Damping effects on the dynamic stability of a rod subjected to intermediate follower loads

Computer Methods in Applied Mechanics and Engineering

Volumn 131, Issue 1-2, 1996, Pages 147-157

  Lee, H P ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; EQUATIONS OF MOTION; LOADS (FORCES); NUMERICAL METHODS; STABILITY;

DYNAMIC STABILITY; EULER BEAM; INTERMEDIATE SUBTANGENTIAL FOLLOWER LOAD; ROD;

DAMPING;

EID: 0030121397     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(95)00937-X     Document Type: Article

References (39)

1. V.V. Bolotin, The Dynamic Stability of Elastic Systems (Holden-Day, San Francisco, 1964).
2. V.V. Bolotin, Nonconservative Problems of the Theory of Elastic Stability (Pergamon Press, London, 1965).
3. H. Ziegler, Principles of Structural Stability (Blaisdell Publ. Co., Toronto, 1968).
4. H. Leipholz, Stability of Elastic Systems (Sijthoff & Noordhoff, The Netherlands, 1980).
5. A. Guran and F.P.J. Rimrott, On the dynamic stability of an elastic rod under a slave tip loading, ASME Publication DE-Vol. 18-4: Vibration analysis-Techniques and Applications (1989) 225-228.
6. B. Nageswara Rao and G. Venkateswara Rao, Applicability of static or dynamic criterion on the stability of a cantilever column under a tip concentrated subtangential follower force, J. Sound Vib. 118 (1987) 197-200.
7. B. Nageswara Rao and G. Venkateswara Rao, Stability of a canilever column under a tip-concentrated subtangential follower force with the value of sub-tangential parameter close to or equal to 1/2, J. Sound Vib. 121 (1988) 181-188.
8. B. Nageswara Rao and G. Venkateswara Rao, Stability of a cantilever column under a tip-concentrated subtangential follower force with damping, J. Sound Vib. 138 (1990) 341-344.
9. H.B. Keller, Accurate difference methods for nonlinear two-point boundary value problems, J. Numer. Anal. 11 (1974) 305-320.
10. M. Levinson, Application of the Galerkin and Ritz methods to nonconservative problems of elastic stability, ZAMP 17 (1966) 431-442.
11. B.J. Ryu and Y. Sugiyama, Dynamic stability of cantilivered Timoshenko columns subjected to a rocket thrust, Comput. Struct. 51 (1994) 331-335.
12. S.Y. Lee and Y.H. Kuo, Elastic stability of non-uniform columns, J. Sound Vib. 148 (1991) 11-24.
13. S.Y. Lee and C.C. Yang, Non-conservative instability of non-uniform beams resting on an elastic foundation, J. Sound Vib. 169 (1994) 433-444.
14. S.Y. Lee, Y.H. Kuo and F.Y. Lin, Stability of a Timoshenko beam resting on a Winkler elastic foundation, J. Sound Vib. 153 (1992) 193-202.
15. M.A. De Rosa and C. Franciosi, The influence of an intermediate support on the stability behavior of cantilever beams subjected to follower forces, J. Sound Vib. 137 (1990) 107-115.
16. L.M. Zorii and Y.A. Chernukha, Influence of support conditions on the dynamic stability of elastic column, Prikl. Mekh. 7 (1971) 134-136.
17. A.N. Kounadis, On the static stability analysis of elastically restrained structures under follower forces, AIAA J. 18 (1980) 473-476.
18. A.N. Kounadis, Divergence and flutter instability of elastically restrained structures under follower forces, Int. J. Engrg. Sci. 19 (1981) 553-562.
19. A.N. Kounadis, The existence of regions of divergence instability for nonconservative systems under follower forces, Int. J. Solids Struct. 19 (1983) 725-733.
20. A.N. Kounadis and A.P. Economou, The effects of joint stiffness and of the constraints on the type of instability of a frame under a follower force, Acta Mech. 36 (1980) 157-168.
21. I. Elishakoff and J. Hollkamp, Computerized symbolic solution for a nonconservative system in which instability occurs by flutter in one range of a parameter and by divergence in another, Comput. Methods Appl. Mech. Engrg. 62 (1987) 27-46.
22. H.P. Lee, Divergence and flutter of a cantilever rod with an intermediate spring support, Int. J. Solids Struct. 32 (1995) 1371-1382.
23. J. Argyris and Sp. Syneonidis, Nonlinear finite element analysis of elastic systems under non-conservative loading-natural formulation. Part I. Quasistatic problems, Comput. Methods Appl. Mech. Engrg. 26 (1981) 75-124.
24. J. Argyris and Sp. Syneonidis, A sequel to: Nonlinear finite element analysis of elastic systems under nonconservative loading-natural formulation. Part I. Quasistatic problems, Comput. Methods Appl. Mech. Engrg. 26 (1981) 377-383.
25. J. Argyris, K. Straub and Sp. Syneonidis, Nonlinear finite element analysis of elastic systems under nonconservative loading-natural formulation. Part II. Dynamic problems, Comput. Methods Appl. Mech. Engrg. 28 (1981) 241-258.
26. J. Argyris, K. Straub and Sp. Syneonidis, Static and dynamic stability of nonlinear elastic systems under nonconservative forces-natural approach, Comput. Methods Appl. Mech. Engrg. 32 (1982) 59-83.
27. V.V. Bolotin and N.I. Zhinzher, Effects of damping on stability of elastic systems subjected to nonconservative forces, Int. J. Solids Struct. 5 (1969) 965-989.
28. G. Herrmann and I.C. Jong, On the destabilizing effect of damping in nonconservative elastic systems, J. Appl. Mech. 32 (1965) 592.
29. G. Herrmann and I.C. Jong, On nonconservative stability problems of elastic systems with slight damping, J. Appl. Mech. 33 (1966) 125.
30. S. Nemat-Nasser, On the stability of the equilibrium of nonconservative continuous systems with slight damping, J. Appl. Mech. 34 (1967) 344-348.
31. K. Huseyin, Vibration and Stability of Multiple Parameter Systems (Sijthoff and Noordhoff, The Netherland, 1978).
32. R.H. Plaut, Post buckling analysis of nonconservative elastic systems, J. Struct. Mech. 4 (1976) 395-416.
33. A.N. Kounadis, On the reliability of classical divergence instability analyses of Ziegler's non-conservative model, Comput. Methods Appl. Mech. Engrg. 95 (1992) 313-330.
34. A.N. Kounadis, Static and dynamic, global and local bifurcations in nonlinear autonomous structural systems, AIAA J. 31 (1993) 1468-1477.
35. A.N. Kounadis, On the failure of static stability analyses of nonconservative systems in regions of divergence instability, Int. J. Solids Struct. 31 (1994) 2099-2120.
36. A. Kikuchi, A finite element method for non-self adjoint problems, Int. J. Numer. Methods Engrg. 6 (1973) 39-54.
37. B.P. Shastry and G. Venkateswara Rao, Dynamic stability of a cantilever column with an intermediate concentrated periodic load, J. Sound Vib. 113 (1987) 194-197.
38. B.P. Shastry and G. Venkateswara Rao, Stability boundaries of a cantilever column subjected to an intermediate periodic concentrated axial load, J. Sound Vib. 116 (1987) 195-198.
39. Y. Sugiyama, Y. Tanaka, T. Kishi and H. Kawagoe, Effect of a spring support on the stability of pipes conveying fluid, J. Sound Vib. 100 (1985) 257-270.