Spatially complex localisation in twisted elastic rods constrained to a cylinder

International Journal of Solids and Structures

Volumn 39, Issue 7, 2002, Pages 1863-1883

  Van der Heijden, G H M ^a   Champneys, A R ^b   Thompson, J M T ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Anisotropy; Cylindrical constraint; Drill string; Elastic rod; Helical collapse; Localised solutions; Maxwell failure load; Multi pulse homoclinic orbits; Softening hardening softening response

Indexed keywords

ANISOTROPY; BUCKLING; CHAOS THEORY; DEGREES OF FREEDOM (MECHANICS); HARDENING; INTEGRAL EQUATIONS; OSCILLATORS (MECHANICAL);

DRILL STRINGS;

ELASTICITY;

ELASTIC BODY;

EID: 0037187257     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(01)00234-7     Document Type: Article

References (18)

1. Numerical computations of connecting orbits in discrete and continuous dynamical systems
2. Analysis of Post-buckling Behaviour of Drillstrings
3. Helical buckling of a tube in an inclined wellbore
4. Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells
5. Cellular buckling in long structures
6. Spatially complex equilibria of buckled rods
7. Deformation of an elastic helix in contact with a rigid cylinder
8. Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods
9. The spatial complexity of localised buckling in rods with noncircular cross-section
10. Spatially complex localisation in twisted elastic rods constrained to lie in the plane
11. Helical and localised buckling in twisted rods: A unified analysis of the symmetric case
12. Bifurcation sequences in the interaction of resonances in a model deriving from nonlinear rotordynamics: The zipper
13. The static deformation of a twisted elastic rod constrained to lie on a cylinder