Dynamic analysis of very flexible beams

Journal of Sound and Vibration

Volumn 305, Issue 3, 2007, Pages 521-533

  Fotouhi, R ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; FINITE ELEMENT METHOD; NONLINEAR ANALYSIS; ROBOTIC ARMS; ROTATING MACHINERY; VIBRATION ANALYSIS;

FLEXIBLE BEAMS; ROTATING FLEXIBLE ROBOT ARMS; STATIC EQUILIBRIUM;

CANTILEVER BEAMS;

EID: 34447506006     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.01.032     Document Type: Article

References (24)

1. Fried I. Stability and equilibrium of the straight and curved elastica-finite element computation. Computer Methods in Applied Mechanics and Engineering 28 (1981) 49-61
2. Gans R.F. On the dynamics of a conservative elastic pendulum. ASME Journal of Applied Mechanics 59 (1992) 425-430
3. Stylianou M., and Tabarrok B. Finite element analysis of an axially moving beam, part i: time integration. Journal of Sound and Vibration 178 (1994) 433-453
4. Stylianou M., and Tabarrok B. Finite element analysis of an axially moving beam, part ii: stability analysis. Journal of Sound and Vibration 178 (1994) 455-481
5. Coleman B.D., and Xu J.-M. On the interaction of solitary waves of flexure in elastic rods. Acta Mechanica 110 (1995) 173-182
6. Essebier S., and Baker G. Computational techniques for nonlinear dynamics of continuous systems. Journal of Engineering Mechanics 121 (1995) 1193-1199
7. Stolte J., and Benson R.C. Dynamic deflection of paper emerging from a channel. Journal of Vibration and Acoustics 114 (1992) 187-193
8. Simo J.C., and Tarnow N. Non-linear dynamics of three-dimensional rods: exact energy and momentum conserving algorithms. International Journal for Numerical Methods in Engineering 38 (1995) 1431-1473
9. Snyder J.M., and Wilson J.F. Dynamics of the elastica with end mass and follower loading. ASME Journal of Applied Mechanics 57 (1990) 203-208
10. Tsang T.Y., and Arabyan A. A novel approach to the dynamic analysis of highly deformable bodies. Computers and Structures 58 (1996) 155-172
11. Yoo H.H., Ryan R.R., and Scott R.A. Dynamics of flexible beams undergoing overall motions. Journal of Sound and Vibration 181 (1995) 261-278
12. Chung J., and Yoo H.H. Dynamic analysis of a rotating cantilever beam by using the finite element method. Journal of Sound and Vibration 249 (2002) 147-164
13. Ibrahimbegovic A., Taylor R.L., and Lim H. Non-linear dynamics of flexible multibody systems. Computers and Structures 81 (2003) 1113-1132
14. Du H., and Ling S.F. A nonlinear dynamics model for three-dimensional flexible linkages. Computers and Structures 56 (1995) 15-23
15. Cusmano J.P., and Moon F.C. Chaotic non-planar vibrations of the thin elastica, part i: experimental observation of planar instability. Journal of Sound and Vibration 179 (1995) 185-208
16. Cusmano J.P., and Moon F.C. Chaotic non-planar vibrations of the thin elastica, part ii: derivation and analysis of a low-dimensional model. Journal of Sound and Vibration 179 (1995) 209-226
17. Shabana A.A., Hussien H.A., and Escalona J.L. Application of the absolute nodal coordinate formulation to large rotation and large deformation problems. Journal of Mechanical Design, Transactions of the ASME 120 (1998) 188-195
18. Rubin M.B. Numerical solution procedures for nonlinear elastic rods using the theory of a cosserat point. International Journal of Solids and Structures 38 (2001) 4395-4437
19. Jiang J.J., Hsiao C.L., and Shabana A.A. Calculation of non-linear vibration of rotating beams by using tetrahedral and solid finite elements. Journal of Sound and Vibration 148 (1991) 193-213
20. Ambrosio J.A.C. Dynamics of structures undergoing gross motion and nonlinear deformations: a multibody approach. Computers and Structures 59 (1996) 1001-1012
21. Simo J.C., and Vu-Quoc L. On the dynamics of flexible beams under large overall motions-the plane case: part ii. ASME Journal of Applied Mechanics 53 (1986) 855-863
22. Hsiao K.-M., and Jang J.-Y. Dynamic analysis of planar flexible mechanisms by co-rotational formulation. Computer Methods in Applied Mechanics and Engineering 87 (1991) 1-14
23. Meek J.L., and Liu H. Nonlinear dynamics analysis of flexible beams under large overall motions and the flexible manipulator simulation. Journal of Computers and Structures 56 (1995) 1-14
24. Raboud D.W., Lipsett A.W., Faulkner M.G., and Diep J. Stability evaluation of very flexible cantilever beams. International Journal of Non-Linear Mechanics 37 (2001) 1109-1122