The comparative analysis of the fully nonlinear, the linear elastic and the consistently linearized equations of motion of the 2D elastic pendulum

Computers and Structures

Volumn 82, Issue 11-12, 2004, Pages 863-870

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

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

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

Author keywords

Elastic pendulum; Flexible multibody dynamics; Floating frame of reference; Linearized equations of motion; Symbolic equations derivation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DEFORMATION; ELASTICITY; EQUATIONS OF MOTION; INTEGRATION; LINEAR EQUATIONS;

ELASTIC PENDULUMS; FLEXIBLE MULTIBODY DYNAMICS; LINEARIZED EQUATIONS OF MOTION; SYMBOLIC EQUATIONS DERIVATION;

PENDULUMS;

EID: 2342487441     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.02.015     Document Type: Article

References (12)

1. Shabana A.A. Dynamics of multibody systems. second ed. 1998;Cambridge University Press, Cambridge.
2. Bathe K.J. Finite element procedures. 1996;Prentice-Hall, Englewood Cliffs, NJ.
3. Shabana A.A., Schwertassek R. Equivalence of the floating frame of reference approach and finite element formulations. Int. J. Non-Linear Mech. 33(3):1998;417-432.
4. 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 2004;4(2).
5. Gerstmayr J., Irschik H. Vibrations of the elasto-plastic pendulum. Int. J. Non-Linear Mech. 38(1):2003;111-122.
6. Sachau D, Schwertassek R. Flexible multibody system equations linearized by perturbation techniques. European Space Research and Technology Centre (ESTEC) Workshop on Advanced Mathematical Methods in the Dynamics of Flexible Bodies. The Netherlands, ESA: Nordwijk; 1996.
7. Schwertassek R., Wallrap O., Shabana A.A. Flexible multibody simulation and choice of shape functions. Nonlinear Dyn. 20:1999;361-380.
8. Truesdell C., Noll W. The non-linear field theories of mechanics. Encyclopedia of Physics III. 1:1996;Springer, Berlin.
9. Schwab Ch. p - and hp -Finite element methods. Theory and applications in solid and fluid mechanics:1998;Clarendon press, Oxford.
10. Düster A. High order finite elements for three-dimensional, thin-walled nonlinear continua. 2002;Shaker Verlag, Aachen.
11. Gerstmayr J. A solution strategy for elasto-plastic multibody systems and related problems. 2001;University of Linz, Austria.
12. Nayfeh A.H. Introduction to perturbation techniques. 1993;Wiley, New York.