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Dynamics Analysis for Flexible Systems using Finite Elements and Algebraic Quaternions  

Lee, Dong-Hyun (금오공과대학교 자동차공학부)
Yun, Seong-Ho (금오공과대학교 기계공학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.18, no.2, 2005 , pp. 141-149 More about this Journal
Abstract
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.
Keywords
flexible multibody dynamics; quaternion finite rotation; energy conservation scheme; flexibie joint; Rodrigues parameter;
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1 Bauchau. O.A ., Bottasso. C.L ., Nikishkov Y.G. (2001) Modeling Rotorcraft Dynamics with Finite Element Multibody Procedures, Mathematical and Computer Modeling, 33, pp.1113-1137   DOI   ScienceOn
2 Kane T.R., Likins P. W., Levinson D.A. (1983) Spacecraft Dynamics. McGraw-Hill Co., p.436
3 Nikravesh , P.E.(1988) Computeraided Analysis of Mechanical Systems, Prentice-Hall. New Jersey. p.370
4 Bottasso . C.L ., Borri M.( 1997) Energy Preserving/Decaying Schemes for Nonlinear Beam Dynamics Using the Helicoidal Approximation, Computer Mechanics in Applied Mechanics and Engineering, 143, pp.393-415   DOI   ScienceOn
5 Antes. H ., Shanz , M ., Alvermann. S.(2004) Dynamic Analyses of Plane Frames by Integral Equations for Bars and Timoshenko Beams, Journal of Sound and Vibration, 276, pp.807-836   DOI   ScienceOn
6 홍준표(1999) C 및 FORTRAN에 의한 컴퓨터 수치 해석, 문운당, p.458
7 Simo. J. C., Tarnow. N ., Doblare , M.(1995) Non-linear Dynamics of Three-dimensional Rods: Exact Energy and Momentum Conserving Algorithms, International Journal of Numerical Methods in Engineering, 38, pp .1431-1473   DOI   ScienceOn
8 Simo . J. C., Wong. K.(1991) Unconditionally Stable Algorithms for Rigid Body Dynamics that Exactly Preserve Energy and Momentum, International Journal for Numerical Methods in Engineering, 3, pp.19-52
9 Householder. A.S.(1953) Principles of Numerical Analysis. McGraw-Hill, Inc., p.274
10 Hilber , H.M ., Hughes. T.J.R ., Taylor, R.L.(1977) Improved Numerical Dissipation for Time Integration Algorithms in Structural Dynamics. Earthquake Engineering and Structural Dynamics. 5. pp.282-292
11 Liu , J.Y ., Hong. J.Z. (2003) Geometric Stiffening of Flexible Link System with Large Overall Motion. Computers & Structures. 81. pp.2829-2841   DOI   ScienceOn
12 Simo , J. C., Tarnow. N.(1992) The Discrete Energy-momentum Conserving Algorithms for Nonlinear Dynamics, ZAMP. 43, pp. 757-792   DOI
13 Geradin. M., Cardona A.(2001) Flexible Multibody Dynamics, John Wiley & Sons Ltd., p.327