and nonsingular parts, and then the former is integrated analytically whereas the latter is integrated using Gaussian quadrature. A null pressure jump Kutta condition at the trailing edge is found to be effective in stabilizing the solution process and in predicting the correct solution. Numerical experiments indicate that the present method is robust and predicts the pressure distribution around lifting foils with much fewer panels than existing low order panel methods.

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Analysis of Angular Velocity Stabilization of Spacecraft After One Control Moment Gyroscope's Failure (한 개의 제어모멘트자이로 고장에 따른 위성 각속도 안정화 분석)

  • Jin, Jaehyun;Leeghim, Henzeh
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.5
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    • pp.389-397
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    • 2021
  • The control characteristics after the failure of the control moment gyros, the actuators for satellite attitude control, were analyzed. In particular, the situation where one out of four failed was considered. For the most commonly used pyramids and box-90 structures, the singularities and singular surfaces after failure were analyzed and compared. Dynamic equations for the process of reducing the wheel speed after the failure were derived. The process of stabilizing the angular velocity of a satellite while absorbing the momentum of the faulty module by the three normal modules was analyzed. For singular shapes, the remaining CMGs may be locked or excessively shake. The authors proposed that it can be prevented by rearranging the gimbal angles.

접촉역학과 그 응용

  • 최동훈
    • Journal of the KSME
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    • v.28 no.6
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    • pp.556-562
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    • 1988
  • 기계나 구조물의 수명을 결정하는 마멸은 물체간의 접촉으로 인한 것이고 마멸을 줄이기 위해 윤활이 발달되어 왔다. 여러 형태의 마멸을 해석하기 위해서 접촉역학의 이해는 필수적이라 할 수 있다. 하중과 운동 조건에 의한 다양한 접촉문제를 일반적으로 다루기 위해 접촉면을 중심 으로 한 접근 방법을 소개하였으며, 접촉문제의 특이성을 보이기 위해 마찰접촉문제 해석을 위한 한기법을 간단히 기술하였다. 고속 볼 베어링의 특성 해석과 접촉형상 최적설계를 통하여 광 범위한 접촉 역학의 적용의 일부를 소개하였다.

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The Influence of Corner Stress Singularities on the Vibration of Rhombic Plates Having Various Edge Conditions (다양한 연단조건을 갖는 마름모꼴형 평판의 진동에 대한 모서리 응력특이도의 영향)

  • Kim, Joo-Woo;Cheong, Myung-Chae
    • Journal of Korean Society of Steel Construction
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    • v.12 no.4 s.47
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    • pp.363-374
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    • 2000
  • An accurate method is presented for vibrations of rhombic plates having three different combinations of clamped, simply supported, and free edge conditions. A specific feature here is that the analysis explicitly considers the moment singularities that occur in the two opposite corners having obtuse angles of the rhombic plates. Stationary conditions of single-field Lagrangian functional are derived using the Ritz method. Convergence studies of frequencies show that the corner functions accelerate the convergence rate of solutions. In this paper, accurate frequencies and normalized contours of the vibratory transverse displacement are presented for highly skewed rhombic plates, so that a significant effect of corner stress singularities nay be understood.

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Effect of Notch Geometries on Dynamic Stress Concentration Factor (노치 선단(균열 주위)의 기하학적 형상이 동적 응력집중계수(동적균열전파)에 미치는 영향)

  • O.S. Lee;H.S. Jeon;K.H. Byun
    • Journal of the Society of Naval Architects of Korea
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    • v.35 no.4
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    • pp.46-54
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    • 1998
  • In this paper, the erect of notch geometries on dynamic stress concentration was investigated by using the dynamic photoelasticity and the drop weight loading system Dynamic stress fields arisen by elastic wave through the loading system around various types of notch geometries were captured by using $10^6/sec$ frame rate Cranz-Shardin camera system with 12 photographic frames. We found that dynamic stress concentrations around the notch tip and comer were highly dependent on the change in notch geometries. The elders of dynamic stress singularity ware determined with respect to varying geometries of notches and we explained dynamic stress concentration in terms of the orders of dynamic stress singularity.

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Analysis of 2-D Potential Problem with L-shape Domain by p-Convergent Boundary Element Method (p-수렴 경계요소법에 의한 L-형 영역을 갖는 2차원 포텐셜 문제 해석)

  • Woo, Kwang-Sung;Jo, Jun-Hyung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.1
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    • pp.117-124
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    • 2009
  • The p-convergent boundary element method has been proposed to analyze two-dimensional potential problem on the basis of high order Legendre shape functions that have different property comparing with the shape functions in conventional boundary element method. The location of nodes corresponding to high order shape function are not defined along the boundary, called by nodeless node, similar to the p-convergent finite element method. As the order of shape function increases, the collocation point method is used to solve linear simultaneous equations. The collocation patterns of p-convergent boundary element method consist of non-symmetric hierarchial or symmetric non-hierarchical. As the order of shape function increases, the number of collocation point increases. The singular integral that appears in p-convergent boundary element has been calculated by special numeric quadrature technique and semi-analytical integration technique. The L-shape domain problem including singularity in the vicinity of reentrant comer is analyzed and the numerical results show that the relative error is smaller than $10^{-2}%$ range as compared with other results in literatures. In case of same condition, the symmetric p-collocation point pattern shows high accuracy of solution.

Effects of Crack Velocity on Fracture Properties of Modified S-FPZ Model (수정 특이-파괴진행대이론의 파괴특성에 대한 균열속도의 영향)

  • Yon Jung-Heum
    • Journal of the Korea Concrete Institute
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    • v.16 no.4 s.82
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    • pp.511-520
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    • 2004
  • The fracture energy evaluated from the previous experimental results can be simulated by using the modified singular fracture process zone (S-FPZ) model. The fracture model has two fracture properties of strain energy release rate for crack extension and crack close stress versus crack width relationship $f_{ccs}$ ( w ) for fracture process zone (FPZ) development. The $f_{ccs}$( w ) relationship is not sensitive to specimen geometry and crack velocity. The fracture energy rate in the FPZ increases linearly with crack extension until the FPZ is fully developed. The fracture criterion of the strain energy release rate depends on specimen geometry and crack velocity as a function of crack extension. The variation of strain energy release rate with crack extension can explain theoretically the micro-cracking, micro-crack localization and full development of the FPZ in concrete.