• Title/Summary/Keyword: Singularity Distribution

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Analysis of Stress Singularity on Ceramics/Metal Bonded Joints (세라믹/금속 접합재에 대한 응력특이성의 해석)

  • Kim, Ki-Seong;Kim, Hui-Song;Chung, Nam-Yong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.10
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    • pp.3058-3067
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    • 1996
  • With increasing use of ceramics/metal bonded joints, It is required to analyze the residual stress distribution and stress singularity at an interface edge for its bonded joints. In this paper, the residual stress distribution and stress singularity index of the ceramics/metal bonded joints were analyzed by using 2-dimensional elastic boundary element method. The variations of residual stress distribution and stress singularity index are studied with changes for the combinations of ceramics/metal bodned joints.

A Study on the Performance of Twin Hull Floating Breakwater (쌍동형 부유식 소파제의 소파성능에 관한 연구)

  • 박노식;엄병섭
    • Journal of Ocean Engineering and Technology
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    • v.12 no.1
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    • pp.128-134
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    • 1998
  • This study is carried out the theoretical studies on wave transmission and motions in waves of twin hull type floating breakwaters with the vertical and horizontal plate. The method of calculation is based on the three dimensional singularity distribution method. The results show that wave transmission is affected by heave motion. Twin hull type is designed by the use of the theoretical method and good performance of the developed floating breakwater is confirmed for longer wave period.

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SINGULARITY ORDER OF THE RIESZ-NÁGY-TAKÁCS FUNCTION

  • Baek, In-Soo
    • Communications of the Korean Mathematical Society
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    • v.30 no.1
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    • pp.7-21
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    • 2015
  • We give the characterization of H$\ddot{o}$lder differentiability points and non-differentiability points of the Riesz-N$\acute{a}$gy-Tak$\acute{a}$cs (RNT) singular function ${\Psi}_{a,p}$ satisfying ${\Psi}_{a,p}(a)=p$. It generalizes recent multifractal and metric number theoretical results associated with the RNT function. Besides, we classify the singular functions using the singularity order deduced from the H$\ddot{o}$lder derivative giving the information that a strictly increasing smooth function having a positive derivative Lebesgue almost everywhere has the singularity order 1 and the RNT function ${\Psi}_{a,p}$ has the singularity order $g(a,p)=\frac{a{\log}p+(1-a){\log}(1-p)}{a{\log}a+(1-a){\log}(1-a)}{\geq}1$.

Force Distribution Algorithms For Singularity-Free 3-DOF Parallel Haptic Device With Redundant Actuation

  • Kim, Tae-Ju;Chung, Goo-Bong;Yi, Byung-Ju;Seo, Il-Hong
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1598-1602
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    • 2003
  • The parallel-type mechanism provides more accurate and stiff motion than the serial-type mechanism. However, in case of using the haptic device, the performance of the force reflection can be deteriorated due to the singular points existing in workspace. In this paper, we propose a redundantly actuated parallel 3-DOF haptic device, which is singularity-free in the workspace and has an improved force reflection capability. In addition, we propose a new force distribution algorithm, which can reflect force of both high and low resolution, using two sets of actuator with different size. Redundant actuators are attached to the base frame in order to minimize the inertia of the system. Moreover, a wire and gear reduction system is employed to achieve high force reflection along with soft feeling. We confirm the performance of the force reflection capability throughout simulation.

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Optimization of Micro Hydro Propeller Turbine blade using NSGA-II (NSGA-II를 이용한 마이크로 프로펠러 수차 블레이드 최적화)

  • Kim, Byung-Kon
    • The KSFM Journal of Fluid Machinery
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    • v.17 no.4
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    • pp.19-29
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    • 2014
  • In addition to the development of micro hydro turbine, the challenge in micro hydro turbine design as sustainable hydro devices is focused on the optimization of turbine runner blade which have decisive effect on the turbine performance to reach higher efficiency. A multi-objective optimization method to optimize the performance of runner blade of propeller turbine for micro turbine has been studied. For the initial design of planar blade cascade, singularity distribution method and the combination of the Bezier curve parametric technology is used. A non-dominated sorting genetic algorithm II(NSGA II) is developed based on the multi-objective optimization design method. The comparision with model test show that the blade charachteristics is optimized by NSGA-II has a good efficiency and load distribution. From model test and scale up calculation, the maximum prototype efficiency of the runner blade reaches as high as 90.87%.

