Large deflections of a cantilever beam subjected to a follower force

Journal of Sound and Vibration

Volumn 304, Issue 3-5, 2007, Pages 969-973

  Shvartsman, B S ^a  

^a International University Audentes   (Estonia)

Author keywords

[No Author keywords available]

Indexed keywords

DEFLECTION (STRUCTURES); EULER EQUATIONS; FORCE CONTROL; INITIAL VALUE PROBLEMS; MATHEMATICAL MODELS; PROBLEM SOLVING;

FLEXURAL STIFFNESS DISTRIBUTION; FOLLOWER FORCES; LARGE DEFLECTIONS;

CANTILEVER BEAMS;

EID: 34248576188     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.03.010     Document Type: Article

References (12)

1. Bolotin V.V. Nonconservative Problems of the Theory of Elastic Stability (1963), Pergamon Press, Oxford, UK
2. Leipholz H. Stability of Elastic Systems (1980), Sijthoff and Noordhoff, The Netherlands
3. Rebiere J.P. Nonlinear analysis of a bar under a pure follower force. Journal of Sound and Vibration 60 (1978) 459-460
4. Rao B.N., and Rao G.V. Applicability of static and dynamic criterion for the stability of a cantilever column under a tip-concentrated subtangential follower force. Journal of Sound and Vibration 120 (1987) 197-200
5. Rao B.N., and Rao G.V. Applicability of static or dynamic criterion for the stability of a non-uniform cantilever column subjected to a tip-concentrated subtangential follower force. Journal of Sound and Vibration 122 (1988) 188-191
6. Kounadis A.N. Static stability analysis of elastically restrained structures under follower forces. AIAA Journal 18 (1980) 473-476
7. Argyris J., and Symeonidis S. Nonlinear finite element analysis of elastic systems under nonconservative loading-natural formulation. Part 1. Quasistatic problems. Computer Methods in Applied Mechanics and Engineering 26 (1981) 75-123
8. Rao B.N., and Rao G.V. On the large deflection of cantilever beams with end rotational load. Zeitschrift fur Angewandte Mathematik und Mechanik 66 (1986) 507-508
9. Rao B.N., Shastry B.P., and Rao G.V. Large deflections of a cantilever beam subjected to a tip concentrated rotational load. Aeronautical Journal 90 (1986) 262-266
10. Rao B.N., and Rao G.V. Large deflections of a non-uniform cantilever beam with end rotational load. Forschung Ingenieurwesen 54 (1988) 24-26
11. B.S. Shvartsman, Direct method for analysis of flexible beam under a follower load. Proceedings of Computational of Mechanics for the Next Millennium, Vol. 1, Singapore, 1999, pp. 155-160.
12. Navaee S., and Elling R.E. Equilibrium configurations of cantilever beams subjected to inclined end loads. Journal of Applied Mechanics 59 (1992) 572-579