• Title/Summary/Keyword: 오일러 보

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A Framework in Developing CAD System Kernel for Non-manifold Models (비다양체 모델을 지원하는 CAD 시스템 커널 개발을 위한 기반 구축)

  • Han, Young-Hyun;Lee, Kun-Woo;Lee, Sang-Hun;Kim, Sung-Hwan;Kim, Young-Jin;Bae, Seock-Hoon;Ahn, Jae-Hong;Lee, Kyoung-Jin
    • IE interfaces
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    • v.8 no.3
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    • pp.141-153
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    • 1995
  • 기존의 솔리드 모델링 시스템은 형상 표현에 있어서의 제약성과 통합 시스템으로서의 폐쇄성으로 인하여 응용 범위에 제약이 따른다. 이러한 약점을 극복하고자 하는 노력의 일환으로서, 최근에 등장한 것이 비다양체 모델을 지원하는 CAD 시스템 커널이다. 본 논문에서는 이러한 비다양체 모델을 지원할 수 있는 모델링 커널 시스템 개발의 기초가 되는 비다양체 자료구조와 이것을 바탕으로 한 오일러 공식 및 오일러 작업에 대해 소개한다. 그리고 이러한 오일러 작업을 실제로 구현하여 모델링 작업을 수행해 봄으로써, 본 논문에서는 제안된 비다양체 자료구조와 오일러 작업의 유용성을 보인다.

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Euler: Reflections on his Life, Works, and Thoughts (오일러의 삶, 업적, 그리고 사상)

  • Park, Chang-Kyun
    • Journal for History of Mathematics
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    • v.20 no.2
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    • pp.19-32
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    • 2007
  • This Paper aims to introduce Euler's life, works and thoughts, to show that it is his Christian worldview that enables his achievements. His life teaches us the lesson that examining philosophical base and historical background is crucial to understand mathematics or mathematicians, and that it is necessary to overcome given conditions and environments rather than expect better environments to reach meaningful achievements.

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Comparisons of Kinematical Analysis for the Universal-joint System by Using Finite Rotations and Quaternions (유한회전과 4원수를 이용한 유니버설 조인트 시스템의 기구해석 비교)

  • Yun, Seong-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.2
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    • pp.183-189
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    • 2010
  • This paper deals with the comparison of analysis methodologies by applying both Euler angle and quaternion to observe the kinematical behavior of the universal joint system used as an automotive drive-shaft. At first, conventional approaches are applied to predict a kinematical behavior by introducing only Euler angles into the universal joint system, but turns out to be lack in consistency and reliability of the analysis. Then to overcome this deficiency in numerical analysis a different methodology is proposed by using quaternion in this system. Its corresponding advantage is discussed in terms of kinetic energy, rotational velocity and rotational displacement. The application of quaternions in the numerical experiment is shown to be a more useful and valid way of establishing the ideal analytical model of the universal joint system.

Protection and Restoration Scheme Based on Eulerian Tours in Survivable Optical Mesh Networks (서바이버블 광 메쉬망에서 다중 장애에 강인한 오일러 투어 기반 보호 복구 방식)

  • Shon, Min-Han;Lee, Tae-Jin;Chung, Min-Young;Choo, Hyun-Seung
    • The KIPS Transactions:PartC
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    • v.11C no.5
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    • pp.653-658
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    • 2004
  • Failures in optical networks that have huge transmission capability provoke service discontinuitH and thus large economical damage. Even though many algorithms are proposed for protection and restoration on a single failure, there are few algorithms for multiple failures. Eulerian tour is known to be effective to protect and restore a single failure in the literature. This paper proposes an algorithm that can perform efficient protection and restoration for multiple failures based on combined Eulerian tours. The proposed one is very effective on protection and restoration in general cases with two failures, and the comprehensive computer simulation shows that the restoration rate increases up to about 90%.

Moving Support Elements for Dynamic Finite Element Analysis of Statically Determinate Beams Subjected to Support Motions (지점운동을 받는 정정보의 동해석을 위한 동지점 유한요소 개발)

  • Kim, Yong-Woo;Jhung, Myung Jo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.4
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    • pp.555-567
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    • 2013
  • A finite element formulation for a Rayleigh-damped Bernoulli-Euler beam subjected to support motions, which accompanies quasi-static rigid-body motion, is presented by using the quasi-static decomposition method. Moving support beam elements, one of whose nodes is coincident with the moving support, are developed to represent the effect of a moving support. Statically determinate beams subjected to support motions can be modeled successfully by using moving support elements. Examples of cantilever and simply-supported beams subjected to support motions are illustrated, and the numerical results are compared with the analytical solutions. The comparison shows good agreement.

