Dynamic stability of a free-free Timoshenko beam subjected to a pulsating follower force

Journal of Sound and Vibration

Volumn 216, Issue 4, 1998, Pages 623-636

  Kim, J H ^b   Choo, Y S ^a  

^a Agency for Defence Development   (South Korea)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; DYNAMIC RESPONSE; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; NATURAL FREQUENCIES; SHEAR DEFORMATION; STABILITY;

FOLLOWER FORCE; FREE-FREE TIMOSHENKO BEAMS;

VIBRATIONS (MECHANICAL);

EID: 0032184487     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1717     Document Type: Article

References (24)

1. T. R. BEAL 1965 American Institute of Aeronautics and Astronautics Journal 3, 486-494. Dynamic stability of a flexible missile under constant and pulsating thrusts.
2. J. J. Wu 1976 Journal of Sound and Vibration 49, 141-147. On missile stability.
3. Y. P. PARK 1987 Journal of Sound and Vibration 113, 407-415. Dynamic stability of a free Timoshenko beam under a controlled follower force.
4. Y. P. PARK and C. D. MOTE JR. 1985 Journal of Sound and Vibration 98, 247-256. The maximum controlled follower force on a free-free beam carrying a concentrated mass.
5. Y. P. PARK and B. J. RYU 1987 Proceedings of the KSME/JSME Vibration Conference 309-318. Effect of a concentrated mass on the stability of a free Timoshenko beam under a controlled follower force.
6. Y. SUGIYAMA, J. MATSYIKE, B. A. RYU, K. KATAYAMA, S. KINOI and N. ENOMOTO 1995 American Institute of Aeronautics and Astronautics Journal 33, 499-503. Effect of concentrated mass on stability of cantilevers under rocket thrust.
7. K. HIGUCHI and E. H. DOWELL 1990 American Institute of Aeronautics and Astronautics Journal 28, 1300-1305. Dynamic stability of a rectangular plates with four free edges subjected to a follower force.
8. K. HIGUCHI and E. H. DOWELL 1989 Journal of Sound and Vibration 129, 255-269. Effects of the Poisson ratio and negative thrust of the dynamic stability of a free plates subjected to a follower force.
9. J. E. BROWN, J. M. HUTT and A. E. SALAMA 1968 American Intitute of Aeronautics and Astronautics Journal 6, 1423-1425. Finite element solution to dynamic stability of bars.
10. J. S. HUANG and L. H. HUNG 1984 International Journal for Non-linear Mechanics 19, 287-301. Dynamic stability for a simply supported beam under periodic axial excitation.
11. B. P. SHASTRY and G. V. RAO 1984 Computers and Structures 19, 823-827. Dynamic stability of bars considering shear deformation and rotary inertia.
12. S. K. SINHA 1989 Journal of Sound and Vibration 131, 509-514. Dynamic stability of a Timoshenko beam subjected to an oscillating axial force.
13. R. C. KAR and T. SUJATA 1992 Journal of Sound and Vibration 154, 81-93. Stability boundaries of a rotating cantilever beam with end mass under a transverse follower excitation.
14. G. CEDERBAUM and M. MOND 1992 Journal of Applied Mechanics 59, 16-19. Stability properties of a viscoelastic column under a periodic force.
15. H. P. LEE 1995 International Journal for Solids Structures 32, 3377-3392. Effects of initial curvature on the dynamic stability of a beam with tip mass subjected to axial pulsating loads.
16. T. H. YOUNG and F. Y. CHEN 1994 Journal of Sound and Vibration 171, 603-615. Stability of skew plates subjected to aerodynamic and in-plane forces.
17. T. H. YOUNG and F. Y. CHEN 1993 American Institute of Aeronautics and Astronautics Journal 31, 1667-1673. Stability of fluttered panels subjected to in-plane harmonic forces.
18. R. S. SRINIVASA 1986 Computer and Structures 24, 233-238. Dynamic stability of rectangular laminated composite plates.
19. G. CEDERBAUM 1991 American Institute of Aeronautics and Astronautics Journal 29, 2000-2005. Dynamic instability of shear deformable laminated plates.
20. C. L. LIAO and C. R. CHENG 1994 Journal of Sound and Vibration 174, 335-351. Dynamic stability of stiffened laminated composite plates and shells subjected to in-plane pulsating forces.
21. H. ZIEGLER 1968 Principles of Structural Stability. Waltham, MA: Blaisdell Publishing.
22. V. V. BOLOTIN 1964 The Dynamic Stability of Elastic Systems. San Francisco, CA: Holden-Day.
23. A. H. NAYFEH and D. T. MOOK 1979 Nonlinear Oscillations. New York: John Wiley.
24. G. DHATT and G. TOUZOT 1984 The Finite Element Method Displayed. New York: John Wiley.