• Title/Summary/Keyword: quaternion finite rotation

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Analysis of Rotor Systems by Using Rotation Parametrizations (회전운동의 매개화를 이용한 로터 시스템 해석)

  • Yun, Seong-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.1
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    • pp.130-137
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    • 2009
  • This paper deals with the comparisons of methodologies to express finite rotations accounting for analysis of the rotor system. Researches have been made to predict a behavior of its rotational motion by introducing Euler angles which turned out to be lack in consistency and exactness of the analysis. To overcome this deficiency a new methodology is applied by using both spherical coordinate and quaternion in the rotor rotation and shows its superiority over choices of the Euler angle in terms of kinetic energy and rotation velocity. It is found through numerical examples that quaternion is a more useful and valid tool to derive the ideal numerical model of the rotor system.

Inelastic Transient Dynamic Analysis of Two- and Three-dimensional Stress Problems by Particular Integral Boundary Element Method (로터 시스템 회전운동의 정식화 및 해석)

  • Yun, Seong-Ho;Ren, Li-Min
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.5
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    • pp.475-482
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    • 2008
  • This paper indicates that the use of Euler angles lacks in its consistency and exactness of analysis when it was applied to incorporate the rotational equation of motion for rotor systems by previous researcher. Kinetic energy and angular velocity are different from case to case depending on the way of choosing Euler angles and thus only the linear system has been investigated even though the rotor system has a very nonlinear behavior. A new methodology is applied by using both spherical coordinate and quaternion in the rotor rotation to overcome weaknesses of Euler angles and shows its superiority It is found through numerical examples that the use of quaternion will be a more useful and valid tool to derive the numerical model of the rotor system.

The Dynamics Analysis for Nonlinear Flexible Mechanisms using Finite Elements and Algebraic Quaternions (유한요소와 4원법을 이용한 비선형 유연체동역학의 해석기법)

  • 이동현;윤성호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.9-16
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    • 2004
  • This paper deals with the development of computational schemes for the dynamic analysis of flexible and nonlinear multibody systems. Different from the existing method, this paper introduces the quaternion algebra to develop the equation of the conservation of energy. Simultaneously, Rodrigues parameters are used to express the finite rotation for the proposed scheme. The proposed energy scheme is derived such that it provides unconditionally stable conditions for the nonlinear problems. Several examples of dynamic systems are presented which illustrate the efficiency and accuracy of the developed energy schemes.

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Dynamics Analysis for Flexible Systems using Finite Elements and Algebraic Quaternions (4원법과 유한요소를 이용한 유연체 동역학의 해석기법)

  • Lee, Dong-Hyun;Yun, Seong-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.2
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    • pp.141-149
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    • 2005
  • This paper deals with formulations of the energy equilibrium equation by an introduction of the algebraic description, quarternion, which meets conservations of system energy for the equation of motion. Then the equation is discretized to analyze the dynamits analysis of flexible multibody systems in such a way that the work done by the constrained force completely is eliminated. Meanwhile, Rodrigues parameters we used to express the finite rotation lot the proposed method. This method lot the initial essential step to a guarantee of developments of the 3D dynamical problem provides unconditionally stable conditions for the nonlinear problems through the numerical examples.