The Control of Flexible Robot Arm using Adaptive Control Theory (적응제어 이론을 이용한 유연한 로봇팔의 제어)

  • Han, Jong-Kil
    • The Journal of the Korea institute of electronic communication sciences
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    • v.7 no.5
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    • pp.1139-1144
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    • 2012
  • The ration of payload to weight of industrial robot amounts form 1:10 to 1:30. Compared with man who have a ration of 3:1, it is very low. One of the goals for the next generation of robots will be a ration. This might be possible only by developing lightweight robots. When two-link flexible arm is rotated about an joint axis, transverse vibration may occur. In this paper, vibration dynamics of flexible arm is modeled by using Bernoulli-Euler beam theory and Lagrange equation. Using the fact that matrix $\dot{D}-2C$ is skew symmetric, new controllers which have a simplified structure with less computational burden is proposed by using Lyapunov stability theory. We propose deterministic and adaptive control laws for two link flexible arm, and the validity of the proposed control scheme is shown in computer simulation for two-link flexible arm.

Dynamic Characteristics of a Beam Sujected to an Axial Force and a Force of Time Dependent Frequency - Effect of Solid Viscosity - (시간종속적 하중을 받는 축하중을 받을 때의 동특성 - 고체점성 고찰 -)

  • 정태진;박영조
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.4
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    • pp.456-462
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    • 1986
  • 본 논문은 Voigt형의 고체점성을 갖는 단순기지보에 외부기진력이 sin(1/2 at$^{2}$+1/3bt$^{3}$)인 꼴로 작용할 때에 축하중 및 각속도의 변화에 따른 동적 처짐 효과를 고찰하였다.

Vibration Analysis of Rotating Inward Cantilever Beams With a Tip-Mass (집중질량을 갖는 회전중심방향 자유단 외팔보의 진동해석)

  • Lee, Gun Ho;Yoo, Hong Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.389-391
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    • 2014
  • The Vibration Analysis of Rotating Inward Beams Considering The Tip-Mass is presented based on Euler-Bernoulli beam theory. The frequency equations, which are coupled through gyroscopic coupling terms, are calculated using hybrid deformation variable modeling along with the Rayleigh-Ritz assumed mode methods. In this study, resulting system of ordinary differential equations shows the effects of angular speed, and Young's modulus ratio. It is believed that the results will be a reference with which other researchers and commercial FE analysis program, ANSYS can compare their results.

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Extension of Rational Interpolation Functions for FE Analysis of Rotating Beams (회전하는 보의 유한요소해석을 위한 유리형상함수의 확장)

  • Kim, Yong-Woo;Jeong, Jae-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.6
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    • pp.591-598
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    • 2009
  • Starting from the rotating beam finite element in which the interpolating shape functions satisfy the governing static homogeneous differential equation of Euler-Bernoulli rotating beams, we derived new shape functions that satisfy the governing differential equation which contains the terms of hub radius and setting angle. The shape functions are rational functions which depend on hub radius, setting angle, rotational speed and element position. Numerical results for uniform and tapered cantilever beams with and without hub radius and setting angle are compared with the available results. It is shown that the present element offers an accurate method for solving the free vibration problems of rotating beams.

Beam Vibration Suppression with Translational and Rotational Damped Dynamic Vibration Absorbers (병진 및 회전 감쇠동흡진기를 사용한 보의 진동저감)

  • Park, Sung Gyu;Lee, Shi Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.6_spc
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    • pp.721-728
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    • 2016
  • The combined rotational and translational dynamic vibration absorbers (DVA) with no dampers for the beam vibration control can effectively isolate the vibration within the external excitation force region. This paper investigates the damping efficacy for the combined rotational and translational dynamic vibration absorbers to impose some robustness to the DVA system for the excitation force frequency variation. The beam is assumed to be subjected to a concentrated harmonic excitation force. The solution to the problem is found based on Galerkin method.