A Damping Distribution Method for Inverse Kinematics Problem Near Singular Configurations (특이점 근방에서 역 기구학 해를 구하기 위한 자동 감쇄 분배 방법)

  • 성영휘
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.6
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    • pp.780-785
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    • 1998
  • In this paper, it is shown that the conventional methods for dealing with the singularity problem of a manipulator can be generalized as a local minimization problem with differently weighted objective functions. A new damping method proposed in this article automatically determines the damping amounts for singular values, which are inversely proportional to the magnitude of the singular values. Furthermore, this can be done without explicitly computing the singular values. The proposed method can be applied to all the manipulators with revolute joints.

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p-Adaptive Finite Element Analysis of Stress Singularity Problems by Ordinary Kriging Interpolation (정규 크리깅보간법을 이용한 응력특이문제의 p-적응적 유한요소해석)

  • Woo Kwang-Sung;Park Mi-Young;Park Jin-Hwan;Han Sang-Hyun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.849-856
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    • 2006
  • This paper is to examine the applicability of ordinary Kriging interpolation(OK) to the p-adaptivity of the finite element analysis that is based on variogram. In the p-refinement, the analytical domain has to be refined automatically to obtain an acceptable level of accuracy by increasing the p-level non-uniformly or selectively. In case of non-uniform p-distribution, the continuity between elements with different polynomial orders is achieved by assigning zero higher-order derivatives associated with the edge in common with the lower-order derivatives. It is demonstrated that the validity of the proposed approach by analyzing results for stress singularity problem.

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Flow Analysis around a Wing Section by a Piecewise Linear Panel Method (부분선형 패널법을 이용한 2차원 날개단면 주위 유동 해석)

  • Park, Gi-Duck;Oh, Jin-An;Lee, Jin-Tae
    • Journal of the Society of Naval Architects of Korea
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    • v.52 no.5
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    • pp.380-386
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    • 2015
  • Panel methods are useful tools for analyzing fluid-flow around a wing section. It has the advantage of fast and accurate calculation, compared to other CFD Methods such as RANS solvers. This paper suggests a piecewise linear panel method in order to improve accuracy of existing panel methods by changing the piecewise constant singularity strength to linear singularity strength(for dipole strength). The piecewise linear panel method adopts the linear distribution of singularity strength, while control point is located at the node of each panel. Formulation of the piecewise linear panel method is given, and some calculation results are shown for typical wing sections.

Proper Shape Fuction for the Contact Stress in the Soil-Plate Interaction Problems (지반과 구형 평판구조사이의 접촉응력에 적합한 형상함수)

  • 고만기
    • Computational Structural Engineering
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    • v.6 no.3
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    • pp.89-97
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    • 1993
  • General formulation to analyse the rectangular thin plate on a soil medium by energy method is developed. In the problem, Boussinesque's formular needs to be integrated after assuming the contact stress distribution. Two different functions, i.e., power series and Chebychev polynomials are used to approximate the contact stress distribution. It was found that Chebychev polynomials are better function to describe the contact stress than power series. Chebychev polynomials considering stress singularity around plate boundary is recommended as the desirable shape function for future research.

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Edge Conditions of Microstrip Line Used for Magnetostatic Surface Wave Transducers (정자표면파 트랜스듀서용 마이크로스트립 선로의 모서리 조건)

  • 이재현
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.11
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    • pp.1062-1068
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    • 2004
  • In the frequency range where the magnetostatic surface wave may be excited, the edge singularity of a microstrip line having a farrite layer is calculated by using the method proposed by Meixner. From the calculated edge singularity, the change of the current distribution near the edge to which the magnetostatic surface wave propagates is steeper than that near the other edge. And the edge conditions vary with frequency. These results agree with the previous numerical results.