An internal damping model for the absolute nodal coordinate formulation

Nonlinear Dynamics

Volumn 42, Issue 4, 2005, Pages 347-369

  Garcid a Vallejo D ^a   Valverde, J ^a   Dominguez J ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

Absolute nodal coordinates; Flexible multibody dynamics; Internal damping

Indexed keywords

COMPUTER SIMULATION; DEFORMATION; INTEGRATION; MATRIX ALGEBRA; REAL TIME SYSTEMS; STRAIN; VECTORS; VISCOELASTICITY;

ABSOLUTE NODAL COORDINATES; DEFORMATION RATES; FLEXIBLE MULTIBODY DYNAMICS; INTERNAL DAMPING;

DAMPING;

EID: 28144435398     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-6445-1     Document Type: Article

References (25)

1. Valverde, J., Escalona, J. L., Mayo, J., and Domínguez, J., 'Dynamic analysis of a light structure in outer space: Short Electrodynamic Tether', Multibody System Dynamics 10(1), 2003, 125-146.
2. Shabana, A. A., Dynamics of Multibody Systems, 2nd edn., Cambridge University Press, 1998.
3. García de Jalón, J. and Bayo, E., Kinematic and Dynamic Simulation of Multibody Systems - The Real-Time Challenge, Springer-Verlag, New York, 1993.
4. Simo, J. C. and Vu-Quoc, L., 'On the dynamics of flexible beams under large overall motions - The plane case: Part I and Part II', ASME Journal of Applied Mechanics 53, 1986, 849-863.
5. Escalona, J. L., Hussien, H. A., and Shabana, A. A., 'Application of the absolute nodal coordinate formulation to multibody system dynamic', Journal of Sound and Vibration 214(5), 1998, 833-951.
6. Takahashi, Y., Shimizu, N., and Suzuki, K., 'Introduction of damping matrix into absolute coordinate formulation', in Proceedings of the Asian Conference on Multibody Dynamics, Iwaki, Fikushima, 2002, pp. 33-40.
7. Yoo, W., Lee, J., Sohn, J., Park, S., Dmitrochenko, O., and Pogorelov, D., 'Comparison of physical experiments and computer simulation with ANCF: Large deformation of a thin cantilever beam', in Proceedings of the ASME DETC&CIE Conference, Chicago, IL, 2003.
8. Novozhilov, V. V., Foundations of the Nonlinear Theory of Elasticity, 2nd edn., Graylock Press, Rochester, 1957.
9. Omar, M. and Shabana, A. A., 'A two-dimensional shear deformable beam for large rotation and deformation problems', Journal of Sound and Vibration 243(3), 2001, 565-573.
10. Shabana, A. A. and Yakoub, R. Y., 'Three-dimensional absolute nodal coordinate formulation for beam elements: Theory', ASME Journal of Mechanical Design 123, 2001, 606-613.
11. Snowdon, J. C., Vibration and Shock in Damped Mechanical Systems, Wiley, New York, 1968.
12. García-Vallejo, D., Mayo, J., Escalona, J. L., and Domínguez, J., 'Efficient evaluation of the elastic forces and the Jacobian in the absolute nodal coordinate formulation', Nonlinear Dynamics 35, 2004, 313-329.
13. Mikkola, A. M. and Shabana, A. A., 'A non-incremental finite element procedure for the analysis of large deformation of plates and shells in mechanical system applications', Multibody System Dynamics 9, 2003, 283-309.
14. Meirovitch, L., Methods of Analytical Mechanics, McGraw-Hill, New York, 1970.
15. Ginsberg, J. H., Mechanical and Structural Vibrations, Wiley, New York, 2001.
16. Findley, W. N., Lai, J. S., and Onaran, K., Creep and Relaxation of Nonlinear Viscoelastic Materials, North-Holland Publishing, 1976.
17. Simo, J. C. and Hughes, T. J. R., Computational Inelasticity, Springer-Verlag, New York, 1998.
18. Sugiyama, H. and Shabana, A. A., 'Application of plasticity theory and absolute nodal coordinate formulation to flexible multibody system dynamics', ASME Journal of Mechanical Design 126, 2004, 478-487.
19. Nashif, A. D., Jones, D. I. G., and Henderson, J. P., Vibration Damping, Wiley, New York, 1985.
20. Shabana, A. A., Theory of Vibration, Volume II: Discrete and Continuous Systems, Springer-Verlag, New York, 1991.
21. Valverde, J., Escalona, J. L., Freire, E., and Domínguez, J., 'Stability and bifurcation analysis of a geometrically nonlinear orthotropic Jeffcott model with internal damping', Nonlinear Dynamics, in press.
22. Timoshenko, S. and Goodier, J. N., Theory of Elasticity, McGraw-Hill, New York, 1951.
23. Cuadrado, J., Cardenal, J., and Garcia de Jalon, J.,'Flexible mechanisms through natural coordinates and component mode synthesis: An approach fully compatible with the rigid case', International Journal of Numerical Methods in Engineering 39, 1996, 3535-3551.
24. Wu, S. and Haug, E. J., 'Geometric non-linear substructuring for dynamics of flexible mechanical systems', International Journal for Numerical Methods in Engineering 26, 1988, 2211-2226.
25. Sopanen, J. T. and Mikkola, A. M., 'Description of elastic forces in absolute nodal coordinate formulation', Nonlinear Dynamics 34, 2003, 53-74.