Modeling spatial motion of 3D deformable multibody systems with nonlinearities

Multibody System Dynamics

Volumn 15, Issue 1, 2006, Pages 67-84

  Vetyukov, Yu ^a,b   Gerstmayr, J ^a   Irschik, H ^a,b  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b PETER THE GREAT ST PETERSBURG POLYTECHNIC UNIVERSITY   (Russian Federation)

Author keywords

Constraint linearization; Elasto plasticity; Geometrical stiffening; Integral constraints

Indexed keywords

COMPUTATIONAL METHODS; CONTROL NONLINEARITIES; DEGREES OF FREEDOM (MECHANICS); KINEMATICS; LINEARIZATION; MOTION ESTIMATION; NUMERICAL METHODS; RUNGE KUTTA METHODS;

CONSTRAINT LINEARIZATION; ELASTO-PLASTICITY; GEOMETRICAL STIFFENING; INTEGRAL CONSTRAINTS;

MULTI AGENT SYSTEMS;

EID: 33646529384     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11044-006-2363-3     Document Type: Article

References (20)

1. Banerjee, A.K. and Dickens, J.M., 'Dynamics of an arbitrary flexible body in large rotation and translation', J. Guidance, Control, and Dynamics 13(2), 1990, 221-227.
2. Düster, A., High order finite elements for three-dimensional, thin-walled nonlinear continua. Aachen: Shaker Verlag, 2002.
3. Eich-Soellner, E. and Führer, C., Numerical methods in multibody dynamics, B.G. Teubner, Stuttgart, 1998.
4. Gerstmayr, J., 'Strain tensors in the absolute nodal coordinate and the floating frame of reference formulation', Nonlinear Dynamics 34, 2003, 133-145.
5. Hairer, E. and Wanner, G., 'Stiff differential equations solved by Radau methods', J. Comput. Appl. Math. 111, 1999, 93-111.
6. Irschik, H. and Ziegler, F., 'Dynamic processes in structural thermo-viscoplasticity', Applied Mechanics Reviews 48, 1995, 301-315.
7. Kübler, L., Eberhard, P. and Geisler, J., 'Flexible multibody systems with large deformations using absolute nodal coordinates for isoparametric solid brick elements', Proceedings of DETC'03, Chicago, Illinois, USA, 2003.
8. Ryu, J., Kim, S.S. and Kim, S.S., 'A general approach to stress stiffening effects on flexible multibody dynamic systems', Mechanics of Structures and Machines 22(2), 1994, 157-180.
9. Shabana, A.A. and Schwertassek, R., 'Equivalence of the floating frame of reference approach and finite element formulations', International Journal of Non-Linear Mechanics 33, 1998, 417-432.
10. Shabana, A.A., Dynamics of Multibody Systems, 2nd edn., Cambridge University Press, United Kingdom, 1998.
11. Sharf, I., 'A survey of geometric stiffening in multibody dynamics formulations, Wave motion, intelligent structures and nonlinear mechanics', Ser. Stab. Vib. Control Struct. 1, 1995, 239-279, World Sci. Publishing, River Edge, NJ.
12. Simo, J.C. and Hughes, T.J.R., Computational Inelasticity, Springer, New York, 1998.
13. Truesdell, C., Rational Thermodynamics, McGraw-Hill, 1969.
14. Truesdell, C. and Noll, W., The Non-linear Field Theories of Mechanics, In: Encyclopedia of Physics III/1, Springer, Berlin, 1996.
15. Vetyukov, Yu, 'Consistent approximation for the strain energy of a 3D elastic body adequate for the stress stiffening effect', To appear in International Journal of Structural Stability and Dynamics, 4(2), 2004.
16. Vetyukov, Yu., Gerstmayr, J. and Irschik, H., 'Plastic multipliers as driving variables of numerical simulation in elastoplasticity', Mechanics Research Communications 30, 2003, 421-430.
17. Vetyukov, Yu., Gerstmayr, J. and Irschik, H., 'Fixed-point type iterations in numerical simulations for static and dynamic elastoplasticity', PAMM. Proc. Appl. Math. Mech. 3, 318-319.
18. Vetyukov, Yu., Gerstmayr, J. and Irschik, H., 'The comparative analysis of the fully nonlinear, the linear elastic and the consistently linearized equations of motion of the 2D elastic pendulum', J. Computers and Structures, accepted for publication.
19. Wasfy, T.M. and Noor, A.K., 'Computational strategies for flexible multibody systems', Applied Mechanics Reviews 56(6), 2003, 553-613.
20. Zheng, Q.-S., Hwang, K.C. and Betten, J., 'On the mean rotation tensors', Int. J. Solids Structures 31(22), 1994, 3153-3173.